1. The formula for the conjugate acid of NO3- is _____

2. The formula for the conjugate base of NH4+ is _____

Answers

Answer 1

The formula for the conjugate acid of [tex]\rm NO_3^-[/tex] is [tex]\rm HNO_3[/tex] and the formula for the conjugate base of [tex]\rm NH_4^+[/tex] is [tex]\rm NH_3[/tex] respectively.

A conjugate acid contains one more H atom and one more + charge than the base that formed it. Conjugate acid is formed when an acid donates a proton to a base.

When a Brønsted-Lowry base accepts a proton, it becomes its conjugate acid. Similarly, when a Brønsted-Lowry acid donates a proton, it becomes its conjugate base.

1. The formula for the conjugate acid of [tex]\rm NO_3^-[/tex] is [tex]\rm HNO_3[/tex]. [tex]\rm NO_3^-[/tex]is a polyatomic anion that has a charge of -1. When it accepts a proton (H+), it forms [tex]\rm HNO_3[/tex], which is nitric acid.

2. The formula for the conjugate base of [tex]\rm NH_4^+[/tex] is [tex]\rm NH_3[/tex]. [tex]\rm NH_4^+[/tex] is a polyatomic cation that has a charge of +1. When it donates a proton (H+), it forms [tex]\rm NH_3[/tex], which is ammonia.

Therefore, conjugate acid of [tex]\rm NO_3^-[/tex] is [tex]\rm HNO_3[/tex] and conjugate base of [tex]\rm NH_4^+[/tex] is [tex]\rm NH_3[/tex] , respectively.

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Related Questions

convert 8.654 X 10^11 nm/sec to cm/hour

Answers

The given quantity is 8.654 × 10^11 nm/sec. Convert this quantity to cm/hour.

Here,8.654 × 10^11 nm/sec = 8.654 × 10^11 × (1/10^9) m/sec= 865.4 m/sec

Now, we have to convert this quantity into cm/hour.1 km = 1000 m and 1 hour = 3600 sec ⇒ 1 km/hour = 1000 m/3600 sec⇒ 1 km/hour = 5/18 m/sec.So,865.4 m/sec = (865.4 × 5/18) km/hour= (2403.889) km/hour= 2.403889 × 10^3 km/hour.

We have to convert km/hour to cm/hour as,1 km = 10^5 cm

Therefore,1 km/hour = (10^5) / 3600 cm/sec= (1000/36) cm/sec.So,2.403889 × 10^3 km/hour = (2.403889 × 10^3) × (1000/36) cm/hour= (66.77469444 × 10^3) cm/hour= 6.677 × 10^4 cm/hour.

Thus, 8.654 × 10^11 nm/sec is equivalent to 6.677 × 10^4 cm/hour.

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The Lewis structure for HN3 is given below. N=N=N-H The formal charge on the nitrogen atom second from left (marked with an a)is: O +1 +2 -1 -2

Answers

To determine the formal charge on the nitrogen atom marked with "a" in the Lewis structure of HN₃ (N=N=N-H), we need to compare the number of valence electrons on the atom with its assigned electrons in the structure.

In the Lewis structure given (N=N=N-H), the nitrogen atom marked with "a" is bonded to three other atoms (two nitrogen atoms and one hydrogen atom) and has one lone pair of electrons.

The nitrogen atom (N) has five valence electrons. In the structure, it is bonded to three atoms (two nitrogen and one hydrogen) and has one lone pair. Each bond contributes one electron, and the lone pair is assigned two electrons.

To calculate the formal charge, we use the formula:

Formal Charge = Valence Electrons - Assigned Electrons

For the nitrogen atom marked with "a":

Valence Electrons = 5

Assigned Electrons = 3 (from the bonds) + 2 (from the lone pair)

Assigned Electrons = 5

Formal Charge = 5 - 5 = 0

Therefore, the formal charge on the nitrogen atom marked with "a" is 0.

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Name the dependent and independent variables for each
procedure?
What must be included in the title of a graph?
What is a curve in graphs?

Answers

The dependent variable is the measured or observed variable, while the independent variable is the manipulated or controlled variable in scientific experiments.

In scientific experiments, the dependent variable is the variable being measured or observed, while the independent variable is the variable being manipulated or controlled.

