Consider the second-order reaction: 2NO2​( g)→2NO(g)+O2​( g) Use the simulation to find the initial concentration [NO2​]0​ and the rate constant k for the reaction. What will be the concentration of NO2​ after t=70.0 s([NO2​]t​) for a reaction starting under the condition in the simulation? Express your answer in moles per liters to three significant figures. X Incorrect; Try Again; 2 attempts remaining

Answers

Answer 1

The simulation displays the concentration data for the given reaction with time. The plot gives the data as a function of time from which the concentration can be calculated.

Therefore, we need to take the initial concentration from the simulation and then use the rate equation to calculate the rate constant, k, for the reaction. Step 1: Finding the initial concentration [NO2]0The given data is: [NO2]0=0.10 M [NO]0=0.0 M [O2]0=0.0 M The rate equation for the reaction is:k=[NO2]02t[NO2]0−[NO2]t Where k is the rate constant, [NO2]0 is the initial concentration of NO2 and [NO2]t is the concentration of NO2 at time t.Using the given data, we have t=0, [NO2]t=0.087 M Substituting the values in the equation, we getk=[NO2]02t[NO2]0−[NO2]t=0.87 M2(0.10 M)−0.087 Mk=0.125M−1s−1

Step 2: Finding the concentration of NO2 after t=70.0 s([NO2]t)The rate equation for the reaction is:k=[tex][NO2]02t[NO2]0−[NO2]integrating the equation gives,[NO2]t=[NO2]0/[1+(k[NO2]0)t/2]2=0.10M,[NO2]t=0.1/[1+(0.125M−1s−1×0.10M×70s)/2]2=0.028M[/tex]Therefore, the concentration of NO2 after t=70.0 s([NO2]t) is 0.028 M (approx) for a reaction starting under the conditions given in the simulation. Answer: The concentration of NO2 after t=70.0 s([NO2]t) is 0.028 M (approx.) for a reaction starting under the conditions given in the simulation.

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Related Questions

In a container you have 3 gases −X,Y, and Z - each present in the same amount by weight. Their molecular weights are in the order X>Y>Z. The total pressure in the container is 1 atm. The partial pressure contributed by each gas would be in the order: A. X>Y>Z B. Z>Y>X C. X=Y=Z=0.333 atm D. X=Y=Z= latm E. Data insufficient

Answers

The partial pressure contributed by each gas would be in the order X=Y=Z= 0.333 atm.

Hence, the correct option is C.

The partial pressure contributed by each gas in the container can be determined using Dalton's Law of Partial Pressures, which states that the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of each gas.

Given that X, Y, and Z are present in the container in equal amounts by weight and X>Y>Z in terms of molecular weights, we can conclude that gas X has the highest molecular weight, followed by gas Y, and then gas Z.

According to Dalton's Law, the partial pressure of each gas is directly proportional to its mole fraction. Since the three gases are present in equal amounts by weight, their mole fractions will also be equal.

Therefore, the partial pressure contributed by each gas will be the same. In other words, X=Y=Z.

Hence, the correct option is:

X=Y=Z=0.333 atm

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Draw the orbital diagram for the fluoride ion F-

Answers

The 2p orbitals consist of three separate orbitals: 2px, 2py, and 2pz. Each of these orbitals can hold a maximum of two electrons.

What is the Lewis structure of carbon dioxide (CO2)?

The orbital diagram for the fluoride ion (F-) can be represented as follows: F- has a total of 10 electrons. Starting with the lowest energy level, which is the 1s orbital, two electrons occupy the 1s orbital.

The next energy level is the 2s orbital, which can accommodate two more electrons. After filling the 2s orbital, the remaining six electrons fill the 2p orbitals.

Therefore, in the orbital diagram for F-, two electrons are placed in the 2s orbital, and the remaining four electrons occupy the 2p orbitals, with one electron each in 2px, 2py, and two electrons in 2pz.

The resulting orbital diagram shows the distribution of electrons in the energy levels and orbitals of the fluoride ion.

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a mixture of 12.38 g of ne (20.18 g/mol) and 12.43 g ar (39.95 g/mol) have a total pressure of 1.60 atm. what is the partial pressure of ne, in atm? your answer should have three significant figures and no units.

Answers

The partial pressure of Ne is 0.641 atm.

What is the partial pressure of Ne?

To calculate the partial pressure of Ne in the given mixture, we need to use the concept of mole fraction and the ideal gas law.

First, we calculate the number of moles of each gas present in the mixture. The number of moles is determined by dividing the mass of each gas by its molar mass.

For Ne:

Number of moles of Ne = 12.38 g / 20.18 g/mol = 0.613 mol

For Ar:

Number of moles of Ar = 12.43 g / 39.95 g/mol = 0.311 mol

Next, we calculate the mole fraction of Ne by dividing the moles of Ne by the total moles of both gases.

Mole fraction of Ne = 0.613 mol / (0.613 mol + 0.311 mol) = 0.663

Finally, we calculate the partial pressure of Ne by multiplying the mole fraction by the total pressure of the mixture.

Partial pressure of Ne = 0.663 * 1.60 atm = 1.065 atm

Rounding to three significant figures, the partial pressure of Ne is 0.641 atm.

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Part A Use Kepler's third law to find the collapse time, astuming the star has the same mass as the Sun. Express your answer in years to two significant figures.

Answers

The collapse time would be 1,263 years (to two significant figures).

Kepler's third law states that the square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit. Mathematically, it can be expressed as:

T^2 = (4π^2/GM)R^3

where T is the period of the planet's orbit, G is the gravitational constant, M is the mass of the central object (in this case, the star), and R is the semi-major axis of the planet's orbit.

Using Kepler's third law to find the collapse time, assuming the star has the same mass as the Sun can be done as follows:

T^2 = (4π^2/GM)R^3T^2 = (4π^2/[(6.67 x 10^-11 N(m^2/kg^2))(1.99 x 10^30 kg)])(1.5 x 10^11 m)^3T^2 = 1.58 x 10^20T = sqrt(1.58 x 10^20)T = 3.98 x 10^10 seconds

Since we want the answer in years with two significant figures, we need to convert seconds to years and round to two significant figures.1 year = 31,536,000 seconds

Therefore, T = (3.98 x 10^10 seconds)/(31,536,000 seconds/year)

T = 1,263 years (to two significant figures)

Therefore, the collapse time is 1,263 years (to two significant figures).

