Acetic acid (pka = 4.76) is 4% dissociated in an aqueous solution at 25°C. g) What was the initial concentration (molarity) of acetic acid? h) What is the pH? i) What is the van't Hoff i factor?

Answers

Answer 1

The initial concentration (molarity) of acetic acid is 0.0462 M. The pH of the solution is 1.75,  the van't Hoff i factor for acetic acid is 2,

The dissociation reaction of acetic acid in water is:

CH₃COOH + H₂O ⇌ CH₃COO- + H₃O+

The equilibrium constant expression for this reaction is:

Ka = [CH₃COO⁻][H₃O⁺]/[CH₃COOH]

Given that acetic acid is 4% dissociated in solution, we can assume that the concentration of acetic acid remaining is 96% of the initial concentration, and the concentration of both acetate and hydronium ions formed is 4% of the initial concentration.

g) What was the initial concentration (molarity) of acetic acid?

Let's assume that the initial concentration of acetic acid is x M. Then, the concentration of acetate and hydronium ions formed is 0.04x M. The concentration of acetic acid remaining is (1-0.04)x M = 0.96x M.

Using the equilibrium constant expression, we can write:

Ka = [CH₃COO⁻][H3O⁺]/[CH₃COOH]

Ka = (0.04x)(0.04x)/(0.96x)

Ka = 0.00176

We know that the equilibrium constant expression for a weak acid can be written as Ka = [H3O⁺][A-]/[HA]. In this case, HA represents acetic acid and A- represents acetate ion. Since the concentration of acetate and hydronium ions formed is 0.04x M, and assuming that they are equal due to the 1:1 stoichiometry of the dissociation reaction, we can write:

Ka = [H3O⁺][CH₃COO⁻]/[CH₃COOH]

0.00176 = (0.04x)/(0.96x)

x = 0.0462 M

Therefore, the initial concentration (molarity) of acetic acid is 0.0462 M.

h) What is the pH?

The concentration of hydronium ions formed in the solution can be calculated using the equation:

[H3O⁺] = Ka[CH₃COOH]/[CH₃COO⁻]

[H3O⁺] = (0.00176)(0.0462)/(0.00462)

[H3O⁺] = 0.0177 M

The pH of the solution can be calculated using the equation:

pH = -log[H3O⁺]

pH = -log(0.0177)

pH = 1.75

Therefore, the pH of the solution is 1.75.

i) What is the van't Hoff i factor?

The van't Hoff i factor represents the number of particles that are formed when a solute dissolves in a solvent. In this case, acetic acid is a weak acid, which means that it partially dissociates in water to form acetate and hydronium ions. Therefore, the van't Hoff i factor for acetic acid is 2, since 2 particles are formed when it dissolves in water (one molecule of acetic acid and one hydronium ion).

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Related Questions

What concentration of aqueous NH3 is necessary to just start precipitation of Mn(OH)2 from a 0.020 M solution MnSO4? Kb for NH3 is 1.8 × 10−5 and Ksp for Mn(OH)2 is 4.6 × 10−14.
a. 1.4 × 10^−5 M
b. 3.7 × 10^−7 M
c. 1.6 × 10^−6 M
d. 1.3 × 10^−7 M
e. 8.4 × 10^−2 M

Answers

The concentration of aqueous NH3 required to just start precipitation of Mn(OH)2 from a 0.020 M solution of MnSO4 is 8.4 × 10^−2 M

To determine the concentration of aqueous NH3 necessary to just start precipitation of Mn(OH)2 from a 0.020 M solution of MnSO4, we need to use the given Kb for NH3 and the Ksp for Mn(OH)2.

First, find the concentration of OH- ions needed to start the precipitation using the Ksp expression for Mn(OH)2:

Ksp = [Mn2+][OH-]^2
4.6 × 10^−14 = (0.020)[OH-]^2

Solve for [OH-]:
[OH-] = √(4.6 × 10^−14 / 0.020) ≈ 4.8 × 10^−7 M

Now, use the Kb expression for NH3 to find the required concentration of NH3:

Kb = [NH4+][OH-] / [NH3]
1.8 × 10^−5 = [NH4+][4.8 × 10^−7] / [NH3]

Assume that [NH4+] and [OH-] are equal since they come from the same source (NH3). Therefore:

1.8 × 10^−5 = [4.8 × 10^−7]^2 / [NH3]

Solve for [NH3]:


[NH3] ≈ 8.4 × 10^−2 M

Your answer: e. 8.4 × 10^−2 M

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what is the purpose of transforming aniline (2) into acetanilide (3) before performing the bromination step

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The purpose of transforming aniline into acetanilide before performing the bromination step is to increase the selectivity of the reaction. Aniline is a highly reactive compound and can undergo unwanted side reactions such as self-condensation or oxidation during the bromination process.

These side reactions can lead to a decrease in the yield of the desired product and the formation of unwanted byproducts. Acetanilide, on the other hand, is a more stable compound that is less likely to undergo these side reactions.

By converting aniline into acetanilide, the bromination reaction becomes more selective, resulting in a higher yield of the desired product, which is 4-bromoacetanilide.

Furthermore, acetanilide has a lower solubility in water compared to aniline, making it easier to isolate the product after the reaction is complete. Overall, the transformation of aniline into acetanilide serves to improve the efficiency of the bromination reaction and increase the purity of the final product.

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Draw the structures for each of the alcohols and USE ARIO to rank them in order of these relative acidities. Explain how you used ARIO. 1-Butanol, 2-Propanol(isopropanol), 2-Methyl-2-propanol(tert-Butanol), Phenol
What base can you use to deprotonate each of the alcohols
How would you use one of these specific tests in a specific different application? such as lucas tesr, ferric chloride, chromic acid,iodoform.

Answers

The relative acidities of 1-Butanol, 2-Propanol, 2-Methyl-2-propanol, and Phenol are ranked using ARIO as follows Phenol > 2-Methyl-2-propanol > 2-Propanol > 1-Butanol.

A strong base like sodium hydride (NaH) can deprotonate these alcohols.

The Ferric chloride test can be used to detect the presence of phenolic groups.


1. Atom: Phenol has the most acidic proton since it is attached to an oxygen atom in an aromatic ring.


2. Resonance: Phenol's acidity is further increased due to resonance stabilization of the resulting phenoxide ion.


3. Induction: 2-Methyl-2-propanol has a more acidic proton due to the electron-withdrawing inductive effect of the three methyl groups.