For each procedure, the dependent and independent variables can vary depending on the specific experiment. Here are some examples:

Procedure 1

Dependent variable: Temperature

Independent variable: Time

Procedure 2

Dependent variable: Height

Independent variable: Amount of fertilizer

Procedure 3

Dependent variable: Reaction rate

Independent variable: Concentration of reactant

In the title of a graph, it is important to include the variables being plotted and the units of measurement.

This helps to clearly describe the content of the graph and provide information to the reader. For example, a title could be "Temperature (°C) vs. Time (min)" or "Height (cm) vs. Amount of Fertilizer (g)."

In graphs, a curve refers to the line or shape created when plotting data points on a graph. It represents the relationship or trend between the independent and dependent variables.

The curve can be smooth or jagged, depending on the nature of the data. The shape of the curve provides insights into the relationship between the variables and helps in analyzing the data.

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The boiling point of ethanol {CH}_{3} {CH}_{2} {OH} is 78.50^{\circ} {C} at 1 atmosphere. A nonvolatile, nonelectrolyte that dissolves in ethanol is saccharin.

Answers

Saccharin is a non-volatile and non-electrolyte substance. It is soluble in ethanol. The boiling point of ethanol is 78.50℃ at 1 atmosphere.

The dissolution of saccharin in ethanol does not affect the boiling point of the solution. The boiling point of ethanol is a physical property that refers to the temperature at which ethanol will change from a liquid to a gas phase. The boiling point of ethanol is 78.50℃ at 1 atmosphere pressure. This is an important factor to consider when using ethanol for various purposes, as it affects its performance and characteristics.

Saccharin, on the other hand, is a non-volatile and non-electrolyte substance. It is a synthetic compound that is widely used as an artificial sweetener in food and beverage products. When saccharin is dissolved in ethanol, it does not affect the boiling point of the solution because saccharin is non-volatile. Therefore, the boiling point of the solution remains at 78.50℃ at 1 atmosphere pressure.

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which molecule has a central atom that is sp3 hybridized? select the correct answer below: sf6 ch3cl alcl3 pcl5

Answers

The molecule that has a central atom that is sp3 hybridized is CH3Cl. To determine the hybridization of an atom, we need to count the number of electron groups around the central atom.

In this case, the central atom in CH3Cl is carbon (C). CH3Cl has four electron groups around the central carbon atom: three sigma bonds with hydrogen (C-H bonds) and one sigma bond with chlorine (C-Cl bond). Each sigma bond counts as one electron group.

The four electron groups indicate that the carbon atom is sp3 hybridized. In sp3 hybridization, the carbon atom forms four sigma bonds with four electron groups, resulting in a tetrahedral geometry. Therefore, the correct answer is CH3Cl.

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The rate of a chemical reaction increases if the frequency of molecular collisions within the system increases. a)TRUE b)FALSE

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The given statement that "The rate of a chemical reaction increases if the frequency of molecular collisions within the system increases" is TRUE.

The chemical reaction rate increases if the frequency of molecular collisions within the system increases. The collision theory helps to understand how different factors affect the reaction rate. This theory states that chemical reactions occur when molecules collide with each other.

The rate of a chemical reaction depends on the frequency of the collisions, the energy transferred during the collisions, and the orientation of the molecules during the collision.

Therefore, the rate of a chemical reaction increases if the frequency of molecular collisions within the system increases. So, the statement given in the question is true.

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Convert 67.8 cm to um. For all conversions, go through the process of starting place, ending place, and then convert. Move through these quickly. in order to have enough time for the entre wa up. 678,000 um 678um 0.00678um 0.0000067 um

Answers

1. 67.8 cm to um: The starting place is cm and the ending place is um. So, 67.8 cm in um is: $67.8\ cm\ = 67.8 \times 10^4\ um\ = 678,\!000\ um Therefore, 67.8 cm is equivalent to 678,000 um.

2. Converting between units: To convert between units, we need to use conversion factors. The conversion factor is the ratio of the two units that we are converting between. For example, to convert from cm to um, we can use the conversion factor:[tex]$$1\ cm = 10^4\ um$$[/tex]This means that 1 cm is equal to 10,000 um. We can use this conversion factor to convert any number of cm to um.3. The answer:

To convert 67.8 cm to um, we can use the conversion factor as follows[tex]:$$67.8\ cm \times \frac{10^4\ um}{1\ cm} = 67.8 \times 10^4\ um = 678,\!000\ um$$[/tex]Therefore, the answer is 678,000 um.