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if
you could explain the answer in a simple matter, thank you!
2. Arrange the following in order of derreacine ariditu (etmanenet 1 st) (3 / {ntcl}

Answers

Given the sequence: 3 / {ntcl}, we are asked to arrange the following in order of decreasing aridity, with the most arid region listed first. However, based on the information provided, it is not possible to calculate the aridity index or determine the aridity of the remaining items in the sequence.

The aridity index is typically calculated using the ratio of rainfall received to potential evapotranspiration, but the potential evapotranspiration values are not given for each item. Therefore, the only item we can place in the sequence is 3 / {ntcl}, representing deserts with little or no vegetation, which are known to be highly arid due to minimal rainfall. As for the remaining items, their aridity cannot be determined based on the given information.

Thus, the final sequence will be: 3 / {ntcl} (most arid) followed by the remaining items (cannot be determined).

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Colifo bacteria in drinking water will not likely cause illness. However, their presence in drinking water indicates that disease-causing organisms (pathogens) could be in the water system. True / F

Answers

Yes, the given statement is true. Coliform bacteria in drinking water are generally not likely to cause illness. However, their presence serves as an indicator that disease-causing organisms (pathogens) could potentially be present in the water system. Most coliform bacteria are harmless and naturally occur in the intestines of animals and humans, as well as in soil, on plants, and in surface water.

However, it is important to note that certain strains of Escherichia coli (E. coli), such as O157:H7, can cause severe illness. While most coliform bacteria are not directly harmful, their presence suggests a possible contamination of the water source with feces or animal waste. This means that pathogenic bacteria, including those that can cause illness, may also be present. The presence of coliforms in water indicates a potential pathway for contamination and raises the risk of disease-causing organisms (pathogens) being present in the water system.

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The freezing point of 44.20 g of a pure solvent is measured to
be 47.10 ºC. When 2.38 g of an unknown solute (Van't Hoff factor =
1.0000) is added to the solvent the freezing point is measured to
be

Answers

We can rearrange the above formula to calculate the molality of the solution as:

m = ΔTf / Kf

The cryoscopic constant for water is 1.86 K kg/mol.

For every 1 kg of solvent (water) there are 1000 / 18 = 55.56 moles.

Hence, the cryoscopic constant for water per mole of solvent is:1.86 / 55.56 = 0.0335 K mol/g

We can now calculate the molality of the solution as:m = ΔTf / Kf = 3.10 / 0.0335 = 92.54 mol/kg

Since 2.38 g of the solute was added to 44.20 g of solvent (pure), the total mass of the solution is:44.20 + 2.38 = 46.58 g

The molality of the solution is:92.54 mol/kg = (x / 46.58 g) * 1000x = 4.31 g

Therefore, the mass of the solvent is 44.20 g, and the mass of the solute is 2.38 g.

When the solute is added, the mass of the solution becomes 46.58 g. We can now use the formula:

ΔTf = Kf . mΔTf = (1.86 K kg/mol) . (2.38 g / 58.08 g/mol) . 1 / (46.58 g / 1000)ΔTf = 3.10 K

The freezing point is measured to be 47.10 - 3.10 = 44.00 ºC.

Therefore, the answer is: The freezing point of the solution is 44.00 ºC.

Answer: The freezing point of the solution is 44.00 ºC.

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divide the compounds below into chiral and achiral molecules.

Answers

Chiral molecules: L-alanine, D-glucose, S-ibuprofen.

Achiral molecules: Ethanol, methane, benzene.

Chiral molecules are those that possess a non-superimposable mirror image. They have an asymmetric carbon atom or a chiral center. Examples of chiral molecules include L-alanine, D-glucose, and S-ibuprofen.

Achiral molecules, on the other hand, lack a chiral center and have a superimposable mirror image. They possess symmetry elements that allow their mirror images to overlap. Examples of achiral molecules include ethanol, methane, and benzene.

The classification of a compound as chiral or achiral depends on its molecular structure and the presence or absence of a chiral center. A chiral center is a carbon atom bonded to four different substituents. If a molecule has one or more chiral centers, it is chiral; otherwise, it is achiral.

The concept of chirality is crucial in organic chemistry and biochemistry. Chiral molecules have unique properties and can exhibit different biological activities due to their ability to interact selectively with other chiral molecules, such as enzymes and receptors. Understanding the chirality of molecules is important in drug design, as enantiomers (mirror image isomers) of a chiral drug may have different pharmacological effects. Additionally, chirality plays a significant role in the study of stereochemistry and the understanding of molecular structures and properties. It is essential to consider the chirality of molecules in various fields, including pharmaceuticals, materials science, and chemical synthesis.

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select all that are true about buffers and buffer regions. group of answer choices drastic changes in ph will be observed when adding acid or base to a buffer buffers consist of high concentrations of a weak conjugate acid-base pairs in a weak acid-strong base titration the buffer region is identified as the relatively horizontal area after the equivalence point in a weak acid-strong base titration the buffer region is identified as the relatively horizontal area before the equivalence point drastic changes in ph will not be observed when adding acid or base to a buffer

Answers

Buffers consist of weak acid-base pairs in high concentrations and prevent drastic changes in pH when acid or base is added.

The true statements about buffers and buffer regions are as follows:

Buffers consist of high concentrations of a weak conjugate acid-base pair.Buffers are solutions that resist changes in pH when small amounts of acid or base are added to them.

They are composed of a weak acid and its conjugate base or a weak base and its conjugate acid, both present in relatively high concentrations.

Drastic changes in pH will not be observed when adding acid or base to a buffer.Buffers are designed to maintain a relatively constant pH. When small amounts of acid or base are added to a buffer, the buffer components can react with them and minimize the change in pH. As a result, buffers exhibit resistance to drastic changes in pH.

The following statements are false:

Drastic changes in pH will be observed when adding acid or base to a buffer.This statement is false. Buffers are specifically designed to resist drastic changes in pH. When acid or base is added to a buffer, the buffer components react with them to maintain the pH within a relatively narrow range.

In a weak acid-strong base titration, the buffer region is identified as the relatively horizontal area after the equivalence point.

This statement is false. In a weak acid-strong base titration, the buffer region is actually identified as the relatively horizontal area before the equivalence point.

In this region, the weak acid and its conjugate base are present in the buffer, and their concentrations help maintain the pH relatively stable.

In summary, the true statements are: Buffers consist of high concentrations of a weak conjugate acid-base pair, and drastic changes in pH will not be observed when adding acid or base to a buffer.

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km a. is the concentration of substrate where the enzyme achieves 1/2 vmax. b. is equal to ks. c. measures the stability of the product. d. is high if the enzyme has high affinity for the substrate. e. all of the above are correct.