4. Orbitals: 2-Propanol and 1-Butanol have sp3 hybridized carbon atoms, making them less acidic than the others.

Ferric chloride test application: To test for the presence of phenolic groups, mix a few drops of the compound with a few drops of 1% aqueous ferric chloride solution. A positive test will show a color change, usually to purple or blue.

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a two-word phrase in each box. the value of the ___ q is equal to the ___ k, when equilibrium is reacted

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The value of the "reaction quotient (Q)" is equal to the "equilibrium constant (K) when equilibrium is reached.

The reaction quotient (Q) is a measure of the relative concentrations of reactants and products in a chemical reaction at a given point in time, before the reaction has reached equilibrium. It is calculated in the same way as the equilibrium constant (K_eq), but using the current concentrations of the reactants and products rather than their equilibrium concentrations.

The equilibrium constant, denoted by K, is a quantitative measure of the extent to which a chemical reaction proceeds to reach equilibrium. It relates the concentrations of the products and reactants at equilibrium, under a given set of conditions.

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22 g of KCl and 200 g of H,O Express your answer using two significant figures. AEP O ? Submit Request Answer Part B 11 g of sugar in 225 g of tea with sugar (solution) Express your answer using two significant figures. 0 AED ON? Submit Request Answer Part 7.0 g of CaCl, in 85.0 g of CaCl, solution Express your answer using two significant figures 90 AED ROO? MacBook Air

Answers

A. The answer is 4.9 % (2 sig figs). This gives us 0.115 mol of KCl and 0.0938 mol of H₂O.

B. The answer to this question is 4.9 % (2 sig figs). This gives us 0.068 mol of sugar and 0.0938 mol of tea.

What is molar mass?

It is calculated by adding together the atomic masses of all the atoms in the substance. The molar mass of a substance is an important factor for understanding its properties and behavior.

Part A: 22 g of KCl and 200 g of H₂O.

The answer to this question is 4.9 % (2 sig figs). This can be calculated by first converting the given masses of KCl and H₂O into moles, using their respective molar masses.

This gives us 0.115 mol of KCl and 0.0938 mol of H₂O.

We can then calculate the mass percent of KCl in the solution by dividing the mass of KCl by the total mass of the solution and multiplying by 100. This gives us 4.9 % (2 sig figs) of KCl in the solution.

Part B: 11 g of sugar in 225 g of tea with sugar (solution).

The answer to this question is 4.9 % (2 sig figs). This can be calculated by first converting the given masses of sugar and tea into moles, using their respective molar masses.

This gives us 0.068 mol of sugar and 0.0938 mol of tea.

We can then calculate the mass percent of sugar in the solution by dividing the mass of sugar by the total mass of the solution and multiplying by 100.

This gives us 4.9

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A. The answer is 4.9 % (2 sig figs). This gives us 0.115 mol of KCl and 0.0938 mol of H₂O.

B. The answer to this question is 4.9 % (2 sig figs). This gives us 0.068 mol of sugar and 0.0938 mol of tea.

What is molar mass?

It is calculated by adding together the atomic masses of all the atoms in the substance. The molar mass of a substance is an important factor for understanding its properties and behavior.

Part A: 22 g of KCl and 200 g of H₂O.

The answer to this question is 4.9 % (2 sig figs). This can be calculated by first converting the given masses of KCl and H₂O into moles, using their respective molar masses.

This gives us 0.115 mol of KCl and 0.0938 mol of H₂O.

We can then calculate the mass percent of KCl in the solution by dividing the mass of KCl by the total mass of the solution and multiplying by 100. This gives us 4.9 % (2 sig figs) of KCl in the solution.

Part B: 11 g of sugar in 225 g of tea with sugar (solution).

The answer to this question is 4.9 % (2 sig figs). This can be calculated by first converting the given masses of sugar and tea into moles, using their respective molar masses.

This gives us 0.068 mol of sugar and 0.0938 mol of tea.

We can then calculate the mass percent of sugar in the solution by dividing the mass of sugar by the total mass of the solution and multiplying by 100.

This gives us 4.9

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calculate the solubility of iron(ii) hydroxide (ksp=4.87×10−17)(ksp=4.87×10−17) in pure water in grams per 100.0 mlml of solution.

Answers

The solubility product expression for iron(II) hydroxide, Fe(OH)2, is:

Ksp = [Fe2+][OH-]^2 = 4.87×10^-17

Let's assume that the initial concentration of Fe2+ and OH- ions in pure water is x M. Then, the equilibrium concentration of Fe2+ and OH- ions will also be x M.

Therefore, the solubility product expression becomes:

Ksp = x * (2x)^2 = 4x^3

Solving for x:

4x^3 = 4.87×10^-17

x^3 = 1.2175×10^-17

x = (1.2175×10^-17)^(1/3)

x = 2.312×10^-6 M

The solubility of Fe(OH)2 is equal to the concentration of Fe2+ ions, which is x.

To convert this to grams per 100.0 ml of solution, we need to multiply by the molar mass of Fe(OH)2 and the volume of the solution:

solubility = x * molar mass * 100 / volume

Assuming the molar mass of Fe(OH)2 is 89.86 g/mol and the volume of the solution is 100.0 ml, we get:

solubility = (2.312×10^-6 M) * (89.86 g/mol) * 100 / 100.0 ml

solubility = 0.00208 g/100.0 ml

Therefore, the solubility of iron(II) hydroxide in pure water is 0.00208 g/100.0 ml of solution.

*IG:whis.sama_ent*

When 2.65 g of an unknown weak acid (HA) with a molar mass of 85.0 g/mol is dissolved in 250.0 g of water, the freezing point of the resulting solution is -0.259 ?C. Part A Calculate Ka for the unknown weak acid.

Answers

When 2.65 g of an unknown weak acid (HA) with a molar mass of 85.0 g/mol is dissolved in 250.0 g of water, the Kₐ for the unknown weak acid is 2.367 × 10⁻⁴

We know that,

dT = Kf ×molality × i

    = Kf×m×i

"i" is the van't Hoff factor.

Molality is defined as the number of moles of solute divided by the mass of solvent in kg.

i.e. molality

= (no of moles of solute) / Kg of solvent

= 2.65g /250g x 1 mol /85 g x1000g/kg

=0.1247 moles

and Kf for water = - 1.86 and dT = -0.259

by substitution

0.259 = 1.86× 0.1247 × i

Therefore, i = 1.116

when the degree of dissociation formula is:

when n=2 and  i = 1.116

a= i-1/n-1

= (1.116 -1)/(2-1)

= 0.116

Substituting these values to find Kₐ

∴K = Ca^2/(1-a)

    = (0.1247 × 0.116)² / (1-0.116)

    = 2.367 × 10⁻⁴

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: A 25 ml solution of HBr is completely neutralized by 18 mL of 1.0 M LiOH. What is the concentration of the HBr solution? Would you consider the acid solution to be concentrated or dilute? Justify your answer. Make sure to write the balanced chemical equation to show the neutralization reaction that occurs and use significant figures when solving for the concentration (Equation: MAVA= MBVB).

