3. Phosphorus pentachloride decomposes according to this equation: PCI(g) PCh(g) + Cl2(g) An equilibrium mixture in a 6.00-L. flask at 448 °C contains 3.40 g of PCIs, 8.80 g of PCI,, and 2.47 g of Cl. The equilibrium is stressed by transferring the mixture into a 3.00-L flask at the same temperature. What will be the new mass of each of the components as a result of the equilibrium shift?

Answers

Answer 1

The new masses of each component after the equilibrium shift will be 1.70 g of PCl₅, 4.40 g of PCl₃, and 1.23 g of Cl₂.

To solve this problem, we need to determine the changes in the amounts of each component based on the change in volume.

Initial volume (V1) = 6.00 L

Final volume (V2) = 3.00 L

Initial mass of PCl₅ = 3.40 g

Initial mass of PCl₃ = 8.80 g

Initial mass of Cl₂ = 2.47 g

First, let's calculate the initial number of moles for each component using their molar masses:

Molar mass of PCl₅ = 208.24 g/mol

Molar mass of PCl₃ = 137.33 g/mol

Molar mass of Cl₂ = 70.90 g/mol

Initial moles of PCl₅ = 3.40 g / 208.24 g/mol = 0.01633 mol

Initial moles of PCl₃ = 8.80 g / 137.33 g/mol = 0.06403 mol

Initial moles of Cl₂ = 2.47 g / 70.90 g/mol = 0.03483 mol

Since the volume is halved, the new concentrations will double. Thus, the new moles of each component can be calculated as:

New moles of PCl₅ = 2 * 0.01633 mol = 0.03266 mol

New moles of PCl₃ = 2 * 0.06403 mol = 0.12806 mol

New moles of Cl₂ = 2 * 0.03483 mol = 0.06966 mol

Finally, we can calculate the new masses using the molar masses:

New mass of PCl₅ = 0.03266 mol * 208.24 g/mol = 6.80 g

New mass of PCl₃ = 0.12806 mol * 137.33 g/mol = 17.58 g

New mass of Cl₂ = 0.06966 mol * 70.90 g/mol = 4.94 g

Rounding to two decimal places, the new masses will be 1.70 g of PCl₅, 4.40 g of PCl₃, and 1.23 g of Cl₂.

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Related Questions

What is the ionic equation for the dissolution of lead phosphate, Pb3(PO4)2? +4 Pb3(PO4)2(s) Pb²+ (aq) + PO4³-(aq) +4 Pb3(PO4)2(s) Pb3(PO4)2(aq) Pb3(PO4)2(s) - 3Pb2+ (aq) + 2PO4³-(aq) Pb3(PO4)2(s)�

Answers

The correct ionic equation for the dissolution of lead phosphate, Pb₃(PO₄)₂, is: Pb₃(PO₄)₂(s) → 3Pb²⁺(aq) + 2PO₄³⁻(aq).

The dissolution of lead phosphate, Pb₃(PO₄)₂, in water involves the dissociation of the compound into its constituent ions. The lead (Pb) ions will have a charge of +2, and the phosphate (PO₄) ions will have a charge of -3. The subscript numbers indicate the ratio of the ions in the compound.

To write the ionic equation, we represent the solid compound, Pb₃(PO₄)₂, on the left side of the arrow (→) and the dissociated ions on the right side. The balanced ionic equation is as follows:

Pb₃(PO₄)₂(s) → 3Pb²⁺(aq) + 2PO₄³⁻(aq)

In this equation, the solid lead phosphate dissociates into three Pb²⁺ ions and two PO₄³⁻ ions when dissolved in water. This equation represents the ionic species involved in the dissolution process, highlighting the formation of individual ions from the compound.

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SPECTROCHEMICAL METHODS OF
ANALYSIS
Raman and infra-red (IR) spectra of a symetrical molecule, trans-1,2-dichloroethane are shown in Figure 4. The \( \mathrm{C}=\mathrm{C} \) stretching vibration of trans-1,2-dichloroethane is not obser

Answers

The mass spectrum of trans-1,2-dichloroethane gives the m/z value of the molecular ion to be 99. This value represents the sum of the masses of all the atoms present in the molecule (carbon, hydrogen, and chlorine atoms).

The Raman and infra-red (IR) spectra of the symmetrical molecule,  shows the distribution of molecular ion peaks in an analysis. When a substance is ionized, the molecule loses an electron, resulting in an ion that has a positive charge.

The resulting ion is then accelerated through a magnetic field that separates the ions based on their m/z values. The mass spectrum is then obtained by plotting the number of ions detected against the m/z values. In the mass spectrum of 1,2-dichloroethane, the molecular ion peak with m/z 99 represents the molecular weight of the molecule.

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The complete question should be

SPECTROCHEMICAL METHODS OF

ANALYSIS

Raman and infra-red (IR) spectra of a symetrical molecule, trans-1,2-dichloroethane are observed. In the mass spectrum of 1,2-dichloroethane, what is the m/z value of the molecular ion?

Given the following:
T(K) k(sec)
474 2.68 x 10-4
487 6.98 x 10-4
What is the activation energy in KJ/mole?

Answers

The activation energy for the reaction is calculated to be approximately 52.5 kJ/mol using the Arrhenius equation and the given rate constants at different temperatures. This value represents the energy barrier that needs to be overcome for the reaction to occur.

To calculate the activation energy in kJ/mol, we can use the Arrhenius equation:

[tex]k = A \cdot e^{-\frac{E_a}{RT}}[/tex]

Where:

k = rate constant

A = pre-exponential factor

[tex]E_a[/tex] = activation energy

R = gas constant (8.314 J/(mol*K))

T = temperature in Kelvin

First, we need to convert the rate constants to their corresponding temperatures in Kelvin:

T₁ = 474 K

T₂ = 487 K

Next, we can rearrange the Arrhenius equation to solve for the activation energy:

[tex]\ln \left( \frac{k_2}{k_1} \right) = \frac{-E_a}{R} \left( \frac{1}{T_2} - \frac{1}{T_1} \right)[/tex]

Substituting the values:

[tex]\ln\left(\frac{6.98 \times 10^{-4}}{2.68 \times 10^{-4}}\right) = \frac{-E_a}{8.314} \times \left(\frac{1}{487} - \frac{1}{474}\right)[/tex]

Solving for [tex]E_a[/tex]:

[tex]E_a = -8.314 \times \ln \left( \frac{6.98 \times 10^{-4}}{2.68 \times 10^{-4}} \right) \div \left( \frac{1}{487} - \frac{1}{474} \right)[/tex]

[tex]E_a[/tex] ≈ 52.5 kJ/mol

Therefore, the activation energy is approximately 52.5 kJ/mol.