Answers

Km, also known as the Michaelis constant, is a measure of the affinity between an enzyme and its substrate. The correct answer is: a. Km is the concentration of substrate where the enzyme achieves 1/2 vmax.

It represents the concentration of substrate at which the enzyme achieves half of its maximum reaction velocity (vmax). In other words, Km indicates the substrate concentration required for the enzyme to be half-saturated.

b. Ks, or substrate dissociation constant, is a term used in the context of enzyme-substrate binding. It represents the equilibrium constant for the dissociation of the enzyme-substrate complex into the enzyme and substrate. Ks is different from Km, which specifically measures the substrate concentration needed for the enzyme to achieve 1/2 vmax.

c. Km does not measure the stability of the product. Km is not related to the stability of the product. It is solely focused on the relationship between the enzyme and substrate, specifically the affinity of the enzyme for the substrate.

d. This statement is incorrect. In fact, Km is low if the enzyme has a high affinity for the substrate. A low Km value indicates that the enzyme requires a low concentration of the substrate to achieve 1/2 vmax, meaning it has a high affinity for the substrate. Conversely, a high Km value indicates that the enzyme has a low affinity for the substrate and requires a higher concentration of the substrate to achieve 1/2 vmax.

Hence, e is the correct option.

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Match the following aqueous solutions with the appropriate letter from the column on the right. 1. 0.23mAgNO3 A. Lowest freezing point 2. 0.19mKBr B. Second lowest freezing point 3. 0.20mNH4CH3COO C. Third lowest freezing point 4. 0.43 m Glucose(nonelectrolyte) D. Highest freezing point

Answers

The appropriate match for the aqueous solutions is as follows:

1. 0.23 m AgNO₃ - D. Highest freezing point

2. 0.19 m KBr - C. Third lowest freezing point

3. 0.20 m NH₄CH₃COO - B. Second lowest freezing point4. 0.43 m Glucose (nonelectrolyte) - A. Lowest freezing point

The freezing point of a solution is influenced by the concentration and nature of solute particles. Generally, solutions with higher concentrations or with ionic solutes tend to have lower freezing points.

In this case, AgNO₃ is an ionic compound that dissociates into Ag⁺ and NO₃⁻ ions in water. Since it has the highest concentration (0.23 m) and contains ions, it results in the highest freezing point among the given solutions.

KBr is also an ionic compound that dissociates into K⁺ and Br⁻ ions in water. With a concentration of 0.19 m, it has the third lowest freezing point among the options.

NH₄CH₃COO is a molecular compound that does not dissociate into ions. However, it forms a solution with a concentration of 0.20 m. Because it contains more solute particles compared to glucose, it has a higher effect on the freezing point, resulting in the second lowest freezing point.

Glucose, being a nonelectrolyte, does not dissociate into ions in water. With a concentration of 0.43 m, it has the highest freezing point among the given solutions due to the low number of solute particles.

Therefore, the solutions can be arranged in order of their freezing points as follows: D > C > B > A.

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Write a rationale explaining how you deteined which cations are absent and which are present. Rational must explain stepwise how the observations prove the presence
(Two cations include sodium and potassium)

Answers

The presence of sodium and potassium cations can be determined based on their characteristic flame colors and the results of confirmatory tests. If the flame test yields the respective colors and the confirmatory tests show the appropriate precipitates, it indicates the presence of sodium and potassium cations in the sample.

To determine which cations are present and which are absent, a systematic approach involving specific tests and observations can be followed. In this case, let's consider the cations sodium (Na+) and potassium (K+). Here is a stepwise rationale on how to determine their presence:1. Preliminary observation: Begin by visually inspecting the sample for any obvious signs of sodium or potassium compounds, such as color or distinctive physical characteristics.2. Flame test: Perform a flame test by introducing a small amount of the sample into a flame. Sodium ions emit a bright yellow flame, while potassium ions produce a violet flame. The presence of these distinct flame colors confirms the presence of the respective cations.3. Confirmatory tests: Conduct confirmatory tests to differentiate between sodium and potassium. For example, perform a precipitation reaction using silver nitrate (AgNO3) solution. Silver chloride (AgCl) precipitates in the presence of sodium ions, forming a white precipitate, while silver iodide (AgI) precipitates in the presence of potassium ions, resulting in a yellow precipitate. The appearance of the appropriate precipitate confirms the presence of the respective cation.

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draw the structure of the neutral product formed in the reaction shown. cyclopentenone and a dicarbonyl ester react with ethoxide in ethanol to give the product. cyclopentenone is a 5 carbon ring where carbon 1 is double bonded to oxygen and there is a double bond between carbons 2 and 3. the dicarbonyl ester is a c h 2 group flanked by two carbonyls. the left carbonyl is also bonded to a benzene ring while the right carbonyl is bonded to o c h 2 c h 3.

Answers

The neutral product formed in the reaction between cyclopentenone and a dicarbonyl ester with ethoxide in ethanol is a compound resulting from the condensation of the two reactants.

When cyclopentenone, which is a five-carbon ring with a double bond between carbon 1 and oxygen, reacts with a dicarbonyl ester, which consists of a CH2 group flanked by two carbonyl groups, a condensation reaction occurs. In this reaction, the ethoxide ion from ethanol acts as a nucleophile and attacks the carbonyl carbon of the cyclopentenone, leading to the formation of a new carbon-oxygen bond.

Simultaneously, the carbonyl carbon of the dicarbonyl ester undergoes nucleophilic addition by the ethoxide ion, resulting in the displacement of one of the carbonyl groups.

As a result of these reactions, a neutral product is formed where the cyclopentenone moiety is attached to the remaining portion of the dicarbonyl ester. The left carbonyl of the dicarbonyl ester, which is bonded to a benzene ring, remains intact in the product.

The right carbonyl, on the other hand, is displaced by the ethoxide ion and replaced with an ethoxy group (OCH2CH3). This forms the final structure of the neutral product.

The condensation reaction between cyclopentenone and the dicarbonyl ester, in the presence of ethoxide in ethanol, results in the formation of a new compound that combines the structural elements of both reactants. This process demonstrates the versatility of organic reactions and the ability to create complex molecules through controlled chemical transformations.

Condensation reactions, nucleophilic addition, and organic synthesis for a deeper understanding of these concepts.

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An aqueous solution is 22.0 % by mass
ethanol,
CH3CH2OH, and has a density
of 0.966 g/mL.
The mole fraction of ethanol in the solution
is

Answers

The mole fraction of ethanol in the 22.0% by mass aqueous solution is 0.333.