Answers

The HBr solution with a concentration of 0.72 M would be considered concentrated.

The balanced chemical equation for the neutralization reaction between HBr and LiOH is:

HBr + LiOH → LiBr + H2O

According to the equation, 1 mole of HBr reacts with 1 mole of LiOH to produce 1 mole of water.

Using the given volume and concentration of LiOH, we can calculate the number of moles of LiOH used:

moles of LiOH = M x V = 1.0 M x 0.018 L = 0.018 moles

Since the reaction is 1:1 between HBr and LiOH, the number of moles of HBr present in the 25 mL solution is also 0.018 moles.

Using the equation MAVA= MBVB, we can solve for the concentration of the HBr solution:

MA = (MB x VB) / VA = (1.0 M x 0.018 L) / 0.025 L = 0.72 M

Therefore, the concentration of the HBr solution is 0.72 M.

To determine if the solution is concentrated or dilute, we need to compare its concentration to the typical range of concentrations for acid solutions.

Acid solutions with concentrations less than 0.1 M are considered dilute, while those with concentrations greater than 1.0 M are considered concentrated.

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The HBr solution with a concentration of 0.72 M would be considered concentrated.

The balanced chemical equation for the neutralization reaction between HBr and LiOH is:

HBr + LiOH → LiBr + H2O

According to the equation, 1 mole of HBr reacts with 1 mole of LiOH to produce 1 mole of water.

Using the given volume and concentration of LiOH, we can calculate the number of moles of LiOH used:

moles of LiOH = M x V = 1.0 M x 0.018 L = 0.018 moles

Since the reaction is 1:1 between HBr and LiOH, the number of moles of HBr present in the 25 mL solution is also 0.018 moles.

Using the equation MAVA= MBVB, we can solve for the concentration of the HBr solution:

MA = (MB x VB) / VA = (1.0 M x 0.018 L) / 0.025 L = 0.72 M

Therefore, the concentration of the HBr solution is 0.72 M.

To determine if the solution is concentrated or dilute, we need to compare its concentration to the typical range of concentrations for acid solutions.

Acid solutions with concentrations less than 0.1 M are considered dilute, while those with concentrations greater than 1.0 M are considered concentrated.

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Calculate the volume of a solution prepared by diluting a 2.0 L solution of 0.80 M Ca(CO3)2 to 0.30 M. Select the correct answer below: 5.3 L 6.1 L 6.7 L 7.2 L FEEDBACK MORE INSTRUCTION SUBMIT

Answers

The U.S. Geological Survey's procedures for organising and carrying out investigations on water resources are described in a series of chapters on methodologies.5.3 Temperature affects the standard heat of reaction.

2*0.8= 0.3 V

V= 1.6/0.3

= 5.3. Users of the Code may obtain the wording of the provisions in effect by searching for an OMB control number displayed by federal agencies.The manual balances the need for comprehensive coverage by giving an overview of the application of nuclear techniques in soil science and plant nutrition.

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At 25 Celsius does hydrogen or nitrogen have the higher average kinetic energy?

Answers

Answer:

Yes

Explanation:

17×10−21 J/molecule.

Spacecraft bring back samples of two asteroids. One brings back a small sample, and the other brings back a large sample. Back on Earth, scientists observer that the samples have a similar color and hardness. Scientists weigh the samples and find that the small sample has a mass of 10 grams, and the large sample has a mass of 1,000 grams.

Write a set of procedures that will allow any scientist to be able to gather more evidence about whether the two samples are likely to be the same substance or not.

This is just confusing.

Answers

Here are some procedures that scientists can follow to gather more evidence about whether samples are the same substance or not: Conduct a chemical analysis, Conduct a spectroscopic analysis, Conduct a crystallographic analysis, Conduct a density analysis

Conduct a chemical analysis: If the samples have the same composition, then they are likely to be the same substance.

Conduct a spectroscopic analysis: If the spectral signatures are the same, then the samples are likely to be the same substance.

Conduct a crystallographic analysis: If the crystal structures are the same, then the samples are likely to be the same substance.

Conduct a density analysis: If the densities are the same, then the samples are likely to be the same substance.

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explain why hc--ch is more acidic than ch3ch3, even though the c-h bond in hc-ch has a higher bond dissociation energy than the ch bond in ch3ch3

Answers

The reason why HC≡CH (acetylene) is more acidic than CH3CH3 (ethane) is due to the difference in hybridization of the carbon atoms and the resulting stability of the conjugate bases formed upon deprotonation. In HC≡CH, the carbon atom is sp-hybridized, while in CH3CH3, the carbon atom is sp3-hybridized.

When a proton is removed from HC≡CH, the resulting conjugate base is a negatively charged acetylide ion (C≡C-), in which the negative charge is delocalized over the two sp-hybridized carbon atoms. This delocalization of the negative charge leads to a more stable conjugate base, making it easier for the molecule to lose a proton and act as an acid.

On the other hand, when a proton is removed from CH3CH3, the resulting conjugate base is a negatively charged ethyl anion (CH3CH2-), with the negative charge localized on a single sp3-hybridized carbon atom. This conjugate base is less stable than the acetylide ion due to the lack of delocalization, making it harder for ethane to lose a proton and act as an acid.

Thus, even though the C-H bond in HC≡CH has a higher bond dissociation energy than the C-H bond in CH3CH3, HC≡CH is more acidic because its conjugate base is more stable due to the delocalization of the negative charge over the sp-hybridized carbon atoms.

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When the pressure is increased on the following system at equilibrium, 3H2(g) + N2(g) =2 NH3(g), by decreasing the volume to half of the initial volume, A. In order to restore equilibrium, the reaction shifts right, toward products B. In order to restore equilibrium, the reaction shifts left toward reactants C. No change occurs D. None of the above

Answers

There are 4 moles of gas on the left side (3H2 + N2) and 2 moles on the right side (2NH3), the reaction will shift right, toward products, to restore equilibrium. Therefore, the correct answer is A. In order to restore equilibrium, the reaction shifts right, toward products.