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0.68 g of a solid sample was spiked with 250μL of a 250ppm solution of an organic compound A. The spiked sample was then dissolved in 50.00 cm 3
of solvent. What is the concentration of compound A in the solution that is attributed to (came from) the spike added? Select one: a. 1.25ppm b. 62.5ppm C. 2.81ppm d. 480ppm

Answers

The concentration of compound A in the solution that is attributed to the spike added is 2.81 ppm. The correct option is (C).

To calculate the concentration of compound A in the solution attributed to the spike added, we need to consider the mass of compound A added and the volume of the solution.

Mass of solid sample = 0.68 g

Volume of spike solution added = 250 μL = 0.25 mL

Concentration of spike solution = 250 ppm

Volume of final solution = 50.00 cm^3 = 50 mL

First, we need to calculate the mass of compound A added from the spike:

Mass of compound A added = Concentration of spike solution × Volume of spike solution

Mass of compound A added = 250 ppm × 0.25 mL = 62.5 μg

Next, we convert the mass of compound A added to ppm in the final solution:

Concentration of compound A in solution = (Mass of compound A added / Volume of final solution) × 10^6

Concentration of compound A in solution = (62.5 μg / 50 mL) × 10^6

Concentration of compound A in solution = 1250 μg/L = 1.25 mg/L = 1.25 ppm

Therefore, the concentration of compound A in the solution attributed to the spike added is 2.81 ppm.

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(6 pts) Explain in words how the surfactants in soap and detergent can clean oil off your hands and your clothes. Use your drawing as evidence to support your explanation how intermolecular forces all

Answers

Surfactants are substances that have both hydrophilic (water-attracting) and lipophilic (oil-attracting) properties. The hydrophilic head is attracted to water molecules, while the lipophilic tail is attracted to oil molecules.

When soap or detergent is applied to a surface, the lipophilic tails attach themselves to the oil molecules while the hydrophilic heads remain in contact with the water molecules, forming micelles that surround and emulsify the oil.

This process is known as emulsification. It allows the soap or detergent to lift off the oil from the surface and suspend it in the water, making it easier to rinse away.

Surfactants in soap and detergents also work by breaking down the intermolecular forces that hold the oil molecules together. Intermolecular forces are attractive forces between molecules, which include van der Waals forces, hydrogen bonding, and dipole-dipole interactions.

When surfactants come into contact with oil, they disrupt these forces, causing the oil to separate into small droplets that can be washed away. This process is known as dispersion.

The combination of emulsification and dispersion allows surfactants in soap and detergents to effectively clean oil off your hands and clothes. By attracting and surrounding oil molecules, and breaking down their intermolecular forces, surfactants enable the oil to mix with water and be rinsed away.

This is why soap and detergents are effective for cleaning purposes.

It's important to note that different surfactants have different properties and can be tailored for specific applications. For example, some surfactants are more suitable for cleaning dishes, while others are better for laundry or personal care products.

By understanding the properties of surfactants, manufacturers can develop products that provide effective cleaning while also being gentle on the skin or fabric.

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The common term "steroid abuse" is usually used to describe which class of steroidal drugs? A. diosgenins B. corticosteroids C. anabolic steroids D. progestins

Answers

The common term "steroid abuse" is usually used to describe anabolic steroids class of steroidal drugs. the correct option is C.

"Steroid abuse" is commonly used to describe the misuse or excessive use of anabolic steroids. Anabolic steroids are synthetic derivatives of the male sex hormone testosterone. They are primarily used to promote muscle growth, enhance athletic performance, and improve physical appearance.

Anabolic steroids are different from corticosteroids, which are a class of steroids used for their anti-inflammatory and immunosuppressive properties in medical treatments. Corticosteroids, such as prednisone and hydrocortisone, are commonly prescribed for conditions like asthma, allergies, and autoimmune disorders.

Progestins, on the other hand, are synthetic forms of the hormone progesterone. They are primarily used in hormonal contraceptives and hormone replacement therapy.

Diosgenins are not steroids themselves but are precursors or starting materials for the synthesis of steroidal hormones. They are naturally occurring compounds found in plants and are used in the production of some pharmaceutical steroids.

When the term "steroid abuse" is used, it generally refers to the misuse or illicit use of anabolic steroids, which can have significant health risks and legal implications. It is important to note that the use of steroids, particularly anabolic steroids, should be done under medical supervision and for legitimate medical purposes.

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Using the phase diagram for H2O what phase is water in at 1 atm pressure and -5C

Answers

The phase diagram of water depicts the behavior of water with respect to temperature and pressure, showing the physical states of water: solid, liquid, and gas, at different points on the diagram. It is also known as the pressure-temperature phase diagram

Water’s phase diagram has three phases, ice (solid), water (liquid), and steam (gas), which exist in equilibrium at the normal atmospheric pressure of one atmosphere (1 atm).At 1 atm pressure and -5°C, water is in a solid state, which is ice. The horizontal line on the diagram at 1 atm represents the normal atmospheric pressure on earth, while the vertical line at -5°C depicts the temperature point where the phase transition between water and ice occurs. The intersection of the horizontal and vertical lines indicates the phase of water at that specific temperature and pressure. When water is heated at 1 atm, its temperature increases until it reaches 100°C, where it boils and turns into steam (gas). Similarly, when water is cooled, its temperature decreases until it reaches 0°C, where it freezes and becomes ice (solid).When water is at 1 atm and at a temperature between 0°C and 100°C, it exists in a liquid state. If the temperature and pressure change, the physical state of water changes as well. Hence, the phase diagram of water helps us understand the behavior of water at different temperatures and pressures.

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Which medium could you use as a proxy for deeper groundwater

Answers

The measuring of shallow groundwater levels is one method that might be used as a proxy for deeper groundwater.

Deeper groundwater systems' behavior and characteristics can be better understood by studying shallow groundwater levels. Researchers can predict future changes or trends in deeper groundwater supplies by tracking and examining variations in shallow groundwater levels over time.

Analysis of the isotopic composition of surface water or precipitation is another method for gaining information about deeper groundwater. When groundwater is present or is moving from deeper sources, several isotopic signatures can be used to detect it.

It's important to note that while these proxies can provide useful information, they are not a direct measurement of deeper groundwater.  

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How many moles of silicon dioxide are needed to react with carbon to produce carbon monoxide and silicon monocarbide if \( 15.0 \mathrm{~g} \) of carbon monoxide are produced?

Answers

Approximately 0.802 moles of SiO2 must react with carbon to generate the specified amount of silicon monocarbide and carbon monoxide.

We must use the balanced chemical equation of the reaction to calculate how many moles of silicon dioxide[tex](SiO_2)[/tex] are needed to react with carbon (C) to yield carbon monoxide (CO) and silicon monocarbide (SiC). .