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Cyclohexane and toluene have boiling points of 80.8∘ C and 110.6∘C, respectively. If distilling a mixture of these two compounds, which will distill first? Toluene Cyclohexane Question 8 1 pts According to the SDS, which of the following is a possible hazard for isopropanol? Radioactive Flammable Corrosive Oxidizer What must be done when assembling the distillation apparatus to prevent the loss of vapor? Apply acetone to all of the joints. Rub all the joints with alcohol. Soak all the pieces of glassware in water for 45 minutes. Apply vacuum grease to all of the joints. Question 10 1 pts In a simple distillation setup, what is the sequence of equipment from the bench top to the round bottom flask? Heating mantle, stir plate, lab jack Lab jack, stir plate, heating mantle Heating mantle only Stir plate, lab jack, heating mantle

Answers

Cyclohexane and toluene have boiling points of 80.8∘C and 110.6∘C, respectively. While distilling a mixture of these two compounds, the first to distill will be cyclohexane. This is because cyclohexane has a lower boiling point than toluene and hence it will be the first one to evaporate.

The boiling point of any substance is related to the strength of the attractive forces between the molecules of that substance. The stronger the intermolecular forces, the higher will be the boiling point and vice versa.

The boiling point of toluene is higher than that of cyclohexane because toluene has stronger attractive forces due to the presence of the -CH3 group which induces dipole-dipole interactions and hence stronger intermolecular forces.

According to the SDS, flammable is a possible hazard for isopropanol. Isopropanol (isopropyl alcohol) is a clear, colorless, and volatile liquid that is flammable and highly flammable. It is widely used in industry and medicine as a solvent, disinfectant, and antifreeze.

When assembling the distillation apparatus, vacuum grease must be applied to all of the joints. The main reason for applying vacuum grease is to provide a tight seal around the joints of the apparatus and to prevent the loss of vapor.

It is important to prevent the loss of vapor because it can lead to the loss of the desired product and can also be a safety hazard. Applying vacuum grease ensures that the apparatus is airtight and the vapor produced is collected in the collection flask.

In a simple distillation setup, the sequence of equipment from the benchtop to the round-bottom flask is as follows: Heating mantle, lab jack, round-bottom flask.

The heating mantle is used to heat the sample and the lab jack is used to adjust the height of the round-bottom flask. The round-bottom flask is where the sample is collected after it has been distilled.

The stir plate is not used in a simple distillation setup because the sample is not being stirred. Simple distillation is used to separate two liquids that have a large difference in boiling points (more than 25°C) and do not have any other chemical properties in common.

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Select the true statement. The four most prevalent elements in biosystems, in random order, are. H.O.S.C. The chiral amino acids found in biosystems are D-stereoisomers. Hydrogen bonds are weaker in non-polar solvents than they are in water. The strength of ionic bonds is inversely proportional to the dielectric constant of the solvent.

Answers

The correct statement is "Hydrogen bonds are weaker in non-polar solvents than they are in water."

The four most prevalent elements in biosystems, in random order, are C, H, O, and N. Amino acids are the building blocks of proteins, and the majority of the ones found in nature are L-stereoisomers, which means that they are left-handed. Ionic bonds are stronger in low dielectric constant solvents than in high dielectric constant solvents. They're also weaker in water because of its high dielectric constant. As a result, hydrogen bonding is stronger in water than in nonpolar solvents.

Therefore, the statement, "Hydrogen bonds are weaker in non-polar solvents than they are in water" is true.

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pls
help me
1.) What is the chemical reaction equation for 1-propanol? 2.) What is the chemical reaction equation for 2-propanol?

Answers

The chemical reaction equation for 1-propanol is : CH₃CH₂CH₂OH + 6[O] → 3CO₂ + 4H₂O₂.)