When the pressure is increased on the given system at equilibrium, decreasing the volume to half of the initial volume, the reaction will shift in the direction that produces fewer moles of gas. In this case, the reaction produces 2 moles of NH3 from 4 moles of gas (3 moles of H2 and 1 mole of N2). Therefore, the reaction will shift right towards products to reduce the pressure.
So, the correct answer is A. In order to restore equilibrium, the reaction shifts right, toward products.
When the pressure is increased on the following system at equilibrium, 3H2(g) + N2(g) = 2NH3(g), by decreasing the volume to half of the initial volume, the reaction shifts to restore equilibrium. According to Le Chatelier's principle, the system will shift to counteract the change in pressure. In this case, it will shift towards the side with fewer moles of gas to reduce pressure.
Since there are 4 moles of gas on the left side (3H2 + N2) and 2 moles on the right side (2NH3), the reaction will shift right, toward products, to restore equilibrium. Therefore, the correct answer is A. In order to restore equilibrium, the reaction shifts right, toward products.

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How many atoms are contained in 6 grams of carbon monoxide CO?

Answers

Answer: There are nine atoms in carbon monoxide (CO). One atom of carbon (C) and one atom of oxygen (O).

Explanation:

A mixture of CO(g) and O2(g) in a 1.1 −L container at 1.0×103 K has a total pressure of 2.3 atm . After some time the total pressure falls to 1.8 atm as the result of the formation of CO2.
Find the mass (in grams) of CO2 that forms.

Answers

The mass of [tex]CO_{2}[/tex] that forms is approximately 0.299 grams.

How to calculate the mass of a gas ?

The term "partial pressure" refers to the pressure that one gas in a combination imposes. Partial pressure refers to the pressure exerted by a gas in a gas mixture if it alone inhabited the entire volume occupied by the combination.

To find the mass of [tex]CO_{2}[/tex] that forms in the reaction between CO(g) and  [tex]O_{2}[/tex](g) in a 1.1-L container at 1.0x10^3 K with an initial total pressure of 2.3 atm and a final total pressure of 1.8 atm, follow these steps:

1. Calculate the initial moles of the gas mixture:
Use the ideal gas law, PV = nRT. Rearrange to solve for n: n = PV / RT.
Initial moles (n_initial) = (2.3 atm)(1.1 L) / (0.0821 L atm/mol K)(1.0x10^3 K)

= 0.0309 moles.

2. Calculate the final moles of the gas mixture:
Final moles (n_final) = (1.8 atm)(1.1 L) / (0.0821 L atm/mol K)(1.0x10^3 K)

= 0.0241 moles.

3. Determine the moles of  [tex]CO_{2}[/tex] formed:
Moles of  [tex]CO_{2}[/tex] (n_ [tex]CO_{2}[/tex])

= n_initial - n_final = 0.0309 moles - 0.0241 moles

= 0.0068 moles.

4. Calculate the mass of  [tex]CO_{2}[/tex] formed:
Mass of  [tex]CO_{2}[/tex] (m_ [tex]CO_{2}[/tex])

= n_ [tex]CO_{2}[/tex] x molar mass of  [tex]CO_{2}[/tex]

= 0.0068 moles x 44.01 g/mol = 0.299 grams.

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Given the nitration reaction for this modulared2 247 g of methyl benzoate and 2.2 ml of concentrated nitric acid, what was the limiting reagent? A. Water B. Methyl benzoate C, Nitric acid D. Methyl 3-nitrobenzoate

Answers

The limiting reagent is Nitric acid (Option C)

How to determine the limiting reagent?

To determine the limiting reagent, we need to calculate the number of moles of each reactant and compare their mole ratios with the balanced equation.

The balanced equation for the nitration of methyl benzoate is:

C₆H₅COOCH₃ + HNO₃ → C₆H₄(NO₂)COOCH₃ + H₂O

The molar mass of methyl benzoate (C₆H₅COOCH₃) is:

Methyl benzoate = 151.16 g/mol

Number of moles of methyl benzoate used:

n = m/M = 247 g / 151.16 g/mol = 1.635 mol

The density of concentrated nitric acid is 1.42 g/mL, and its molar mass is 63.01 g/mol. Therefore, 2.2 mL of concentrated nitric acid is equal to:

m = V x ρ = 2.2 mL x 1.42 g/mL = 3.124 g

Number of moles of nitric acid used:

n = m/M = 3.124 g / 63.01 g/mol = 0.0495 mol

Using the balanced equation, the mole ratio between methyl benzoate and nitric acid is 1:1. Therefore, the limiting reagent is nitric acid since it is present in a lower amount than the amount required for the reaction to occur completely.

Answer: C. Nitric acid is the limiting reagent.

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Whenever a gas expands isothermally, such as when you exhale or when a flask is opened, the gas undergoes an increase in entropy. A sample of methane gas of mass 15 g at 260 K and 105 kPa expands isothermally and (a) revers- ibly, (b) irreversibly until its pressure is 1.50 kPa. Calculate the change in entropy of the gas.

Answers

When a gas expands isothermally, its temperature remains constant throughout the process. Therefore, the change in entropy can be calculated using the equation:

ΔS = nRln(V₂/V₁)

where ΔS is the change in entropy, n is the number of moles of gas, R is the gas constant, V₁ is the initial volume, and V₂ is the final volume.

(a) Reversibly expanding the methane gas at 260 K and 105 kPa until its pressure is 1.50 kPa, we can use the ideal gas law to calculate the initial volume:

PV = nRT

V₁ = (nRT)/P₁ = (15 g)/(16.043 g/mol) x (0.08206 L·atm/(mol·K)) x 260 K/105 kPa = 0.286 L

Similarly, we can calculate the final volume:

V₂ = (nRT)/P₂ = (15 g)/(16.043 g/mol) x (0.08206 L·atm/(mol·K)) x 260 K/1.50 kPa = 5.00 L

Substituting these values into the entropy equation, we get:

ΔS = (15 g)/(16.043 g/mol) x (0.08206 L·atm/(mol·K)) x ln(5.00 L/0.286 L) = 25.1 J/K

Therefore, the change in entropy of the methane gas when it isothermally and reversibly expands from 105 kPa to 1.50 kPa is 25.1 J/K.

(b) Irreversibly expanding the methane gas until its pressure is 1.50 kPa, we cannot use the same equation as in part (a) because the process is not reversible. Instead, we need to use the equation:

ΔS = q/T

where q is the heat transferred and T is the temperature.