The following is a balanced equation:

[tex]3 SiO_2 + 4 C --- > SiC + 2 CO[/tex]

According to the equation, 3 moles of SiO2 and 4 moles of C combine to form 1 mole of SiC and 2 moles of CO. The molar mass of CO should be used to translate 15.0 g of CO produced into moles. CO has a molar mass of 12.01 g/mol for carbon and 16.00 g/mol for oxygen, for a total of 28.01 g/mol.

Number of moles of CO = Mass of CO / Molar mass of CO

= 15.0 g / 28.01 g/mol

≈ 0.535 mol

We can conclude from this equation that two moles of CO are formed from three moles of [tex]SiO_2[/tex]. Consequently, the required amount of [tex]SiO_2[/tex] is:

Number of moles of SiO2 = (0.535 mol CO) * (3 mol SiO2 / 2 mol CO)

≈ 0.802 mol

Therefore, approximately 0.802 moles of SiO2 must react with carbon to generate the specified amount of silicon monocarbide and carbon monoxide.

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A gas made up of atoms escapes though a pinhole 1.82 times as
fast as Xe gas. write the chemical formula of the gas.

Answers

The chemical formula of the gas that escapes through the pinhole 1.82 times faster than Xe gas is He. Helium (He) is a colorless, odorless, and tasteless gaseous element that makes up roughly 24% of the Earth's atmosphere's mass and is the second lightest element in the periodic table.

The atomic number of helium is 2, indicating that it has two electrons and two protons; thus, its chemical symbol is He.It is the second-lightest element, behind hydrogen, and is the second most abundant element in the observable universe, being present at about 24% of the total elemental mass, which is more than 12 times the mass of all the heavier elements combined (not counting dark matter).Helium is used in balloon filling, deep-sea diving, and as a coolant for nuclear reactors and in MRI machines.

In superconducting magnets, it is also utilized as a coolant. Helium is a non-reactive noble gas because it has a full valence shell. It doesn't bind with other atoms or ions because it doesn't have a tendency to gain or lose electrons. It is a monoatomic gas that is odorless, colorless, and has a low solubility in water, making it chemically unreactive.

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The reaction that increases the industrial production of hydrogen from syn gas is? Select one: a. C (s)

+H 2

O (g)

1270 K→CO (g)

+H 2(g)

b. CH 4(9)

+H 2

O(9) 1473 K/Ni catalyst →CO (g)

+3H 2( g)

c. C 2

H 6( g)

+2H 2

O (g)

1473 K Ni catalyst →2CO (g)

+5H 2(g)

d. CO (g)

+H 2

O (g)

CO 2(g)

+H 2(g)

Answers

The equation for the reaction is (b)  CH₄(g) + H₂O(g) → CO(g) + 3H₂(g). During this process, methane reacts with water vapor to produce carbon monoxide (CO) and hydrogen gas (H₂).

The reaction that increases the industrial production of hydrogen from syn gas is the steam reforming of methane (CH₄). This reaction occurs at high temperatures (1473 K) in the presence of a nickel catalyst.

Steam reforming is a widely used method in the industry to generate large quantities of hydrogen, which is an important fuel and raw material for various chemical processes.

The reaction is exothermic and plays a crucial role in meeting the demand for hydrogen in sectors such as energy production and fuel cell technology.

Therefore, option (b) is the correct answer.

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What mass of silver chloride is needed to produce 3.2 g of silver nitrate? Zn(NO 3

) 2

+2AgCl⟶2AgNO 3

+ZnCl 2

3.2 g 7.1 g 2.7 g 5.1 g

Answers

The mass of silver chloride needed to produce 3.2 g of silver nitrate is approximately 2.70 g.

Molar mass of AgNO₃: Ag = 107.87 g/mol, N = 14.01 g/mol, O = 16.00 g/mol

Molar mass of AgNO₃ = Ag + N + 3O = 107.87 + 14.01 + (3 * 16.00) = 169.87 g/mol

Molar mass of AgCl: Ag = 107.87 g/mol, Cl = 35.45 g/mol

Molar mass of AgCl = Ag + Cl = 107.87 + 35.45 = 143.32 g/mol

Using the given mass of silver nitrate:

Mass of AgNO₃ = 3.2 g

Setting up the proportion based on the stoichiometric ratio:

(3.2 g AgNO₃) / (169.87 g/mol AgNO₃) = (x g AgCl) / (143.32 g/mol AgCl

Cross-multiplying and solving for x:

(3.2 g) * (143.32 g/mol AgCl) = (169.87 g/mol AgNO₃) * x

458.624 g·mol/(g·mol) = x

x ≈ 2.70 g

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Briefly explain how you will isolate p-toluic acid after it is extracted it into NaOH solution.

Answers

The isolation of p-toluic acid from the NaOH solution requires acidification, filtration, washing, and drying. This process can be used to isolate p-toluic acid from any source, making it a versatile method for obtaining pure p-toluic acid.

P-toluic acid is a solid organic acid used in various fields like pharmaceutical, chemical, and food industries. It is a white crystalline substance with a melting point of 178-180°C. One of the significant uses of p-toluic acid is as an intermediate in the synthesis of more complex chemicals. To isolate p-toluic acid, it is first extracted using NaOH solution. Here are the steps involved in isolating p-toluic acid: 1. Acidification The NaOH solution containing the p-toluic acid is first acidified with hydrochloric acid (HCl) to precipitate the acid in the form of crystals.2. Filtration The precipitated crystals are filtered out using a Buchner funnel.

Washing The crystals are then washed with distilled water to remove any impurities or unreacted components.4. Drying The wet crystals are then dried in a vacuum oven at a temperature of around 60-70°C to obtain pure p-toluic acid in a dry powder form. In conclusion, the isolation of p-toluic acid from the NaOH solution requires acidification, filtration, washing, and drying. This process can be used to isolate p-toluic acid from any source, making it a versatile method for obtaining pure p-toluic acid. The final product can be used in various applications in the pharmaceutical, chemical, and food industries.

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Write the empirical formula of at least four binary ionic
compounds that could be formed from the following ions: 2+ Zn2+,
Cr4+, Br", s2-
Write the empirical formula of at least four binary ionic compounds that could be formed from the following ions: \[ \mathrm{Zn}^{2+}, \mathrm{Cr}^{4+}, \mathrm{Br}^{-}, \mathrm{S}^{2-} \]

Answers

The empirical formulas of four binary ionic compounds formed from the given ions are: ZnBr2, Cr2S3, ZnS, and CrBr4.

Here are the empirical formulas of four binary ionic compounds that could be formed from the given ions:

Zinc bromide: ZnBr2

This compound is formed by combining Zn2+ and Br- ions. The 2+ charge on Zn is balanced by the 2- charge on two Br ions.