The chemical reaction equation for 2-propanol is : CH₃CHOHCH₃ + 3[O] → 2CO₂ + 3H₂O

1-propanol is also known as n-propanol, 1-propyl alcohol, or propan-1-ol. The chemical formula of 1-propanol is CH₃CH₂CH₂OH. 1-Propanol is used as a solvent, in the manufacturing of various chemicals, and in the production of cosmetics and pharmaceuticals.1-propanol is highly flammable and can react with oxidizing agents, such as potassium permanganate or chromic acid, to produce heat and potentially explosive mixtures.1-propanol is oxidized when it reacts with oxygen, producing carbon dioxide and water. The balanced equation for this reaction is:

CH₃CH₂CH₂OH + 6[O] → 3CO₂ + 4H₂O

The equation for 2-propanol is as follows:

CH₃CHOHCH₃ + 3[O] → 2CO₂ + 3H₂O

The chemical formula of 2-propanol is CH₃CHOHCH₃. 2-propanol is used as a solvent and a cleaning agent. 2-propanol is flammable and should be handled with care when used in an industrial setting.2-propanol is oxidized when it reacts with oxygen, producing carbon dioxide and water. The balanced equation for this reaction is:

CH₃CHOHCH₃ + 3[O] → 2CO₂ + 3H₂O

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what is the final concentration of h2so4 when 8.65 ml of 18.1 m h2so4 is diluted to a final volume of 100. ml?

Answers

The final concentration of H₂SO₄ after dilution is 1.564 M.

Concentration refers to the amount of a substance present in a given volume or mass of a solution or mixture. It is a measure of how much solute is dissolved or dispersed in a solvent or mixture.

Concentration can be expressed in various ways, such as molarity (moles of solute per liter of solution), mass/volume percent (mass of solute per volume of solution), or parts per million (ppm).

C₁V₁ = C₂V₂

Where:

C₁ = Initial concentration of H₂SO₄

V₁ = Initial volume of H₂SO₄

C₂ = Final concentration of H₂SO₄

V₂ = Final volume of the solution

Given:

C₁ = 18.1 M

V₁ = 8.65 mL

V₂ = 100 mL

C₂ = (C₁ × V₁) / V₂

C₂ = (18.1 M × 8.65 mL) / 100 mL

C₂ = 1.564 M

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the mass spec data shows only one base peak at m/z 27, and a smaller peak at 26, so there are no alkyl fragments. one nitrogen atom will have a molecular weight of 14, leaving 13 amu for the remaining unknown portion. a molecular weight of 13 amu can only correspond to one carbon atom and one nitrogen atom, giving the molecular formula of chn .

Answers

The mass spec data indicates a molecular formula of CHN, consisting of one carbon atom, one nitrogen atom, and no alkyl fragments.

In the given mass spec data, there is only one base peak observed at m/z 27, which corresponds to a fragment with a molecular weight of 27 atomic mass units (amu). Additionally, there is a smaller peak at m/z 26, indicating a molecular weight of 26 amu.

Since alkyl fragments typically appear at higher m/z values due to their larger molecular weights, the absence of peaks at higher m/z values suggests the absence of alkyl groups in the molecule.

To determine the composition of the unknown portion of the molecule, we need to consider the molecular weights of individual atoms. A nitrogen atom has a molecular weight of 14 amu, leaving 13 amu for the remaining unknown portion.

This 13 amu can only correspond to one carbon atom (with a molecular weight of 12 amu) and one nitrogen atom (with a molecular weight of 14 amu).

Combining the information from the mass spec data and the molecular weights of individual atoms, we conclude that the molecular formula of the compound is CHN, which stands for one carbon atom, one hydrogen atom, and one nitrogen atom.

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How many Ba2+ ions are contained in 5.46 g of BaCrO4?

Answers

BaCrO4 is a chemical compound with a molar mass of 253.32 g/mol. BaCrO4 contains Ba2+ ions, which are ionic forms of barium. Barium chromate is the common name for BaCrO4.

This chemical compound is made up of one barium ion (Ba2+) and one chromate ion (CrO42−).

To determine how many Ba2+ ions are contained in 5.46 g of BaCrO4, we need to use the molar mass and the formula weight of the Ba2+ ion.

Ba2+ has a molar mass of 137.33 g/mol, which we can use to convert from mass to moles.

To get the number of Ba2+ ions in the sample,

we need to divide the number of moles of BaCrO4 by the number of moles of Ba2+.5.46 g BaCrO4 x (1 mol BaCrO4 / 253.32 g BaCrO4) x (1 mol Ba2+ / 1 mol BaCrO4) = 0.0215 mol Ba2+

To determine the number of Ba2+ ions, we must multiply the number of moles of Ba2+ by Avogadro's number.