Since the expansion is irreversible, the heat transferred is not equal to the work done on or by the gas. However, we can use the fact that the internal energy of an ideal gas depends only on its temperature to write:

ΔU = 0 = q - w

where ΔU is the change in internal energy and w is the work done on or by the gas. Since the expansion is isothermally and the temperature remains constant, we can write:

w = nRTln(V₂/V₁) = -q

Therefore, the heat transferred can be calculated as:

q = -nRTln(V₂/V₁)

Substituting this into the entropy equation, we get:

ΔS = -(15 g)/(16.043 g/mol) x (0.08206 L·atm/(mol·K)) x ln(5.00 L/0.286 L) / 260 K = 22.1 J/K

Therefore, the change in entropy of the methane gas when it isothermally and irreversibly expands from 105 kPa to 1.50 kPa is 22.1 J/K.

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moving from less condensed phases to more condensed phases is an exothermic process, and the reverse is an endothermic process. group of answer choicestruefalse

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It is True. Moving from less condensed phases (such as gas) to more condensed phases (such as liquid or solid) involves particles coming closer together and releasing energy, which makes it an exothermic process.

The reverse, going from more condensed phases to less condensed phases, requires energy input to overcome the intermolecular forces holding the particles together, making it an endothermic process. Exothermic processes are those that release energy, while endothermic processes are those that absorb energy. In this context, when a substance moves from a less condensed phase to a more condensed phase, energy is released in the form of heat. The reverse process, moving from a more condensed phase to a less condensed phase, requires energy and thus is endothermic.

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What is the ph of the resulting solution if 25.00 ml of 0.10 m acetic acid is added to 10.00 ml of 0.10 m NaOH? assume that the volumes of the solutions are additive. ka = 1.8 × 10^-5 for CH3CO2h.

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The pH of the resulting solution if 25.00 ml of 0.10 m acetic acid is added to 10.00 ml of 0.10 m NaOH is 5.80.

To solve this problem, we need to use the equation for the acid-base reaction between acetic acid and sodium hydroxide:

CH₃CO₂H + NaOH → CH₃CO₂Na + H₂O

First, we need to calculate the number of moles of acetic acid and sodium hydroxide:

n(acetic acid) = V(acetic acid) x C(acetic acid) = 25.00 mL x 0.10 mol/L = 0.00250 mol
n(sodium hydroxide) = V(sodium hydroxide) x C(sodium hydroxide) = 10.00 mL x 0.10 mol/L = 0.00100 mol

Next, we need to determine the limiting reagent. Since the stoichiometric ratio of acetic acid to sodium hydroxide is 1:1, we can see that sodium hydroxide is the limiting reagent because there are fewer moles of it.

The reaction between sodium hydroxide and acetic acid will produce sodium acetate and water. We can calculate the number of moles of sodium acetate produced using the balanced equation:

n(sodium acetate) = n(sodium hydroxide) = 0.00100 mol

Now, we need to calculate the concentration of acetic acid and acetate ion in the final solution. Since the volumes are additive, the total volume of the solution is:

V(total) = V(acetic acid) + V(sodium hydroxide) = 25.00 mL + 10.00 mL = 35.00 mL = 0.035 L

The concentration of acetate ion is equal to the moles of acetate ion divided by the total volume of the solution:

C(acetate ion) = n(sodium acetate) / V(total) = 0.00100 mol / 0.035 L = 0.0286 mol/L

Finally, we can calculate the pH of the resulting solution using the Ka expression for acetic acid:

Ka = [H⁺][CH₃CO₂⁻]/[CH₃CO₂H]

[H⁺] = Ka x [CH₃CO₂H] / [CH₃CO₂⁻]
[H⁺] = [tex](1.8 * 10^{-5})[/tex] x (0.00250 mol/L) / (0.0286 mol/L)
[H⁺] = [tex]1.57 * 10^{-6} M[/tex]

pH = -log[H⁺]
pH = [tex]-log(1.57 * 10^{-6})[/tex]
pH = 5.80

Therefore, the pH of the resulting solution is 5.80.

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Calculate the minimum (least negative) cathode potential (versus SHE) needed to begin electroplating nickel from 0.250 M Ni2+ onto a piece of iron. Assume that the overpotential for the reduction of Ni2+ on an iron electrode is negligible (The reduction potential of Ni2+ vs. SHE is –0.257 V).

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We first need to take into account the reduction potential of Ni2+ vs. SHE, which is -0.257 V, in order to get the minimal (least negative) cathode potential (against SHE) required to start electroplating nickel from 0.250 M Ni2+ onto a piece of iron.

The Ni2+ ions will start to be decreased at the cathode at this voltage. As a result, in order to start electroplating nickel from 0.250 M Ni2+ onto a piece of iron, the minimum cathode potential (against SHE) required is -0.257 V.

On an iron electrode, the overpotential for Ni2+ reduction is thought to be insignificant. This indicates that to start electroplating nickel from 0.250, the cathode potential (against SHE) needs to be no more negative than -0.257 V.

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We first need to take into account the reduction potential of Ni2+ vs. SHE, which is -0.257 V, in order to get the minimal (least negative) cathode potential (against SHE) required to start electroplating nickel from 0.250 M Ni2+ onto a piece of iron.

The Ni2+ ions will start to be decreased at the cathode at this voltage. As a result, in order to start electroplating nickel from 0.250 M Ni2+ onto a piece of iron, the minimum cathode potential (against SHE) required is -0.257 V.

On an iron electrode, the overpotential for Ni2+ reduction is thought to be insignificant. This indicates that to start electroplating nickel from 0.250, the cathode potential (against SHE) needs to be no more negative than -0.257 V.

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how many calcium ions are there in 2.64 mol ca3n2 ?

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In 2.64 mol of Ca3N2, there are 7.92 mol of calcium ions (Ca2+). This is because there are 3 moles of Ca2+ for every mole of Ca3N2. To find the number of calcium ions, you can use Avogadro's number (6.022 x 10^23 ions/mol): (2.64 mol Ca3N2) x (3 mol Ca2+ / 1 mol Ca3N2) = 7.92 mol Ca2+ (7.92 mol Ca2+) x (6.022 x 10^23 ions/mol) ≈ 4.77 x 10^24 calcium ions.

To find the number of calcium ions in 2.64 mol of Ca3N2, we first need to calculate the number of moles of calcium ions in Ca3N2.
Ca3N2 is composed of three calcium ions (Ca2+) and two nitride ions (N3-). This means that for every molecule of Ca3N2, there are three calcium ions.
So, to find the number of moles of calcium ions in 2.64 mol of Ca3N2, we can use the following formula:
moles of Ca2+ = (moles of Ca3N2) x (3 Ca2+ ions / 1 Ca3N2 molecule)
moles of Ca2+ = 2.64 mol x (3 Ca2+ ions / 1 Ca3N2 molecule)
moles of Ca2+ = 7.92 mol
Therefore, there are 7.92 mol of calcium ions in 2.64 mol of Ca3N2.
To find the actual number of calcium ions, we can use Avogadro's number:
number of Ca2+ ions = (moles of Ca2+) x (Avogadro's number)
number of Ca2+ ions = 7.92 mol x (6.022 x 10^23 ions/mol)
number of Ca2+ ions = 4.77 x 10^24 ions
So, there are approximately 4.77 x 10^24 calcium ions in 2.64 mol of Ca3N2.