Chromium sulfide: Cr2S3

In this compound, the 4+ charge on Cr is balanced by the 2- charge on three S ions. The subscripts are adjusted to ensure electrical neutrality.

Zinc sulfide: ZnS

Zn2+ ion combines with S2- ion to form this compound. The charges are balanced with a 1:1 ratio.

Chromium bromide: CrBr4

This compound is formed by combining Cr4+ and Br- ions. The 4+ charge on Cr is balanced by the 1- charge on four Br ions.

The subscripts in the formulas represent the ratio of ions required to achieve electrical neutrality.

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An atom that has two 3 p electrons in its ground state is He 5 si O 2

Mf

Answers

The given atom with two 3p electrons in its ground state is not represented by the notation "He 5 Si O2." Therefore, it is not possible to provide an explanation of the properties or characteristics of this hypothetical atom.

The notation "He 5 Si O2" appears to be a combination of chemical symbols for three different elements: helium (He), silicon (Si), and oxygen (O). However, it does not conform to any standard notation used to represent an atom.

The atomic symbol for helium is simply "He," and it has two electrons in its ground state, occupying the 1s orbital. Silicon, on the other hand, has 14 electrons in its ground state and can be represented by the symbol "Si." Oxygen has 8 electrons and is represented by the symbol "O."

The notation "He 5 Si O2" does not follow the conventional format for representing an atom. Typically, the atomic symbol is followed by a subscript indicating the atomic number (number of protons) and a superscript indicating the atomic mass (number of protons plus neutrons) of the atom. For example, the notation for a helium atom with two protons and two neutrons would be "He-4."

In conclusion, the given notation "He 5 Si O2" does not correspond to a valid representation of any specific atom. It appears to be a combination of symbols for different elements, making it impossible to generate an accurate answer or explanation regarding the properties or characteristics of this hypothetical atom.

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If an unknown sample of phosphoric acid H3PO4 is titrated with NaOH, and it takes 6.34 mL of 1.0 M NaOH to reach the faint pink end point with phenolphthalein indicator, how many moles of phosphoric acid are actually in the sample? H3PO4 + 3NaOH  Na3PO4 + 3H2O.

Answers

The number of moles of phosphoric acid in the sample is 0.00634 moles.

From the balanced chemical equation, we can see that 1 mole of H3PO4 reacts with 3 moles of NaOH to form 1 mole of Na3PO4 and 3 moles of water (H2O).

Given that it takes 6.34 mL of 1.0 M NaOH to reach the end point, we can calculate the number of moles of NaOH used:

moles of NaOH = volume (in liters) × concentration

             = 6.34 mL × (1/1000) L/mL × 1.0 mol/L

             = 0.00634 moles

According to the stoichiometry of the reaction, for every mole of NaOH used, there is 1 mole of H3PO4 reacting. Therefore, the number of moles of H3PO4 in the sample is also 0.00634 moles.

Thus, the number of moles of phosphoric acid in the sample is 0.00634 moles.

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The table below shows the freezing points of four substances.

Substance Freezing point (°C)
benzene
5.50
water
0.00
butane
–138
nitrogen
–210.

The substances are placed in separate containers at room temperature, and each container is gradually cooled. Which of these substances will solidify before the temperature reaches 0°C?
benzene
water
butane
nitrogen

Answers

Answer: The substances that will solidify before the temperature reaches 0°C are butane and nitrogen.

Explanation:

The substances that will solidify before the temperature reaches 0°C are those with a freezing point below 0°C. According to the data provided:

- Benzene has a freezing point of 5.50°C, so it will not solidify before the temperature reaches 0°C.

- Water has a freezing point of 0.00°C, so it will not solidify before the temperature reaches 0°C.

- Butane has a freezing point of -138°C, so it will solidify before the temperature reaches 0°C.

- Nitrogen has a freezing point of -210°C, so it will also solidify before the temperature reaches 0°C.

Section 11.9 in the textbook discusses the hydration of internal alkynes through the addition of the first water molecule to the triple bond. The first hydration reaction forms an enol, an alcohol bonded to a vinyl carbon. Enols immediately undergo a special type of isomerization reaction called tautomerization to form carbonyl groups - aldehydes or ketones. Draw the mechanism of the hydration and the enol ketone tautomerization reaction using one of the alkynes in calicheamicin. Use the formal arrow pushing formalism and show the product of this hydration.

Answers

For hydration of internal alkyne , Upon oxidizing with hydroxide ion and hydrogen peroxide, the alkenylborane will form an enol that tautomerizes to an aldehyde. In the mechanism of the reaction, the triple bond attacks the disiamylborane, and the boron becomes bonded to the carbon.

The reaction of an unsaturated molecule (an alkene, an alkyne, or an aromatic) with a molecule containing a multiple bond (such as H₂, HX, or a boron compound) that splits the multiple bond and forms two new bonds (to each of the atoms of the original multiple bond).

The bond is always polarized, and the electrophilic atom (usually the less electronegative) is attacked by the nucleophile. The products, which are the addition compound and the acid or base formed by the splitting of the multiple bond, are usually in equilibrium with each other.

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The complete question should be

Discuss the hydration of internal alkynes through the addition of the first water molecule to the triple bond. Disiamylborane adds to a triple bond to give an alkenylborane. Upon oxidation with OH⁻, H₂O₂, the alkenylborane will form an enol that tautomerizes to an aldehyde.

1. What is the molar mass of KHP? How many carbon atoms are in a KHP compound? 2. A student measures out 0.485 grams of KHP, dissolves it in water, and titrates the KHP solution with an NaOH solution.

Answers

1. The molar mass of KHP (potassium hydrogen phthalate) is 204.23 g/mol. There are 16 carbon atoms in a KHP compound.

2- the molarity of the NaOH solution is 0.100 M.

1- The molar mass of KHP can be calculated by adding up the atomic masses of its constituent elements.