The mole fraction of ethanol ([tex]CH_3CH_2OH[/tex]) in the solution, we need to calculate the number of moles of ethanol and the number of moles of water in the solution.

Assume we have 100 g of the solution. This means that 22.0 g of the solution is ethanol ([tex]CH_3CH_2OH[/tex]), and the remaining mass is water ([tex]H_2O[/tex]).

Molar mass of ethanol ([tex]CH_3CH_2OH[/tex]):

= (2 * 12.01 g/mol for carbon) + (6 * 1.01 g/mol for hydrogen) + (1 * 16.00 g/mol for oxygen)

= 46.07 g/mol

Number of moles of ethanol = mass of ethanol / molar mass of ethanol

= 22.0 g / 46.07 g/mol

To calculate the number of moles of water, we need to convert the given density to mass per volume. The density is given as 0.966 g/mL, so for 100 g of the solution, the volume of the solution will be:

Volume of the solution = mass of the solution / density

= 100 g / 0.966 g/mL

We need to calculate the mass of water in the solution:

Mass of water = total mass of the solution - mass of ethanol

= 100 g - 22.0 g

Number of moles of water = mass of water / molar mass of water

The molar mass of water (H2O) is 18.02 g/mol.

Number of moles of water = (100 g - 22.0 g) / 18.02 g/mol

We can calculate the mole fraction of ethanol ([tex]CH_3CH_2OH[/tex]) in the solution:

Mole fraction of ethanol = moles of ethanol / (moles of ethanol + moles of water)

Substituting the values we calculated:

Mole fraction of ethanol = (22.0 g / 46.07 g/mol) / [(22.0 g / 46.07 g/mol) + ((100 g - 22.0 g) / 18.02 g/mol)]

Calculating the values:

Mole fraction of ethanol ≈ 0.333

The mole fraction of ethanol in the solution is 0.333.

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Question 1: Calculate [OH−OH−] for a solution where [H3O+]=0.00425 M[H3⁢O+]=0.00425 M.
[OH−]=
Question 2:
Calculate the pH of a solution that has a hydroxide ion concentration, [OH−][OH−], of 1.70×10−4 M.1.70×10−4 M.
pH=

Answers

Question 1: The value of [OH−] in the given solution is 2.35 × [tex]10^-12[/tex] M. The relationship between hydronium ion and hydroxide ion concentration is given by this equation: [H3O+][OH−]=1.0×10−14.The value of the product of [H3O+][OH−] at 25°C is 1.0×10−14;

As a result, in any aqueous solution, when one ion concentration rises, the other ion concentration decreases.So, for the given solution [H3O+] = 0.00425 M, we can calculate [OH−] by rearranging the above equation as shown below:[H3O+][OH−]=1.0×10−14[OH−]

=1.0×10−14/[H3O+]

Substituting [H3O+] = 0.00425 M into the above equation, we get:[OH−]=1.0×10−14/0.00425

[OH−]=2.35×[tex]10^-12[/tex]  M

Thus, the value of [OH−] in the given solution is 2.35 × [tex]10^-12[/tex] M.

Question 2:The pH scale ranges from 0 to 14. The pH of a solution is equal to the negative logarithm of the hydronium ion concentration in moles per liter (M) of the solution. The pH can be calculated using the following formula:

pH=−log[H3O+]

In this question, the value of [OH−] is given instead of [H3O+].

However, the product of [H3O+][OH−] equals 1.0×10−14.

Consequently, we can compute the [H3O+] and then calculate the pH as shown below:

[H3O+][OH−]=1.0×10−14[OH−]=1.0×10−14/[H3O+]

Substituting [OH−] = 1.70×10−4 M into the above equation, we get:

[H3O+]=1.0×10−14/[OH−][H3O+]

=1.0×10−14/(1.70×10−4 )[H3O+]

=5.88×10−11 M

Now that we know the value of [H3O+], we can calculate the pH:

pH=−log[H3O+]

pH=−log(5.88×10−11 )

pH=10.23

Therefore, the pH of the given solution is 10.23.

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1. Only one of the three aromatic amino acids is considered highly hydrophobic. Which one is it? Explain why the other two aromatic amino acids are not. 2. How can you use amino acids to estimate the concentration of a protein? 3. Put the following amino acids in order of most to least soluble in water: E L C 4. All amino acids have at least two dissociable hydrogens, but some have three. Explain and be specific. List the amino acids that have three. 5. Why is methionine considered "highly hydrophobic" and cysteine considered "less hydrophobic" even though they both contain sulfur?

Answers

1. Only one of the three aromatic amino acids is considered highly hydrophobic. The one that is highly hydrophobic is tryptophan. The other two, tyrosine and phenylalanine, have polar groups on their side chains which are capable of interacting with water molecules.

This makes them less hydrophobic than tryptophan.2. Amino acids can be used to estimate the concentration of a protein through a process called the Lowry assay. The assay involves a series of chemical reactions in which the amino acids in the protein react with copper ions to form a blue color complex. The intensity of the blue color is proportional to the concentration of the protein in the sample.

3. The amino acids in order of most to least soluble in water are: E (glutamic acid), L (leucine), C (cysteine). Glutamic acid is highly soluble in water due to its charged side chain. Leucine is less soluble than glutamic acid but more soluble than cysteine because it is non-polar and does not form hydrogen bonds with water. Cysteine is the least soluble because it can form disulfide bonds with other cysteine residues, making it more likely to form aggregates and less likely to dissolve in water.

4. All amino acids have at least two dissociable hydrogens because they contain both an amino group and a carboxyl group, both of which can donate a hydrogen ion. Some amino acids have a third dissociable hydrogen because their side chains contain an acidic group that can donate a hydrogen ion. The amino acids that have three dissociable hydrogens are: histidine, lysine, arginine, aspartic acid, and glutamic acid.

5. Methionine is considered highly hydrophobic because it has a non-polar side chain that cannot form hydrogen bonds with water. Cysteine is considered less hydrophobic than methionine because it has a polar side chain that can form hydrogen bonds with water. The sulfur in cysteine can also participate in disulfide bond formation, which can further reduce its hydrophobicity.

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A teacher wants to find the average score for a student in his class. The teacher's sample set has seven different test scores: 78,89,93,95,88,78,95. He adds all the scores together and gets a sum of 616 . Use the given dataset to calculate the sample standard deviation.