1 mol Ba2+ x (6.022 x 1023 Ba2+ ions / 1 mol Ba2+) = 1.30 x 1022 Ba2+ ions

There are 1.30 x 1022 Ba2+ ions in 5.46 g of BaCrO4.

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Consider a one-dimensional NaCl crystal where each ion has nearest neighbours of the opposite charge a distance ' a ' from it. One of the Na +
ions is displaced by a small amount δ(a>>δ) from its equilibrium position. Obtain an expression for the change in the Madelung constant to the smallest non-vanishing order in δ. What can you conclude from the result.

Answers

The change in the Madelung constant is proportional to the displacement, and it is dependent on the charge of the ions, the distance between the displaced ion and its nearby ions, and other factors, according to this conclusion.

Let's investigate the electrostatic potential caused by the displacement of the Na⁺ ion in order to generate an expression for the change in the Madelung constant to the smallest non-vanishing order in.

The total electrostatic potentials contributed by each ion in the crystal lattice are represented by the Madelung constant. The change in the electrostatic potential brought on by the slight movement of one Na⁺ ion will have an impact on how the Madelung constant changes.

We can think about the change in the Madelung constant up to the first-order approximation if the displacement is small (a >> ). Let M stand for the Madelung constant's initial value and M for its variation.

We can analyze the change by taking into account the Madelung constant's contribution from the displaced Na⁺ ion. Since every ion has close neighbors with the opposite charge, the displaced ion's electrostatic potential will be impacted by the nearby ions.

By taking into account the contribution from the nearby ions and applying Coulomb's equation, we may roughly determine the potential at the location of the displaced ion. Let r be the distance between the displaced ion and its nearby ions (a in the equilibrium constant), and let q be the charge of the ions, which is the elementary charge e.

When the displacement is taken into account, the electrostatic potential change can be roughly calculated as V q / (40r), where 0 is the vacuum permittivity.

We can now think about how this hypothetical change affects the Madelung constant. The total electrostatic potential of all the ions affects the Madelung constant. We can write the change as M N V because that is what we are interested in, where N is the total number of ions in the crystal lattice.

When the expression for V is substituted, we get M N (q / (40r)).

The formula for the Madelung constant change to the smallest non-vanishing order in is as follows:

ΔM ≈ N (q / (4πε₀r)) δ.

The change in the Madelung constant is proportional to the displacement, and it is dependent on the charge of the ions, the distance between the displaced ion and its nearby ions, and other factors, according to this conclusion.

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Determine whether the study is experiment or an observational study, and then identify a major problem with the study. a) The Physicians Health Study involved 22,071 male physicians. Based on random selections, 11,037 of them were treated with aspirin and the other 11,034 were given placebos. The study was stopped early because it became clear that the aspirin reduced the risk of hear attack by a substantial amount. b) A medical researcher tested for a difference in systolic blood pressure levels between male and female students who are 12 years of age. She randomly selected four males and four females for her study.

Answers

a) The study is an experimental study.

A major problem with the study is the lack of blinding.

b) The study is an observational study.

A major problem with the study is the small sample size.

a) The Physicians Health Study is an experiment because the researchers intentionally assigned participants to two groups: one receiving aspirin and the other receiving placebos.

A major problem with the study is the lack of blinding. Since the participants were aware of whether they were receiving aspirin or placebos, their knowledge could have influenced their behavior and responses, potentially introducing bias. Additionally, the study involved only male physicians, so the results may not be generalizable to other populations or genders.

b) The study described is an observational study because the researcher did not intervene or assign treatments. Instead, the researcher observed and compared existing differences in systolic blood pressure levels between male and female students.

A major problem with the study is the small sample size. With only four males and four females, the sample may not be representative of the larger population, limiting the generalizability of the findings. Additionally, the study did not specify any control or comparison group, making it challenging to draw definitive conclusions about the differences in blood pressure between genders.

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A given ample of ga ha a volume of 4. 20 L at 60. C and 1. 00 atm preure. Calculate it preure if the volume i changed to 5. 00 L and the temperature to 27C (aume the amount of ga doe not change)

Answers

The pressure of the gas would be 0.84 atm when the volume is changed to 5.00 L and the temperature is changed to 27°C.