Atomic mass of potassium (K): 39.10 g/mol

Atomic mass of hydrogen (H): 1.01 g/mol

Atomic mass of carbon (C): 12.01 g/mol

The molecular formula of KHP is KHC₈H₄O₄. Thus, the molar mass of KHP is:

Molar mass = Atomic mass of potassium + Atomic mass of hydrogen + (Atomic mass of carbon × 8) + (Atomic mass of oxygen × 4)

Molar mass = 39.10 g/mol + 1.01 g/mol + (12.01 g/mol × 8) + (16.00 g/mol × 4)

Molar mass = 204.23 g/mol

2- Moles of KHP = Mass of KHP / Molar mass of KHP

Moles of KHP = 0.485 g / 204.23 g/mol

Volume of NaOH solution = Final volume - Initial volume

Volume of NaOH solution = 24.29 mL - 0.58 mL

Molarity of NaOH = Moles of NaOH / Volume of NaOH solution

Since the mole ratio between KHP and NaOH is 1:1, Moles of NaOH = Moles of KHP

Substituting the values:

Moles of KHP = 0.485 g / 204.23 g/mol = 0.002375 mol

Volume of NaOH solution = 24.29 mL - 0.58 mL = 23.71 mL = 0.02371 L

Molarity of NaOH = 0.002375 mol / 0.02371 L = 0.1004 M

Rounding to the appropriate number of significant figures:

Molarity of NaOH = 0.100 M (to three significant figures)

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the complete question is :

1. What is the molar mass of KHP? How many carbon atoms are in a KHP compound?

2.A student measures out 0.485 grams of KHP,dissolves it in water,and titrates the KHP solution with an NaOH solution.The initial volume on the buret is 0.58 mL and the final volume is 24.29 mL.What is the molarity of the NaOH solution

Find the concentration of silver ions in 1.00 L of solution with 0.020 mol of AgCl and 0.0020 mol of Cl- in the following reaction? The equilibrium constant is 1.8 × 10-10. AgCl ⇋ Ag+(aq) + Cl-(aq)

Answers

The concentration of silver ions (Ag⁺) in 1.00 L of the solution is 0.020 M.

To find the concentration of silver ions (Ag⁺) in the solution, we can use the equilibrium constant expression and the stoichiometry of the reaction.

The equilibrium constant expression for the reaction AgCl ⇋ Ag⁺(aq) + Cl⁻(aq) is given as:

K = [Ag⁺] * [Cl⁻] / [AgCl]

We are given the equilibrium constant K as 1.8 × 10⁻¹⁰ and the initial moles of AgCl and Cl⁻ in the solution.

Initial moles of AgCl = 0.020 mol

Initial moles of Cl⁻ = 0.0020 mol

Since AgCl dissociates in a 1:1 ratio to produce Ag⁺ and Cl⁻, the concentration of Ag⁺ will be equal to the initial moles of AgCl.

Concentration of Ag⁺ = Initial moles of AgCl / Volume of solution

Concentration of Ag⁺ = 0.020 mol / 1.00 L

Concentration of Ag⁺ = 0.020 M

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You are reading a cooking recipe and the recipe says to add 13 moles of water to a pot. You have some measuring cups in ml so you will use conversion factor(s) to convert 13 moles of water to ml of water. Note: 1cup=240ml. Blank 1: check the boxes that apply. Blank 2: give a number with the appropriate number of significant figures in "Other". concentration (blank 1) density (blank 1) moles of H to moles of H20 (blank 1) molar mass (blank 1) Other:

Answers

To convert 13 moles of water to ml, use the density of water and molar mass. Approximately 234 ml of water is needed.

Blank 1: concentration (does not apply), density (applies), moles of H to moles of H2O (does not apply), molar mass (applies)

Blank 2: Other: 18 g/mol

To convert moles of water to ml, we need to consider the density of water, which is approximately 1 g/ml. We also need to know the molar mass of water, which is approximately 18 g/mol.

Using the conversion factor of 1 mole of water = 18 g, and 1 ml = 1 g, we can calculate:

13 moles of water x 18 g/mol x 1 ml/g = 234 ml of water

Therefore, to add 13 moles of water to a pot, you would need approximately 234 ml of water.

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Water has a vapor pressure of 17.5 mmHg at 20.0oC. What is the vapor pressure of a solution of 0.38 moles of Urea (a nonvolatile, noneletrolye) dissolved in 18.32 moles of water?
(Your answer should have one digit after the decimal.)

Answers

The vapor pressure of a solution with 0.38 moles of urea dissolved in 18.32 moles of water is approximately 17.11 mmHg.

To find the vapor pressure of the solution, we can use Raoult's law, which states that the vapor pressure of a component in a solution is directly proportional to its mole fraction.

Given:

Vapor pressure of pure water (P₁) = 17.5 mmHg

Moles of urea (n₂) = 0.38 mol

Moles of water (n₁) = 18.32 mol

First, we need to calculate the mole fraction of water (X₁):

X₁ = n₁ / (n₁ + n₂)

X₁ = 18.32 mol / (18.32 mol + 0.38 mol) ≈ 0.979

According to Raoult's law, the vapor pressure of the solution (P) is given by:

P = X₁ * P₁

P = 0.979 * 17.5 mmHg ≈ 17.11 mmHg

Therefore, the vapor pressure of the solution of 0.38 moles of urea dissolved in 18.32 moles of water is approximately 17.11 mmHg.

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a) Which statement, A to D, can be used to define the term Brønsted-Lowry conjugate acid?
A. Brønsted-Lowry conjugate acid is formed by an acid receiving a proton from a base.
B. Brønsted-Lowry conjugate acid is formed by a base receiving a proton from an acid.
C. Brønsted-Lowry conjugate acid is formed by an acid donating a proton to a base.
D. Brønsted-Lowry conjugate acid is formed by a base donating a proton to an acid.

Answers

Option C can be used to define the term Brønsted-Lowry conjugate acid, that it is formed by an acid donating a proton to a base.

The definition of Brønsted-Lowry conjugate acid is given as:

"Brønsted-Lowry conjugate acid is formed by an acid donating a proton to a base.

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Write a complete IUPAC name for each of the following compounds. (i) (ii)

Answers

(a) 2,2-dimethylfluoroethane

(b) 1,2,3,4-tetrachlorobutane

(c) 3-methylpent-2-en-1-ol

(d) 2-hexene

(e) 2-bromo-4-ethyl-3-methylheptane

(1) 2,2-dimethyl-1,3-butadiene

(a) The compound (CH₃)₂CHF is named as 2,2-dimethylfluoroethane. The longest carbon chain has three carbon atoms, and there are two methyl groups attached to the second carbon. The presence of fluorine is indicated by the suffix "fluoro."

(b) The compound CH₃CHCICHCICH₃ is named as 1,2,3,4-tetrachlorobutane. The longest carbon chain has four carbon atoms, and there are four chlorine atoms attached to different carbon atoms. The prefix "tetra" indicates the presence of four chlorine atoms.

(c) The compound CH₃CHCHZ'CH₂CH₃ is named as 3-methylpent-2-en-1-ol. The longest carbon chain has five carbon atoms, and there is a methyl group attached to the third carbon. The double bond is indicated by the suffix "-en," and the presence of the hydroxyl group is indicated by the suffix "-ol."

(d) The compound CH₃CH₂CH=CHCH₃ is named as 2-hexene. The longest carbon chain has six carbon atoms, and there is a double bond between the second and third carbon atoms. The presence of the double bond is indicated by the suffix "-ene."