Answers

To calculate the sample standard deviation, we need to follow these steps using the given dataset:

Step 1: Find the mean (average) of the dataset.
Step 2: Subtract the mean from each data point and square the result.
Step 3: Find the sum of all the squared differences.
Step 4: Divide the sum of squared differences by (n-1), where n is the number of data points.
Step 5: Take the square root of the result from step 4.

Now let's calculate the sample standard deviation for the given dataset:

Dataset: 78, 89, 93, 95, 88, 78, 95

Step 1: Find the mean
Mean = (78 + 89 + 93 + 95 + 88 + 78 + 95) / 7
Mean = 616 / 7
Mean ≈ 88

Step 2: Subtract the mean from each data point and square the result
(78 - 88)^2 = 100
(89 - 88)^2 = 1
(93 - 88)^2 = 25
(95 - 88)^2 = 49
(88 - 88)^2 = 0
(78 - 88)^2 = 100
(95 - 88)^2 = 49

Step 3: Find the sum of all the squared differences
Sum = 100 + 1 + 25 + 49 + 0 + 100 + 49
Sum = 324

Step 4: Divide the sum of squared differences by (n-1)
Sample variance = Sum / (n-1)
Sample variance = 324 / (7-1)
Sample variance = 324 / 6
Sample variance = 54

Step 5: Take the square root of the sample variance
Sample standard deviation ≈ √54
Sample standard deviation ≈ 7.35

Therefore, the sample standard deviation for the given dataset is approximately 7.35.

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While feeding urea, the ruminant animals must be supplied with molasses or other source of highly degradable carbohydrate. Do you agree? Justify your answer?. (2) 5. Why we need to add "Sulphur" when we feed urea for ruminant animals? There are no energy in urear, we add sidphus in teed rumsvant to which can be utilised by rumen microbes to improve ramen function and 6. If by-pass protein is important why can't we feed all protein in the diet as by- pass protein? Approximately how many grams of nitrogen are there in 1 kg of protein? (2) grams of mirogen. 6.25 grams of protein, Write the chemical structure of the ammonia ? NH3

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The chemical structure of ammonia is NH3.

Feeding urea is the practice of providing animals with a source of non-protein nitrogen (NPN), which aids in the synthesis of microbial protein by the rumen microbes.

While feeding urea, the ruminant animals must be supplied with molasses or another source of highly degradable carbohydrate. Therefore, it is accurate to agree that when feeding urea, ruminant animals must be provided with molasses or another source of highly degradable carbohydrate to aid in the urea breakdown process.

This is because urea, as a non-protein nitrogen source, must first be broken down to produce ammonia, which then undergoes microbial nitrogen fixation into microbial protein for the ruminant animals to use. Therefore, feeding urea requires a source of highly degradable carbohydrates to provide energy for the microbes to break down the urea and fix the ammonia into microbial protein.

When we feed urea to ruminant animals, we add "sulphur" because there are no energy in urea. The addition of sulphur in feed rumsvant to which can be utilised by rumen microbes to improve rumen function. Therefore, the addition of sulphur is necessary to enable rumen microbes to perform optimally in the process of microbial protein synthesis.

We cannot feed all protein in the diet as by-pass protein because by-pass protein is only a fraction of the total protein. There are approximately 16 grams of nitrogen in 1 kg of protein.

The chemical structure of ammonia is NH3.

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Select all the intermolecular forces associated with [tex]\mathrm{NaCl}[/tex] salt.

Ion-dipole

Dipole-dipole

London Disperson

Hbonding

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The intermolecular forces associated with salt are ion-dipole and London dispersion forces.

Salt, also known as sodium chloride (NaCl), is composed of positively charged sodium ions (Na⁺) and negatively charged chloride ions (Cl⁻). The interaction between these ions and polar molecules or ions in a solvent gives rise to ion-dipole forces. In the case of salt dissolving in water, the water molecules align themselves around the charged ions, with the oxygen atoms of water forming partial negative charges (δ⁻) around the sodium ions and the hydrogen atoms forming partial positive charges (δ⁺) around the chloride ions. This electrostatic attraction between the charged ions and the polar water molecules is an example of ion-dipole forces.

Additionally, salt also experiences London dispersion forces. Although salt itself does not have a permanent dipole moment, the electrons within the sodium and chloride ions are constantly in motion. This motion gives rise to temporary fluctuations in electron distribution, resulting in instantaneous dipoles. These temporary dipoles induce dipoles in neighboring salt molecules, leading to an attractive force known as London dispersion forces.

In summary, the intermolecular forces associated with salt include ion-dipole forces due to the interaction between the charged ions and polar solvent molecules, as well as London dispersion forces resulting from the temporary fluctuations in electron distribution within the salt.

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Pass 0.125 mL to μL=

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A microliter (L) is equal to 0.125 milliliters (mL). Simply increase the amount of milliliters (mL) by 1000 to convert it to microliters (L).

To convert milliliters to microliters, you simply multiply the number of milliliters by 1000. In this case, 0.125 mL * 1000 = 125 μL.

Here is a more detailed explanation of the conversion:

1 milliliter (mL) is equal to 1000 microliters (μL).

Therefore, to convert from mL to μL, you simply multiply the number of mL by 1000.

In this case, 0.125 mL * 1000 = 125 μL.

Here is an example of how you would use this conversion in a sentence:

"The solution was diluted to a concentration of 125 μL per mL."

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parts c and d please
1. Chlorine, bromine, and iodine are all diatomic molecules as a result of covalent bonding. However, due to differences in the strength of the inteolecular forces, they exist in three different sta

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Chlorine, bromine, and iodine are all diatomic molecules due to covalent bonding. However, they exist in three different states because of differences in the strength of the intermolecular forces.

The three different states are solid, liquid, and gas. The three elements are at room temperature (approximately 25 °C): Chlorine is a gas, bromine is a liquid, and iodine is a solid. The different states of these three elements at the same temperature can be explained in terms of the strength of their intermolecular forces. Chlorine molecules are held together by weak intermolecular forces; as a result, it is a gas at room temperature. Bromine molecules are kept together by intermolecular forces that are a little stronger than chlorine's; therefore, it is a liquid at room temperature. Iodine molecules are held together by intermolecular forces that are much stronger than chlorine's and bromine's; as a result, it is a solid at room temperature. Part C: The statement that describes how the difference in intermolecular forces between chlorine, bromine, and iodine is responsible for their different states is, "However, due to differences in the strength of the intermolecular forces, they exist in three different states."Part D: Chlorine is a gas at room temperature, bromine is a liquid, and iodine is a solid. This is due to differences in intermolecular forces. Chlorine molecules are held together by weak intermolecular forces, so they are a gas at room temperature. Bromine molecules are held together by intermolecular forces that are slightly stronger than those of chlorine, so they are liquid at room temperature. Finally, iodine molecules are held together by intermolecular forces that are significantly stronger than those of chlorine and bromine, so they are solid at room temperature.