To calculate the pressure of a gas when the volume and temperature are changed, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.
Initial volume (V₁) = 4.20 L
Initial temperature (T₁) = 60°C = 333 K
Initial pressure (P₁) = 1.00 atm
Final volume (V₂) = 5.00 L
Final temperature (T₂) = 27°C = 300 K

To solve for the final pressure (P₂), we can use the equation PV = nRT and compare the initial and final states of the gas.
1: Convert temperatures to Kelvin
Initial temperature (T₁) = 60°C = 333 K
Final temperature (T₂) = 27°C = 300 K

2: Use the equation PV = nRT to compare the initial and final states of the gas.
(P₁)(V₁) = (P₂)(V₂)

3: Rearrange the equation to solve for P₂.
P₂ = (P₁)(V₁) / V₂

4: Substitute the given values into the equation.
P₂ = (1.00 atm)(4.20 L) / 5.00 L

5: Calculate the final pressure (P₂).
P₂ = 0.84 atm

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What is the electron-domain (charge-cloud) geometry of BrF5? Enter the electron-domain geometry of the molecule.


b. What is the molecular geometry of BrF5?


c. Ignoring lone-pair effects, what is the smallest bond angle in BrF5?


d. Which choice best describes the polarity of BrF5?

Answers

The electron-domain (charge-cloud) geometry of BrF5 is octahedral, and the molecular geometry is square pyramidal.

In BrF5, bromine (Br) is the central atom surrounded by five fluorine (F) atoms. The Br atom has seven valence electrons, and each F atom contributes one valence electron. The total number of valence electrons is 34. Based on the electron-domain geometry, there are six electron domains around the central Br atom, consisting of five bonding pairs (Br-F) and one lone pair.

The electron-domain geometry of BrF5 is octahedral because it has six electron domains. This arrangement maximizes the distance between electron domains, resulting in a symmetrical structure. However, considering the molecular geometry, the lone pair occupies more space than the bonding pairs, causing the fluorine atoms to be slightly pushed downward. This leads to a square pyramidal molecular geometry.

Ignoring lone-pair effects, the smallest bond angle in BrF5 is approximately 90 degrees. This angle occurs between the two adjacent fluorine atoms in the axial positions of the square pyramid.

Regarding the polarity of BrF5, the molecule is polar due to the asymmetrical arrangement caused by the lone pair. The fluorine atoms are highly electronegative, causing an uneven distribution of electron density. As a result, BrF5 exhibits a net dipole moment, making it a polar molecule.

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If 0.889J of heat causes a 0.124 degree C temperature change, what mass of water is present?

Answers

Answer:

m = 1.73 g

Explanation:

We can use the formula for heat capacity to solve this problem:

q = m x c x ΔT

where q is the heat energy transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.

In this case, we know that q = 0.889 J and ΔT = 0.124°C. We are trying to find the mass of water present.

The specific heat capacity of water is 4.184 J/g°C. Substituting the given values into the formula, we get:

0.889 J = m x 4.184 J/g°C x 0.124°C

Simplifying and solving for mass, we get:

m = 0.889 J / (4.184 J/g°C x 0.124°C)

m = 1.73 g

The mass of water that would be present when 0.889J of heat causes 0.124°C temperature change is 1.712 g.

We know from the following formula,

Q=m x c x ΔT

where, Q ⇒Amount of heat energy (absorbed or liberated)

            m ⇒mass of the sample

             c ⇒specific heat capacity of the sample

           ΔT ⇒Change in temperature

So, putting in the formula,

Q=0.889J (given)

ΔT=0.124°C (given)

c=4.186 J/ g-°C (specific heat capacity of water)

∴ Q= mcΔT

⇒ 0.889= mx(4.186)x(0.124)

⇒ m= 1.712 g

Specific heat capacity is the measure of what amount of energy is needed to be added to something to make it 1 degree hotter.