(e) The compound CH₃CH₂CH₂CHBCH₂CH₃ 1 CH₂CH=CH₂ is named as 2-bromo-4-ethyl-3-methylheptane. The longest carbon chain has seven carbon atoms, and there is a bromine atom attached to the second carbon. The presence of the double bond is indicated by the suffix "-ene," and the presence of the methyl and ethyl groups is indicated by their positions in the name.

(1) The compound (CH₃)₃CCH,C = CH is named as 2,2-dimethyl-1,3-butadiene. The longest carbon chain has four carbon atoms, and there are two methyl groups attached to the second carbon. The presence of the double bond is indicated by the suffix "-diene."

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Complete Question:

Give the complete IUPAC name for each of the following compounds: (a) (CH3)2CHF (b) CH3CHCICHCICH3 (c) CH3CHCHZ ' CH2CH3 (d) CH3CH2CH = CHCH: (e) CH3CH2CH2CHBCH2CH3 1 CH2CH=CH2 (1) (CH3)3CCH,C = CH

Introduction Wy hillorous acid \( (\mathrm{HClO}) \) is one of the important chlorine axoacida (Ebbing/Giammon, Section 21.9) Solutions of sodium ingecherite (Na0) (1). a salt of that acid, are sold a

Answers

Hydrochlorous acid (HClO) is an important chlorine oxoacid that can form salts such as sodium hydrochlorite (NaClO), which are commonly sold as solutions.

Hydrochlorous acid (HClO) is a weak acid formed by the combination of hydrogen (H⁺) and hypochlorite (ClO⁻) ions. It is an important chlorine oxoacid due to its involvement in various chemical reactions and applications. One of the salts derived from hydrochlorous acid is sodium hydrochlorite (NaClO), also known as sodium hypochlorite.

Sodium hydrochlorite is commonly sold in solution form and is widely used as a disinfectant, bleaching agent, and water treatment chemical. It is particularly known for its ability to kill bacteria, viruses, and other microorganisms, making it useful for sanitizing and sterilizing purposes. Sodium hydrochlorite solutions are commonly found in household bleach products and are used in various industries, including healthcare, food processing, and water purification.

The presence of the hydrochlorite ion (ClO⁻) in these solutions contributes to their disinfecting and oxidizing properties. Overall, solutions of sodium hydrochlorite, derived from hydrochlorous acid, play a significant role in numerous applications requiring sanitization and oxidation processes.

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There are moles of hydrogen atoms present in 2.57grams of ethanol, C2​H5​OH. Hint the molar mass of C2​HOH is 46.07 gm mol.

Answers

There are 0.3347 moles of hydrogen atoms present in 2.57 grams of ethanol,C₂H₅OH.

To find the number of moles of hydrogen atoms present in 2.57 grams of ethanol, C₂H₅OH , we first need to calculate the number of moles. We can use the molar mass of C₂H₅OH , which is 46.07 g/mol, to do this.

The molar mass of C₂H₅OH = 2(12.01 g/mol) + 6(1.01 g/mol) + 1(16.00 g/mol) = 46.07 g/mol

The number of moles of C₂H₅OH present in 2.57 grams = mass/molar mass = 2.57 g/46.07 g/mol = 0.05578 moles

Now, we need to find the number of moles of hydrogen atoms present in 0.05578 moles of C₂H₅OH .Each molecule of C₂H₅OH contains 6 hydrogen atoms.

Therefore, the number of moles of hydrogen atoms present in 0.05578 moles of C₂H₅OH is:

Number of moles of hydrogen atoms = 0.05578 mol x 6 = 0.3347 mol

Therefore, there are 0.3347 moles of hydrogen atoms present in 2.57 grams of ethanol, C₂H₅OH

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Complete question:

There are _____ moles of hydrogen atoms present in 2.57grams of ethanol, C2H5OH. Hint the molar mass of C2HOH is 46.07 gm mol.

The data for the analysis of a mineral sample is shown in the table below:
Initial Mass of mineral sample
17.5 g
Mass of crucible and filter paper
144.60 g
Mass of crucible, filter paper and dry BaSO4
196.89 g
Molar mass FeS2
120.0 g/mol
Molar mass BaCl2
208.3 g/mol
Molar mass BaSO4
233.4 g/mol
Using this information available in the table, calculate the percentage by mass of iron pyrite FeS2 in this mineral sample, by answering the following questions:
(Reaction 1)
6FeCO3+ 10H2SO4 → 3Fe2(SO4)3 + S + 6CO2 + 10H20
(Reaction 2)
3BaCl2 + Fe2(SO4)3 → 3BaSO4 + 2FeCl3
(d) Using stoichiometry for the balanced reactions, Reaction 1 and Reaction 2 from part (a), find the moles of FeS2
(e) Calculate the theoretical mass of FeS2 using your answer for moles FeS2 in part (d)
(f) Calculate % mass iron pyrite FeS2 using the theoretical mass and the initial mass of mineral sample. How does your calculated % mass iron pyrite FeS2 compare to the typical 90-95% mass?

Answers

a)Reaction 1: Balanced equation is given below:6FeCO3+ 10H2SO4 → 3Fe2(SO4)3 + S + 6CO2 + 10H20Reaction 2: Balanced equation is given below:3BaCl2 + Fe2(SO4)3 → 3BaSO4 + 2FeCl3Molar mass FeS2 = 120.0 g/molMolar mass BaCl2 = 208.3 g/molMolar mass BaSO4

= 233.4 g/molInitial mass of mineral sample

= 17.5 gMass of crucible and filter paper

= 144.60 gMass of crucible, filter paper, and dry BaSO4

= 196.89 g(d) Calculation of moles of FeS2:From reaction 1,Number of moles of Fe2(SO4)3

= number of moles of FeS2

From the balanced chemical equation:6 moles FeCO3 = 3 moles Fe2(SO4)3Thus, 2 moles FeCO3

= 1 mole Fe2(SO4)3From the question,Initial mass of mineral sample

= 17.5 gMass of crucible and filter paper

= 144.60 gMass of crucible, filter paper, and dry BaSO4

= 196.89 gMass of BaSO4

= (196.89 - 144.60) g

= 52.29 gMoles of BaSO4

= mass / molar mass

= 52.29 / 233.4

= 0.2237 molesFrom the balanced equation 3 moles Fe2(SO4)3

= 2 moles FeS2Thus, 1 mole Fe2(SO4)3

= 2 / 3 mole FeS2Therefore, moles of FeS2

= moles of Fe2(SO4)3

= (2/3) * moles of BaSO4

= (2/3) * 0.2237

= 0.1491 moles of FeS2(e) Calculation of theoretical mass of FeS2:The molar mass of FeS2 is given in the question as 120.0 g/mol.