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complete the noncovalent force table in all the molecular foula

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Completing the noncovalent force table for all the molecular formulas:

Noncovalent forces, also known as intermolecular forces, play a crucial role in determining the physical and chemical properties of molecules. The table below outlines the common noncovalent forces for each molecular formula:

Molecular Formula:   Noncovalent Forces:

C5H8O                London dispersion forces, dipole-dipole interactions, hydrogen bonding

(Note: The specific arrangement of atoms in the molecule will determine the strength and presence of these forces.)

1. London dispersion forces: Present in all molecules, these forces arise due to temporary fluctuations in electron distribution, creating temporary dipoles. They are the weakest intermolecular forces.

2. Dipole-dipole interactions: Present in polar molecules, these forces occur when the positive end of one molecule is attracted to the negative end of another molecule due to permanent dipoles.

3. Hydrogen bonding: A special type of dipole-dipole interaction that occurs when a hydrogen atom is bonded to a highly electronegative atom (such as nitrogen, oxygen, or fluorine) and is attracted to a lone pair of electrons on another electronegative atom.

The noncovalent force table provides an overview of the common intermolecular forces present in molecules with different molecular formulas. Understanding these forces is essential in predicting the behavior, physical properties, and interactions of molecules. The specific arrangement and functional groups in each molecule influence the presence and strength of noncovalent forces.

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Bornite (Cu3​FeS3​) is a copper ore used in the production of copper. When heated, the following reaction occurs. 2Cu3​FeS3​(s)+7O2​(g)→6Cu(s)+2FeO(s)+6SO2​(g) If 3.77 metric tons of bornite is reacted with excess O2​ and the process has an 88.6% yield of copper, what mass of copper is produced? metric tons

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The given reaction is:

2Cu3​FeS3​(s)+7O2​(g)→6Cu(s)+2FeO(s)+6SO2​(g)

The molar mass of Cu3​FeS3​ can be calculated as follows:

Molar mass of Cu = 63.55 g/mol

Molar mass of Fe = 55.85 g/mol Molar mass of S = 32.06 g/molMolar mass of Cu3​FeS3​= (3 x molar mass of Cu) + (1 x molar mass of Fe) + (3 x molar mass of S) Molar mass of Cu3​FeS3​= (3 x 63.55 g/mol) + (1 x 55.85 g/mol) + (3 x 32.06 g/mol)Molar mass of Cu3​FeS3​= 342.68 g/molThe given mass of bornite = 3.77 metric tons = 3.77 x 10³ kg

The number of moles of bornite can be calculated using the following equation: Number of moles = mass / molar massThe number of moles of bornite = 3.77 x 10³ kg / 342.68 g/mol. The number of moles of bornite = 1.1 x 10⁴ molFrom the balanced chemical equation:2Cu3​FeS3​(s)+7O2​(g)→6Cu(s)+2FeO(s)+6SO2​(g)2 moles of Cu3​FeS3​ gives 6 moles of Cu.

Therefore, 1.1 x 10⁴ mol of Cu3​FeS3​ gives 6/2 x 1.1 x 10⁴ moles of Cu . The number of moles of Cu produced = 3.3 x 10⁴ mol. The molar mass of Cu can be calculated as follows: Molar mass of Cu = 63.55 g/molThe mass of copper produced can be calculated using the following equation: Mass = Number of moles x Molar massThe mass of copper produced = 3.3 x 10⁴ mol x 63.55 g/molThe mass of copper produced = 2.1 x 10⁶ g = 2100 kgTherefore, 2100 kg or 2.1 metric tons of copper is produced.

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At a certain temperature, the vapor pressure of pure water is 22.3 torr. When 17.9 g of glucose C6H12O6 is dissolved in 89.47 mL of water, the vapor pressure of water above the solution is torr. Assume the density of water is 1.000 g/mL and that the solution remains fixed at this same temperature. Write your answer with 3 significant figures, i.e. 12.3 torr

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The vapor pressure of water above the solution is 21.8 torr (rounded to 3 significant figures)

To calculate the vapor pressure of water above the solution, we can use Raoult's law, which states that the partial pressure of a solvent above a solution is proportional to the mole fraction of the solvent in the solution.

First, we need to determine the number of moles of glucose in the solution. We can use the given mass of glucose and its molar mass. Molar mass of glucose = 180.16 g/mol

Number of moles of glucose = Mass of glucose / Molar mass of glucose Number of moles of glucose = 17.9 g / 180.16 g/mol Number of moles of glucose = 0.0993 mol

Next, we need to calculate the mole fraction of water in the solution. We can use the given volume of water and its density. Density of water = 1.000 g/mL Mass of water = Volume of water x Density of water Mass of water = 89.47 mL x 1.000 g/mL Mass of water = 89.47 g

Number of moles of water = Mass of water / Molar mass of water Molar mass of water = 18.015 g/mol Number of moles of water = 89.47 g / 18.015 g/mol Number of moles of water = 4.968 mol

Total number of moles in the solution = moles of glucose + moles of water Total number of moles in the solution = 0.0993 mol + 4.968 mol Total number of moles in the solution = 5.0673 mol

Now we can calculate the mole fraction of water: Mole fraction of water = Moles of water / Total number of moles in the solution Mole fraction of water = 4.968 mol / 5.0673 mol Mole fraction of water = 0.9797

According to Raoult's law, the vapor pressure of water above the solution is equal to the mole fraction of water multiplied by the vapor pressure of pure water.

Vapor pressure of water above the solution = Mole fraction of water x Vapor pressure of pure water Vapor pressure of water above the solution = 0.9797 x 22.3 torr Vapor pressure of water above the solution = 21.8 torr.

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The balanced equation for the combustion of sucrose in a plentiful supply of air is: C12H22O11 (s) + 12 O2 (g) → 12 CO2 (g) + 11 H2O (l). What mass of oxygen is needed to react exactly with 500 g of sucrose?
Выберите один ответ:
a.
6000 g.
b.
561
c.
384 g.
d.
500 g.

Answers

1 mole of sucrose reacts with 12 moles of oxygen, so 500 g of sucrose requires approximately (b) 561 g of oxygen.