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when a 4.00 g sample of rbbr is dissolved in water in a calorimeter that has a total heat capacity of 1.39 kj⋅k−1, the temperature decreases by 0.380 k. calculate the molar heat of solution of rbbr.

Answers

The molar heat of solution of RbBr is 11.3 kJ/mol.

To calculate the molar heat of solution of RbBr, we can use the formula:

ΔHsoln = q / n

where ΔHsoln is the molar heat of solution, q is the heat absorbed or released during the dissolution process, and n is the number of moles of RbBr dissolved.

To find q, we can use the equation:

q = CΔT

where C is the heat capacity of the calorimeter and ΔT is the temperature change.

Substituting the given values into the equation, we have:

q = (1.39 kJ/K) × 0.380 K

q = 0.5282 kJ

Next, we need to calculate the number of moles of RbBr dissolved. The molar mass of RbBr is:

M(RbBr) = 85.47 g/mol

Therefore, the number of moles of RbBr dissolved is:

n = 4.00 g / 85.47 g/mol

n = 0.0468 mol

Now we can calculate the molar heat of solution of RbBr:

ΔHsoln = q / n

ΔHsoln = (0.5282 kJ) / (0.0468 mol)

ΔHsoln = 11.3 kJ/mol

Therefore, the molar heat of solution of RbBr is 11.3 kJ/mol.

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The molar heat of solution of RbBr is 11.3 kJ/mol.

To calculate the molar heat of solution of RbBr, we can use the formula:

ΔHsoln = q / n

where ΔHsoln is the molar heat of solution, q is the heat absorbed or released during the dissolution process, and n is the number of moles of RbBr dissolved.

To find q, we can use the equation:

q = CΔT

where C is the heat capacity of the calorimeter and ΔT is the temperature change.

Substituting the given values into the equation, we have:

q = (1.39 kJ/K) × 0.380 K

q = 0.5282 kJ

Next, we need to calculate the number of moles of RbBr dissolved. The molar mass of RbBr is:

M(RbBr) = 85.47 g/mol

Therefore, the number of moles of RbBr dissolved is:

n = 4.00 g / 85.47 g/mol

n = 0.0468 mol

Now we can calculate the molar heat of solution of RbBr:

ΔHsoln = q / n

ΔHsoln = (0.5282 kJ) / (0.0468 mol)

ΔHsoln = 11.3 kJ/mol

Therefore, the molar heat of solution of RbBr is 11.3 kJ/mol.

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The ΔH∘vap of a certain compound is 29.93 kJ⋅mol−1 and its Δvap∘ is 83.12 J⋅mol−1⋅K−1.What is the normal boiling point of this compound?

Answers

The normal boiling point of the compound is approximately 450.4K

How to calculate the boiling point of a compound?

The normal boiling point of a substance is the temperature at which its vapor pressure is equal to 1 atmosphere (atm). We can use the Clausius-Clapeyron equation to calculate the normal boiling point of the compound using the given information:

ln(P1/P2) = (-ΔHvap/R) * (1/T1 - 1/T2)

where P1 and P2 are the vapor pressures of the compound at temperatures T1 (normal boiling point) and T2 (known temperature), respectively, ΔHvap is the enthalpy of vaporization, R is the ideal gas constant (8.314 J/(mol*K)), and T1 and T2 are temperatures in Kelvin (K).

Given:

ΔHvap = 29.93 kJ/mol = 29.93 * 10^3 J/mol

ΔSvap = 83.12 J/(molK)

R = 8.314 J/(molK)

Plugging in the values:

ln(P1/1 atm) = (-29.93 * 10^3 J/mol)/(8.314 J/(molK) * T1) - (83.12 J/(molK)/T1)

Solving for Tb, we get:
Tb = (-ΔH∘vap/R) * (1/(ln(Pvap/1 atm)) + 1/Tref)

Substituting the given values, we get:
Tb = (-29.93 kJ⋅mol−1 / (8.314 J⋅mol−1⋅K−1)) * (1/(ln(Pvap/1 atm)) + 1/298 K)
Plugging in the values:

ln(P1/1 atm) = (-29.93 * 10^3 J/mol)/(8.314 J/(molK) * T1) - (83.12 J/(molK)/T1)

At the normal boiling point, the vapor pressure is 1 atm, so P1 = 1 atm.

Therefore, the normal boiling point of the compound is:
Tb = (-3602.2 K) * (1/(ln(1/1)) + 0.0033557)
Tb = 450.4 K

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How many kilograms of sodium chloride will be needed to produce 17kg of chlorine?​

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To make 17 kg of chlorine, around 7.0031 kg of sodium chloride will be required.

Sodium chloride (NaCl) is generally electrolyzed to produce chlorine in a procedure known as chloralkali electrolysis.

The Chemical Equation for this reaction is:

2 NaCl + 2 H₂O → 2 NaOH + Cl₂ + H₂

According to this equation, 1 mole of Cl₂ is created for every 2 moles of NaCl.

NaCl has a molar mass of roughly 58.44 g/mol, while Cl₂ has a molar mass of roughly 70.90 g/mol.

We must first determine the number of moles of Cl₂ created in order to determine the quantity of NaCl necessary to make 17 kg of Cl₂:

Number of moles of Cl₂ = (17 kg) / (70.90 g/mol) = 240.03 mol

We just require half as many moles of NaCl since 1 mole of Cl₂ is created from 2 moles of NaCl:

Number of moles of NaCl = 1/2 × 240.03 mol = 120.015 mol

Finally, we can determine the necessary mass of NaCl:

Mass of NaCl = (120.015 mol) × (58.44 g/mol) = 7,003.1 g = 7.0031 kg

In order to make 17 kg of chlorine, roughly 7.0031 kg of sodium chloride will be required.

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What volume (in L) of 1.60 M Na3PO, would be required to obtain 0.600 moles of Nations?

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To make 0.600 moles of PO43-, you would need 0.375 L of 1.60 M Na₃PO₄.

How is 0.1 M AgNO₃ solution calculated?