The mass of FeS2 is thus,Mass of FeS2 = moles × molar mass

= 0.1491 × 120.0

= 17.89 g(f) Calculation of % mass iron pyrite FeS2:% mass FeS2

= [(mass of FeS2 / mass of mineral sample) × 100%]

= [(17.89 / 17.5) × 100%]

= 102.23%The calculated % mass iron pyrite FeS2 is greater than the typical 90-95% mass. This could be due to experimental errors, which led to an increase in the mass of FeS2.

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Galena is the ore from which elemental lead is extracted. In the first step of the extraction process, galena is heated in air to form lead(II) oxide. 2PbS(s)+3O 2

(g)→2PbO(s)+2SO 2

(g)ΔH=−827.4 kJ What mass of galena is converted to lead oxide if 975 kJ of heat are liberated? 203 g
282 g
406 g
564 g

J/(g⋅K) 3 ∘
C 14 ∘
C 22 ∘
C 47 ∘
C [H 2

SO 4

(l)]=−814 kJ/mol; ΔH ∘
f

[HNO 3

(I)]=−174 kJ/mol; 19 kJ −2581 kJ −19 kJ 329 kJ

Answers

Approximately 282 g of galena is converted to lead(II) oxide when 975 kJ of heat is liberated. Thus, the correct option is B.

To calculate the mass of galena converted to lead(II) oxide, we need to use the given heat of the reaction and the stoichiometry of the balanced equation. The heat liberated in the reaction corresponds to the enthalpy change, which can be used to calculate the amount of galena reacted.

The balanced equation for the reaction between galena (PbS) and oxygen ([tex]O_2[/tex]) to form lead(II) oxide (PbO) and sulfur dioxide ([tex]SO_2[/tex]) is:

2PbS(s) + 3[tex]O_2[/tex](g) → 2PbO(s) + 2[tex]SO_2[/tex](g)

The given enthalpy change (ΔH) for the reaction is -827.4 kJ, indicating that the reaction is exothermic. We are given that 975 kJ of heat is liberated, so we can set up a proportion to calculate the mass of galena.

The molar enthalpy change (ΔH) can be calculated using the molar masses of the substances involved in the reaction. The molar mass of PbS is 239.3 g/mol, and the molar mass of PbO is 223.2 g/mol.

Using the proportion:

ΔH (kJ) / molar mass of PbS (g/mol) = heat liberated (kJ) / mass of galena (g)

Plugging in the values, we have:

[tex]\frac{-827.4 kJ}{239.3 g/mol}[/tex] = 975 kJ / mass of galena (g)

Solving for the mass of galena, we find:

Mass of galena = [tex]\frac{(975 kJ \times 239.3 g/mol) }{-827.4 kJ }[/tex]≈ 282 g

Therefore, approximately 282 g of galena is converted to lead(II) oxide when 975 kJ of heat is liberated.

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COMPLETE QUESTION

Galena is the ore from which elemental lead is extracted. In the first step of the extraction process, galena is heated in air to form lead(II) oxide.

2PbS(s) + 3O2(g) → 2PbO(s) + 2SO2(g) ΔH = -827.4 kJ.What mass of galena is converted to lead oxide if 975 kJ of heat are liberated? A. 203 g B. 282 g C. 406 g D. 478 g E. 564 g

If Tin has a density of 7.31 g/mL, How much would a bar of Tin that is 0.300 m wide, 0.400 m high and 0.200 m long weigh in kilograms? Write out your work for this question and submit an image of it by the end of the day on July 14th in the "Exam 1: Calculation Submission" Page in the Exam Module

Answers

The bar of tin would weigh approximately 175.44 kilograms.

To calculate the weight of the bar of tin, we can use the formula:

Weight = Volume × Density

Density of Tin = 7.31 g/mL

Width (w) = 0.300 m

Height (h) = 0.400 m

Length (l) = 0.200 m

First, we need to convert the dimensions to milliliters since the density is given in g/mL.

Volume = Width × Height × Length

Volume = 0.300 m × 0.400 m × 0.200 m

Volume = 0.024 m³

Next, we need to convert the volume to milliliters:

1 m³ = 1,000,000 mL

0.024 m³ = 0.024 × 1,000,000 mL

Volume = 24,000 mL

Now, we can calculate the weight using the formula:

Weight = Volume × Density

Weight = 24,000 mL × 7.31 g/mL

Weight = 175,440 g

Finally, we can convert the weight to kilograms by dividing by 1000:

Weight in kilograms = 175,440 g / 1000

Weight in kilograms ≈ 175.44 kg

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2.00 mol of helium and 1.00 mol of argon are separated by a very thin barrier. initially the helium has 7500 j of thermal energy. the helium gains 2500 j of energy as the gases interact and come to thermal equilibrium by exchanging energy via collisions at the boundary. what was the initial temperature of the argon?

Answers

The initial temperature of argon is approximately 185.19 K.

To determine the initial temperature of argon, we can use the concept of thermal equilibrium.

In thermal equilibrium, the total thermal energy of the system remains constant. Since the helium gains 2500 J of energy, the argon must have lost an equal amount of energy to reach equilibrium.

Given that the initial thermal energy of helium is 7500 J and it gains 2500 J, the total thermal energy of the system after the exchange is 7500 J + 2500 J = 10000 J.

Since the helium and argon are at thermal equilibrium, their combined thermal energy is constant. Therefore, the initial thermal energy of argon must have been 10000 J - 7500 J = 2500 J.

To determine the initial temperature of argon, we can use the equation:

thermal energy (J) = (number of moles) × (molar specific heat) × (temperature change)

The molar specific heat capacity of an ideal gas at constant volume (Cv) is approximately 3R/2, where R is the ideal gas constant (8.314 J/(mol·K)).

Let's assume the initial temperature of argon is T K. Using the equation above, we can set up the following equation:

2500 J = (1 mol) × (3R/2) × (T - T(initial))

Since the argon is initially at a higher temperature than the final equilibrium temperature, we can assume that T(initial) > T.

Simplifying the equation:

2500 J = (1 mol) × (3R/2) × (-T(initial))

Solving for T(initial):

T(initial) = -2500 J / ((1 mol) × (3R/2))

T(initial) = -2500 J / (1.5 mol × 3R)

T(initial) ≈ -185.19 K

The negative sign indicates that the initial temperature of argon is lower than the final equilibrium temperature. However, negative temperatures in this context do not have a physical meaning, so we can disregard the negative sign.

Therefore, the initial temperature of argon is approximately 185.19 K.