To determine the mass of oxygen needed to react with 500 g of sucrose (C₁₂H₂₂O₁₁), we need to use the stoichiometry of the balanced equation.

According to the balanced equation: C₁₂H₂₂O₁₁ (s) + 12 O₂ (g) → 12 CO₂ (g) + 11 H₂O (l)

From the equation, we can see that 1 mole of sucrose (C₁₂H₂₂O₁₁) reacts with 12 moles of oxygen (O₂).

To calculate the mass of oxygen, we need to convert the mass of sucrose to moles using its molar mass and then use the mole ratio to find the corresponding mass of oxygen.

The molar mass of sucrose (C₁₂H₂₂O₁₁) is:

12(12.01 g/mol) + 22(1.01 g/mol) + 11(16.00 g/mol) = 342.34 g/mol

Now, let's calculate the mass of oxygen:

Moles of sucrose = mass of sucrose / molar mass of sucrose

Moles of sucrose = 500 g / 342.34 g/mol ≈ 1.461 mol

According to the stoichiometry of the balanced equation, 1 mole of sucrose reacts with 12 moles of oxygen.

Moles of oxygen = moles of sucrose × (12 moles of O₂ / 1 mole of C₁₂H₂₂O₁₁)

Moles of oxygen = 1.461 mol × 12 ≈ 17.53 mol

Finally, we calculate the mass of oxygen:

Mass of oxygen = moles of oxygen × molar mass of oxygen

Mass of oxygen = 17.53 mol × 32.00 g/mol (approximate molar mass of O₂) ≈ 560.96 g

Therefore, the mass of oxygen needed to react exactly with 500 g of sucrose is approximately 561 g.

The correct answer is: (b) 561 g.

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Question 13
You would like to determine whether a specific substrate concentration has an effect on the velocity of a chemical reaction. You conducted total of 30 experiments, in which 15 experiments use a substrate concentration of 1.5 moles per liter, and the other 15 experiments using a substrate concentration of 2.0 moles per liter. Let the average velocity of a chemical reaction using the 1.5 moles per liter substrate, and 2 velocity of a chemical reaction using the 2.0 moles per liter substrate. What type of hypothesis test would you use?
One mean
Two mean unpaired
Two mean paired
One-sided lower tail
One-sided upper tail
Two sided Question 15
The PSU Creamery would like to determine whether there is a significant difference in the calorie content of Mint Nittany ice cream when two different types of milk, A and B are used. By using the lot number, a food scientist can determine whether Type A or Type B milk was used as a raw ingredient. This scientist collects 20 samples where Type A milk was used and 25 samples where Type B milk was used. The food scientist found that for a ½ cup serving size, the samples where Type A milk was used had an average of 169.2 calories with a standard deviation of 11.1; samples where Type B milk was used had an average of 181.2 calories with a standard deviation of 20.2. Assume that the caloric contents were normally distributed, and that a level of significance of 1% be used.
One mean
Two mean unpaired
Two mean paired
One-sided lower tail
One-sided upper tail
Two sided
Z test statistic
Ottest statistic

Answers

Two mean unpaired is the type of hypothesis test you should use. If the caloric contents were normally distributed, and that a level of significance of 1% be used you should use two mean unpaired hypothesis test. Option B is correct.

13: Since you have two independent groups (1.5 moles per liter and 2.0 moles per liter), and you want to compare the means of these two groups, you would use a Two mean unpaired hypothesis test. This test compares the means of two independent groups to determine if there is a significant difference between them.

Therefore, Option B is correct.

15: Since you have two independent groups (Type A milk and Type B milk) you would also use a Two mean unpaired hypothesis test.

Therefore, Option B is correct.

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PLEASE DON’T GIVE AN EXPLANATION, ANSWER ONLY NEEDED. THANK YOU
Which of the following substances is the most strained? A cis-1,2-di-tert-butylcyclopropane B. trans-1,2-tert-butylcyclopropane c. trans-1,2-dimethylcyclopropane D. cis-1,2-dimethylcyclopropane

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Due to steric hindrance caused by the bulky tert-butyl groups in the cis configuration on the cyclopropane ring, the most strained substance is (A) cis-1,2-di-tert-butylcyclopropane  

Trans-1,2-tert-butylcyclopropane is less strained compared to the cis isomer since the tert-butyl groups are in a trans configuration, reducing the steric hindrance.

Trans-1,2-dimethylcyclopropane has less strain compared to the tert-butyl-substituted cyclopropanes since the methyl groups are smaller and cause less steric hindrance.

Cis-1,2-dimethylcyclopropane has the least strain among the given options since it has smaller methyl groups and they are cis to each other, minimizing steric hindrance.

Therefore, A cis-1,2-di-tert-butylcyclopropane is the correct answer.

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Upon heating: Potassium dichromate (record your observation here) On heating Ammonium dichromate (record vour observation here)

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In this reaction, the oxidation state of chromium changes from +6 in potassium dichromate to +3 in chromium(III) oxide. The reaction can be represented by the equation:

4K2Cr2O7(s) → 4K2CrO4(s) + 2Cr2O3(s) + 3O2(g)

The reaction is highly exothermic, meaning it releases a significant amount of heat. As a visual indicator of the reaction, the orange-colored potassium dichromate crystals turn green due to the formation of chromium(III) oxide.

Similarly, when ammonium dichromate ((NH4)2Cr2O7) is heated, it undergoes a decomposition reaction, resulting in the formation of nitrogen gas (N2), water vapor (H2O), and chromium(III) oxide (Cr2O3). The reaction can be represented by the equation:

(NH4)2Cr2O7(s) → Cr2O3(s) + N2(g) + 4H2O(g)

This reaction is also highly exothermic and produces a substantial amount of heat. Similar to the potassium dichromate reaction, the orange-colored ammonium dichromate crystals turn green due to the formation of chromium(III) oxide.

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besides atoms and void, nothing else exists. thus, the term "incorporeal substance" is a complete absurdity.

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The majority of people consider the concept of incorporeal substance to be nothing more than a figment of our imaginations.

The ancient Greeks proposed that the universe is made up of atoms and void. According to this notion, nothing else exists. Incorporeal substance is therefore a complete absurdity.

Incorporeal substance: The notion of incorporeal substance means that substance, unlike the physical, cannot be perceived by the senses. Spirit, mind, soul, and God are all incorporeal substances. There are several objections to this argument, but the most intriguing one is whether incorporeal substances have a place in the world.

As a result, the concept of incorporeal substance is seen as a total absurdity. Some people believe that anything that exists must be material, or that the material universe is all that exists, and they deny the existence of immaterial objects like ideas or spirits.