By mixing 1.7 g of silver nitrate with 100 ml of water, you can create a stock solution of 0.1 M silver nitrate. Prior to making the Silver thiosulphate solution (STS), store the stock solutions in the dark. The (STS) is typically made using a 1:4 molar ratio of silver to thiosulphate.

For the reaction between Na₃PO₄ and water, the balanced chemical equation is:

Na₃PO₄ + 3 H₂O → 3 Na₊ + PO₄₃₋ + 3 OH₋

We can observe from this equation that 1 mole of Na₃PO₄ results in 1 mole of PO₄₋ ions. We would require 0.600 moles of Na₃PO₄ in order to produce 0.600 moles of PO₄₃₋.

The needed volume of 1.60 M Na₃PO₄ can be determined using the following formula:

Volume (L) = moles / molarity

Volume = 0.600 moles / 1.60 M

Volume = 0.375 L

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Sort the following compounds into the appropriate bins based on the type of stereoisomerism they exhibit (or lack of thereof). Note that all halogens and hydrogens are terminal atoms, each connected to a carbon atom. o Neither Geometric nor Optical o Geometric o Optical • CCl2=CHI • CHCI=CHCH2C1 • CH3-CH2-CH=CH-CH2-CH3 • CH2CH(CBrz)CH2CH3 • CH3CHCICH Br

Answers

Neither Geometric nor Optical:
- CH3CHCICHBr

Geometric:
- CCl2=CHI
- CHCl=CHCH2Cl
- CH2CH(CBr2)CH2CH3

Optical:
- CH3-CH2-CH=CH-CH2-CH3

In organic chemistry, stereoisomers are compounds that have the same molecular formula and the same connectivity of atoms, but differ in the way that the atoms are arranged in space.

Geometric isomers are a type of stereoisomerism that occurs in compounds that have restricted rotation around a double bond or a ring. Geometric isomers have different spatial arrangements of groups on either side of the double bond or within the ring. The compounds CCl2=CHI, CHCl=CHCH2Cl, and CH2CH(CBr2)CH2CH3 all have double bonds and therefore exhibit geometric isomerism.

Optical isomers are a type of stereoisomerism that occurs in compounds that have an asymmetric carbon atom, which is a carbon atom that is bonded to four different groups. Optical isomers are mirror images of each other and cannot be superimposed on one another. The compound CH3-CH2-CH=CH-CH2-CH3 has an asymmetric carbon atom and therefore exhibits optical isomerism.

The compound CH3CHCICHBr does not have any double bonds or asymmetric carbon atoms, so it does not exhibit either geometric or optical isomerism and is classified as neither.

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determine whether each salt is generally classified as soluble or insoluble in water.
MgCO₃ =
Ba(NO₃)₂ =
Ca₃(PO₄)₂ =
AgBr =
Ag₂SO₄ =
Na₂SO₄ =
NaNO₃ =
Al₂(SO₄)₃ =

Answers

Soluble salts in water: Ba(NO₃)₂,  Na₂SO₄, NaNO₃, Al₂(SO₄)₃ and insoluble salts are:  MgCO₃, Ca₃(PO₄)₂, AgBr, Ag₂SO₄.

To determine whether each salt is generally classified as soluble or insoluble in water, consider the following guidelines:

1. Most nitrate (NO₃⁻) and alkali metal (Group 1) salts are soluble.
2. Most sulfate (SO₄²⁻) salts are soluble, with some exceptions.
3. Most carbonate (CO₃²⁻), phosphate (PO₄³⁻), and hydroxide (OH⁻) salts are insoluble, with some exceptions.
4. Most chloride (Cl⁻), bromide (Br⁻), and iodide (I⁻) salts are soluble, with some exceptions.

Based on these guidelines:

MgCO₃ = Insoluble (carbonate)
Ba(NO₃)₂ = Soluble (nitrate)
Ca₃(PO₄)₂ = Insoluble (phosphate)
AgBr = Insoluble (exception to halides)
Ag₂SO₄ = Insoluble (exception to sulfates)
Na₂SO₄ = Soluble (sulfate)
NaNO₃ = Soluble (nitrate)
Al₂(SO₄)₃ = Soluble (sulfate)

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between a water molecule and a cation, like na , a _____a_____ occurs between a _____b_____ of the water molecule and the cation.

Answers

Between a water molecule and a cation, like Na+, an electrostatic attraction occurs between a partial negative charge (oxygen) of the water molecule and the cation.

Here's a step-by-step explanation:

1. A water molecule is a polar molecule, which means it has areas with partial positive and partial negative charges. The oxygen atom has a partial negative charge, and the two hydrogen atoms have partial positive charges.
2. A cation, like Na+, is a positively charged ion.
3. When a cation is near a water molecule, the partial negative charge (oxygen) of the water molecule is attracted to the positively charged cation, creating an electrostatic attraction between them. This interaction is also called ion-dipole interaction.

So, an electrostatic attraction occurs between a partial negative charge (oxygen) of the water molecule and the cation (like Na+).

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The hydroxide ion concentration of an aqueous solution of 0.355 M hydrocyanic acid is [OH-] = _______ M. The pH of an aqueous solution of 0.595 M acetic acid is______

Answers

The hydroxide ion concentration of an aqueous solution of 0.355 M hydrocyanic acid is 7.27 x 10⁻⁶ M.

How we can hydrocyanic aqueous solution of acetic acid?

To find the hydroxide ion concentration of an aqueous solution of 0.355 M hydrocyanic acid, we need to first write the balanced chemical equation for the dissociation of hydrocyanic acid in water:

[tex]HCN + H2O[/tex]⇌ [tex]H3O+ + CN-[/tex]

The acid dissociation constant, Ka, for hydrocyanic acid is 4.9 x 10⁻¹°. We can write the expression for the acid dissociation constant:

Ka =[tex][H3O+][CN-] / [HCN][/tex]

Since we are looking for the hydroxide ion concentration, [OH-], we can use the relationship between the concentration of hydroxide ions and the concentration of hydronium ions:

Kw = [tex][H3O+][OH-][/tex]

At 25°C, the value of the ion product constant, Kw, is 1.0 x 10⁻¹⁴. Using the expression for Kw, we can find the concentration of hydroxide ions:

[tex][OH-][/tex] = [tex]Kw / [H3O+][/tex]

[tex][OH-][/tex]= [tex]1.0 x 10⁻¹⁴ / [H3O+][/tex]

To find [H3O+], we can use the expression for the acid dissociation constant and the concentration of hydrocyanic acid:

Ka = [tex][H3O+][CN-] / [HCN][/tex]

[tex][H3O+][/tex] = [tex]Ka x [HCN] / [CN-][/tex]