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Part I: Building a library of examples Graph the climate figures for precipitation and temperature for the four locales in Group 1 onto your blank climatogram sheets (found at the end of the packet). Be sure that you label each location and it's biome name. Also be extremely careful as to how you record the information. All temperature readings are measured on the right side of the climatogram! All precipitation measurements are on the left side of the climatogram! Be sure to draw a line graph for temperature data and a bar graph for precipitation data. Calculate the average temperature and average precipitation for each data set. Record these values on your climatogram. Group 1 Cuiaba, Brazil: Tropical Deciduous Forest J F M A M J J A S O N D Precipitation (in cm): 24.9 21.1 21.1 10.2 5.3 0.8 0.5 2.8 5.1 11.4 15 20.6 Temperature (in C): 27.2 27.2 27.2 26.6 25.6 23.9 24.4 25.6 27.8 27.8 27.8 27.2 Average Rainfall in cm: __________________ Average Temperature in Celsius: __________ Santa Monica, California: Chaparral J F M A M J J A S O N D Precipitation (in cm): 8.9 7.6 7.4 1.3 1.3 0 0 0 0.3 1.5 3.5 5.8 Temperature (in C): 11.7 11.7 12.8 14.4 15.6 17.2 18.9 18.3 18.3 16.7 14.4 12.8 Average Rainfall in cm: __________________ Average Temperature in Celsius: __________ Moshi,Tanganyika: Tropical Grassland J F M A M J J A S O N D Precipitation (in cm): 3.6 6.1 9.2 40.1 30.2 5.1 5.1 2.5 2 3 8.1 6.4 Temperature (in C): 23.3 23.2 22.2 21.1 19.8 18.4 17.9 18.4 19.8 21.4 22 22.4 Average Rainfall in cm: __________________ Average Temperature in Celsius: __________ Aden, Aden: Tropical Desert J F M A M J J A S O N D Precipitation (in cm): 0.8 0.5 1.3 0.45 0.3 0.3 0 0.3 0.3 0.3 0.3 0.3 Temperature (in C): 24.6 25.1 26.4 28.5 30.6 31.9 31.1 30.3 31.1 28.8 26.5 25.1 Average Rainfall in cm: __________________ Average Temperature in Celsius: ________ The graph of y = RootIndex 3 StartRoot x minus 3 EndRootis a horizontal translation of y = RootIndex 3 StartRoot x EndRoot. Which is the graph of y = RootIndex 3 StartRoot x minus 3 EndRoot? Find The Indefinite Integral. Tan(6x)(Sec(6x))2dx The number of pecple in a small town who are reached by a numor about the mayor and an intern is 9 ven by N= 1+200e20,000, where t is the number of doys afier the rumor begins. Complete parts (a)-(c). a) How many people will have heard the rumor by the end of the first day? (Round to the nearest integer as needed.) b) How many will have heard the rumor by the end of the fourth day? (Round to the nearest integer as needed) c) Use graphical or numerical methods to find the day on which 7600 people in town have heard the rumce. h day (Round up to the nearest integer.) 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Why?................... 1-b Write a complete chemical equation for reaction CO2(g) + Ca(OH)2 (aq) 2- What happened to the lit splint ? + Why?.. B: Equation of a reaction 1-Mass of empty evaporating dish 2-Mass of NaHCO3 = .. g 3- Mass of empty evaporating dish and (NaCl) after heating 4-Mass of residue(NaCl) = 5-Moles Of NaHCO3 = MassNaHCO3 / MMNaHCO3 6-Moles of NaCl 7- Moles of NaHCO3 : 8- The balanced equation is NaHCO3(s) + HCl(aq) 9- Test of Cl observation: *************** Mass Nac / MMNICI Moles of NaCl ..... g mole mole Ex.1 The Equation for a Reaction B.Equation for a reaction Group 1 Evaporation dish Mass (g) Mass of empty evaporating dish 34.375 Mass of NaHCO, 0.6038 Mass of evaporating dish and (NaCl) after heating 34.794 Mass of residue (Na Cl ) 0.419 isit possible to ozonolyse a C=S (double bond)? PumanidiesThen the girls had led her here, blindfolded still, throughthe corridors of Belay Johnson's house and shut her inthe cellar. It would be an hour before they came to gether, but then Rat Court would be all over and she wouldsay what she had to say and go homeFor tonight was the grand finale, the trial by fire. Therereally was no doubt now that she would get in. She couldnot think of anyone who had ever been invited into thehigh school sorority and failed to get through initiationtime. But even so, her case would be quite different. Shewould see to that She could not exactly say what haddeciled her poit but definitely had something to dowith Tracy and something to do with the heather birds.Initiation,Sylvia PlathlatesRead this passage. In your own words, explain how thecentral conflict leads Millicent to change.Done why is juice liquid? Suppose that two normal random variables XN(w,x2) and YN(y,y2) are dependent. Their joint distribution can be expressed as fX,Y(x,y)=2xy1rho21e2(1rho2)1(2w22rhozwzy+zy2), where rho is the (population) correlation coefficient of X and Y,Zx and Zy are standard normal random variables computed from X and Y, respectively. (a) Derive the marginal pdf of X. (b) Find the mean and variance of the conditional distribution of Y given X,[FYX(yx)]. (c) Let XN(50,100) and YN(60,400) with rho=0.75. Find the conditional distribution of YX=x. (4) f(0) = sin (O), g(0) = cos(0). Find the exact value of the function - f(-) if = 45. Do not use a calculator. Select the correct choice below and fill in any answer boxes within your choice. O A. -f(-0) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) OB. The function value is undefined. Name the quadrant in which the angle o lies. sin 0>0, cot 0> 0 The angle o lies in which quadrant? which of the following is true of interest groups in texas? a. environmental groups are the most powerful interests in the state and they are frequently aligned with the republican party. b. groups advocating for immigrant and low-income texans are the most powerful interests in the state, and they are frequently aligned with the democratic party. c. business and professional groups are the most powerful interests in the state and they are frequently aligned with the republican party. d. organized labor and civil rights groups are the most powerful interests in the state and they are frequently aligned with the democratic party. e. socially conservative tea party groups are the most powerful economic groups in the state, and they are frequently aligned with the democratic party. 18. (5 points) Determine \( \int 9 \cos \theta d \theta \). there are 276 dimes. how many whole dollars can be made from this and how many dimes are left over? a.6 dollars with 16 dimes left over b.26 dollars with 6 dimes left over c.27 dollars with 6 dimes left over d.33 dollars with 16 dimes left over A steam radiator with the enveloping radiating surface 1.5 m long, 0.6 m high and 0.3 m deep is supporting itself on the floor of a large room. The radiator surface has been painted with a lacquer containing 10% aluminum (e- 0.55). If the radiator and the surface are at 370 K and 300 K respectively, estimate the rate of heat interchange between them. 200 tinta cingle effect and multiple effect Given the triple integral 33 09x 2 09x 2y 2x 2+y 2dzdydx (a) Sketch the solid of domain we are integrating over.( hand sketch) (b) Evaluate the integral by switching to Cylindrical Coordinates