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According to the video, "Whole Grains, Fight Fat, Prevent Disease," researchers from Duke University stated that consuming _________ servings of whole grains each day can reduce a person's risk of diabetes and heart disease Discuss the Linux distributions types and what do we mean by distribution. a)Alice and Bob want to perform five instances of Deffi-Helman key agreement(DHKA). Based on the DHKA construction, they should choose a and b exponents randomlyeach time. However, Alice and Bob use random exponents a and b in the first DHKA instance,then a + i 1 and b + i 1 in the i-th instance, where i {2, 3, 4, 5}.An eavesdropper Eve observes all of these DHKA interactions. She later knows the 3-rdDKHA key. Show how she can compute the other four DHKA keys?b)Another variant of Diffie-Hellman key exchange schemes is to allow one party todetermine the shared key. The first few steps are presented as follows. What should Alice doin Step (iii) in order to compute the same key chosen by Bob?(i) Alice chooses a random exponent a and computes A = ga mod p. Alice sends A to Bob(ii) Bob chooses a random exponent b, and computes B = Ab mod p. Bob sends B to Alice.(iii) Alice ?Solution Students are playing a trivia game that has 3 topics: history, science, and math. Each player spins a spinner with 8 equal sections to get the topic of their question. The students have answered a tot A student wants to fill a plastic bag with carbon dioxide. The student decides to use the reactants sodium bicarbonate and acetic acid to inflate the bag as shown in the chemical equation below. NaHCO3( s)+CH3COOH(aq) If a student measured the volume of a plastic bag to be 2.1 liters, how many grams of sodium bicarbonate will need to be added to fill up the bag with gas? Provide your answer and your reasoning. The straight line ty=9x+12ty=9x+12 where t is an integer has the same slope as the line 8y=9x+78y=9x+7. Find the value of t. A)Circle one: True or false: B.) Create set P such that P has 63 proper subsets. What is the value printed by following pseudo code fragment?set a to 1set b to a + 1set c to a + bprint cQuestion 5 (2 points)In the following pseudocode fragment, choose a numerical value for d so the code prints 0. What should d be set to?set a to 4set b to 6set d to ???set c to a + b - dprint c What strategies can the nurse use to facilitate communication and ensure patient understanding of important information? use the point slope formula to write an equatiom of the line that passes through ((1)/(4),(4)/(7)) and has an undefined slope. write the answer in slope -intercept form. Let F(x) = f(f(x)) and G(x) = (F(x)).You also know that f(7) = 12, f(12) = 2, f'(12) = 3, f'(7) = 14 Find F'(7) = and G'(7) = If Erin's income decreases and, as a result, she chooses to buy fewer milkshakes per month at each price, then her demand curve will not shift; instead, Erin will move along her demand curve downward and to the right. shift to the right. shift to the left. not shift; instead, Erin will move along her demand curve upward and to the left. The probability distribution of the discrete random variable X is given below f(x)=( 3x)( 72) x( 75) 3x,x=0,1,2,3 Find the mean of X. The mean of X is (Type an integer or decimal rounded to three decimal places as needed.) Place each characteristic in the correct area on the Venn diagram, whether it corresponds to Australopithecus, Homo, or both. Australopithecuslarge brain short legs and long arms - more generalized diet - short legs and long arms - Sophia's age is four less than five times the age of Avery. In four years, Sophia will be three times the age of Avery. Determine their present ages. Large economic differences are observed between poor and rich countries. Discuss how migration driven by these differences may affect economic development of origin countries by answering the following questions:What challenges do you face if you want to assess these impacts using quantitative methods? Explain how you would tackle these issues. the surgeon has scheduled a cystoscopy with laser vaporization of a bladder tumor. as you begin the procedure, glycine is hanging for fluid irrigation a. which laser is most likely to be used This table contains the characteristics of all major kingdoms.Characteristics of Each KingdomDomainKingdomBody typeCell typeBacteriaEubacteria Unicellular ProkaryoteArchaeaArchaebacteria Unicellular ProkaryoteEukaryaProtista Most unicellular EukaryoteFungi Both EukaryotePlantae Multicellular EukaryoteAnimalia Multicellular EukaryoteBased on the table, which domains contain only one body type?Fungi and EukaryaBacteria and ArchaeaEukarya and FungiPlantae and Bacteria politically sensitive or influential jobs in the state, reserved for people approved by the communist party as developed in the soviet union, are known as the Let e 1=(1,0), e2=(0,1), x1=(2,6) and x2=(4,9) Let T:R ^2R ^2 be a linear transfoation that sends e1 to x1 and e2 to x2 . If T maps (8,6) to the vector y , then y = (Enter your answer as an ordered pair, such as (1,2), including the parentheses.)