Substituting this into the expression for [OH-], we get:

[tex][OH-][/tex] = 1.0 x 10⁻¹⁴ / [tex](Ka x [HCN] / [CN-])[/tex]

[tex][OH-][/tex] = [tex]([CN-] / Ka) x (1 / [HCN])[/tex] x 1.0 x 10⁻¹⁴

[tex][OH-][/tex]= (0.355 M / 4.9 x 10⁻¹°) x (1 / 0.355 M) x 1.0 x 10⁻¹⁴

[tex][OH-][/tex]= 7.27 x 10⁻⁶  M

To find the pH of an aqueous solution of 0.595 M acetic acid, we need to first write the balanced chemical equation for the dissociation of acetic acid in water:

[tex]CH3COOH + H2O ⇌ H3O+ + CH3COO-[/tex]

The acid dissociation constant, Ka, for acetic acid is 1.8 x 10⁻⁵. We can write the expression for the acid dissociation constant:

Ka = [tex][H3O+][CH3COO-] / [CH3COOH][/tex]

To find the pH, we can use the relationship between the concentration of hydronium ions and the pH:

pH = -log[tex][H3O+][/tex]

To find [H3O+], we can use the expression for the acid dissociation constant and the concentration of acetic acid:

Ka = [tex][H3O+][CH3COO-] / [CH3COOH][/tex]

[tex][H3O+][/tex] = Ka x [tex][CH3COOH] / [CH3COO-][/tex]

Substituting this into the expression for pH, we get:

pH = -log[tex](Ka x [CH3COOH] / [CH3COO-])[/tex]

pH = -log(Ka) - log[tex]([CH3COOH] / [CH3COO-])[/tex]

pH = -log(1.8 x 10⁻⁵) - log(0.595 [tex]M / [CH[/tex]

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a sample of an unknown substances has a heat capacity of 4.29 j/g °c and a mass of 9.9 kg. how much heat (in kcal) must be added to warm the solution from 7.9 °cto 94.5°c?

Answers

The amount of heat required to warm the substance from 7.9 °c to 94.5 °c is 907.3 kcal.

To solve this problem, we need to use the following formula:
Q = m × C × ΔT
where Q is the amount of heat, m is the mass of the substance, C is the specific heat capacity, and ΔT is the change in temperature.

We are given that the heat capacity (C) of the substance is 4.29 j/g °c and its mass (m) is 9.9 kg. We need to find the amount of heat (Q) required to raise the temperature from 7.9 °c to 94.5 °c.

First, we need to convert the units of the specific heat capacity from j/g °c to kcal/kg °c. We can do this by dividing 4.29 by 4.184 (the conversion factor between joules and calories) and multiplying by 1,000 (the conversion factor between calories and kilocalories):

C = 4.29 / 4.184 × 1,000 = 1.024 kcal/kg °c

Next, we can plug in the values into the formula:

Q = 9.9 kg × 1.024 kcal/kg °c × (94.5 °c - 7.9 °c)

Q = 9.9 kg × 1.024 kcal/kg °c × 86.6 °c

Q = 907.3 kcal

Therefore, the amount of heat required to warm the substance from 7.9 °c to 94.5 °c is 907.3 kcal.

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(9) Chaffey is thus a model of education reform, expanding and revising its course offerings in response to local labor demands.(10) BI is the more controversial of the two proposed reforms. (11) But its already being tried on a small scale in Stockton, California, where selected residents are receiving $500 per month. (12) Some business and labor union leaders are dismissive of this new social safety net, suggesting that it discourages people from working, but tech industry leaders argue persuasively that BI can provide workers with needed resources and flexibility to take jobs in the freelance or gig economy. (13) Employment issues have already inspired BI pilot programs in Finland, Kenya, Canada, and the Netherlands, showing that there is emerging international support for this strategy. (14) Hopefully, as automation disrupts more industries, public acceptance of BI will increase in the United States as well.(15) We cant just sit around twiddling our thumbs as new tech keeps changing the game in a bunch of businesses.Which of the following can best be described as the passage's thesis?() Sentences 1 and 2(B) Sentence 4(C) Sentences 5 and 6(D) Sentences 10 and 11(E) Sentence 13 f(x y)=x + y - xy d is the closed triangular region with vertices (0,0),(0,2),(4,0) What is the role of the Centers for Disease Control and Prevention in maintaining food safety? design an excess-3-to-bcd code converter that gives output code 0000 for all invalid input combinations. Help please. A.) 24, B.) -4, C.) -6, D.) -8, C.) -24 All but which question can help identify a rock formation?A. how old is the rock?B. what geographic location is the rock from?C. what environmental conditions helped form the rock?D. what size are the grains? ayo 30 ptsWhat is the distance between the two points shown below?6 units0 units4 units8 units Bert is 27.5 kilometers away from Brenda. Both begin to walk toward each other at the same time. Bert walks at 4 kilometers per hour. They meet in 5 hours. How fast is Brenda walking? 1. Which of the following organisms would NOT display bilateral symmetry because of its feeding behavior?A. a bee that collects nectar from flowersB. a fish that follows its prey over a long distanceC. a filter feeder that eats food carried by currentsD. a crab that searches for debris on a beach2. Perception of visual cues is essential for survival of most animals. A scientist analyzes the vision receptor molecule in invertebrates and vertebrates. The results show that the genes for opsin, the protein part of the photoreceptor, share strong homology in the regions that code for domains involved in light response. Which of the following conclusions is the MOST likely?A. The receptor molecules will be structurally different but respond to the same light cues.B. The receptor molecule will be similar in invertebrates and vertebrates because of convergent evolution.C. The receptor molecules will be different because invertebrates and vertebrates perceive visual cues in different environments.D. The receptor molecules will be similar in invertebrates and vertebrates because they appeared early in evolution.3. A paleontologist identified two distinct species of mollusks in the fossil record of a region. In the layer below a mass extinction that devastated the region, the paleontologist observed that shells of species A was present in small numbers over a widespread area whereas species B was abundant and found in a few restricted areas. Which of the following predictions about the fossil record in the layer above the mass extinction is the MOST likely to be supported by further excavations?A. Species A survived because of its widespread range including some areas that were not as affected by mass extinction.B. Species A survived because the low number of individuals meant that there was less competition for resources.C. Species B survived because it was the more abundant and more individuals survived.D. Species B survived because the population was concentrated in a few areas and had a higher chance of survival.4. Insects, birds, and bats can fly. Which of the following is a derived characteristic unique to birds and bats?A. light body weightB. modified limbs for flightC. high metabolic rateD. large surface of wings