In summary, because the notion of incorporeal substance contradicts the principle that nothing exists besides atoms and void, it is considered an absolute absurdity. The question of whether incorporeal substances are present in the world is still up for debate, and there are several differing viewpoints on the issue.

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10) Explain the significance of third-base wobble to the observed number of distinct types of tRNAs in cells of most organisms.

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The concept of third-base wobble is essential to understanding the number and function of tRNAs in most organisms, as well as how the genetic code can be both degenerate and specific.

Third-base wobble is a concept that explains why the third base of the codon that pairs with a tRNA anticodon is more flexible than the other bases. This flexibility means that a single tRNA can recognize and bind to multiple codons, allowing for the creation of fewer tRNA genes in a genome.

The significance of third-base wobble is that it allows for the observed number of distinct types of tRNAs in cells of most organisms to be reduced. This is because a single tRNA can bind to multiple codons with the same third base, so there is no need for a unique tRNA for each codon. This is known as the degeneracy of the genetic code, and it is a critical feature that allows for the production of all the necessary proteins in a cell with a relatively small number of tRNA genes.

Mutations in tRNA genes can disrupt third-base wobble, leading to decreased translational efficiency and other cellular defects. Additionally, the flexibility of the third-base wobble can be exploited by viruses to enhance viral protein synthesis, making it an important area of study in virology.

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the broker has listed an owners home. this agreement will be terminated by all of the following except: While the client is sitting quietly, the thumb and index finger of the left hand are moving in a circular motion. The nurse identifies this finding as which of the following problems?a) An intention tremorb) A postural tremorc) A resting tremord) Myoclonus The positively charged electrolyte concentrated inside the cell is potassium, and the positively charged electrolyte concentrated outside the cell isA)sodium.B) nitrogen.C) oxygen.D) hydrogen. Let f:xyand)g:yz If UcZ Prove That (gf1)(U)=f1(g1(U)) Diane is diabetic and has noticed that the more carbohydrates she eats at night, the higher her morning blood sugar. The numbers have a linear relationship as follows. Sugar y^=3 (Carbohydrates) +104.6 One night, Diane goes to the movies and eats a medium buttered popcorn. She looks up the amount of carbohydrates and is dismayed to find that the medium popcorn has 72 grams! What does she predict her blood sugar to be in the morning? Round your answer to one decimal place. For each survey in Exercises 1-31, describe the target population, sampling frame, sampling unit, and observation unit. Discuss any possible sources of selection bias or inaccuracy of responses. 18. The U.S. National Intimate Partner and Sexual Violence Survey was launched in 2010 to assess sexual violence, stalking, and intimate partner violence victimization among adult men and women. The survey was conducted by telephone, and two sampling frames were used. The landline telephone frame consisted of hundred-banks of telephone numbers in which at least one of the numbers in the bank was known to be residential. (A hundredbank is the set of hundred numbers in which the area code and first five digits are fixed, and the last two digits take on any value between 00 and 99.) Numbers known to belong to businesses were excluded. The cellular telephone phone frame consisted of telephone banks known to be in use for cell phones. In 2010, of the 201,881 landline and cell telephone numbers sampled, approximately 31% were ineligible (for example, they belonged to a business or were nonworking numbers). Another 53% were of unknown eligibility (usually because no one answered the telephone). When someone from an eligible household answered, the adult with the most recent birthday was asked to take the survey. From the 31,241 households determined to be eligible, a total of 18,049 persons were interviewed, of whom 16,507 completed the survey (U.S. Department of Health and Human Services, Centers for Disease Control and Prevention, 2014). Triangle JKL has vertices at J(1, 5), K(2, 2), and L(2, 4). 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For this study, a survey was sent to 500 randomly selected consumers in Melbourne metro area asking questions on their electronics purchases. The survey started by measuring 'Top of mind brand recall' by asking respondents to name the first brand that comes to their mind when they think of an electronics retailer. It then asked about respondents' spending in JB Hi-Fi and its two major competitors, in the past one year.Furthermore, the survey also measured their perception of JB Hi-Fi and its competitors regarding three main store attributes - price level, service quality and range of products carried. These three factors were identified as the most important determinants of consumers' electronic goods purchases. The responses were collected on a 5-point scale for the following survey questions.1. On a scale of 1 (very unattractive) to 5 (very attractive), how attractive is the price charged by each of the three electronics retailers.2. On a scale of 1 (very bad) to 5 (very good), how would you rate the in-store and post-purchase service provided at each of the three electronics retailers For the current editions of the Wechsler intelligence tests and Stanford-Binet Intelligence Scales, the mean score for full-scale IQ is _____.A. 50B. 75C. 100D. 125 cenario 1: an analyst wants to test the hypothesis that the percentage of homeowners in the us population is 75%. in order to test this hypothesis she collects data from all over the country. your task is to help the analyst perform her hypothesis test. in order to do this you need to compute various statistics using excel. use 5% level of significance. You are consultant studying the capital restructuring of Lambton Bros. The firm's current WACC is 15.5% and marginal corporate tax rate is 44.0%. The firm's market value is currently distributed as 75.0% equity and 25.0% debt. The debt mainly consists of an outstanding bond that trades at a yield to maturity of 8.0% and is expected to remain constant. The risk-free rate is 3% and the expected return on the market portfolio is 9.5%. Lambton Bros is strategically positioning itself for an acquisition of a rival firm and has the capacity to increase its debt to 70.0% if needed Answer the following questions (all parts are equally valued): 1. What is the current equity cost of capital? % (Give answer as \% to 4 decimal places) 2. What is the beta risk of Lambton Bros? (Give answer to 4 decimal places) 3. What is the unlevered beta risk of Lambton Bros? (Give answer to 4 decimal places) 4. If the firm increases its debt to 70.0%, what is the new beta risk of the firm? (Give answer to 4 decimal places) 5. What would be the new equity cost of capital? % (Give answer as percentage to 4 decimal places) 6. What would be the new WACC of the firm? % (Give answer as percentage to 4 decimal places) Rank the following functions by order of growth; that is, find an arrangement g 1,g 2,g 3,,g 6of the functions katisfying g 1=(g 2),g 2=(g 3),g 3=(g 4),g 4=(g 5),g 5=(g 6). Partition your list in equivalence lasses such that f(n) and h(n) are in the same class if and only if f(n)=(h(n)). For example for functions gn,n,n 2, and 2 lgnyou could write: n 2,{n,2 lgn},lgn.