PH and the Acid Dissociation Constant

In summary, the hydronium ion concentration for the aqueous solution of NH3 is 4.44 x 10^-12 M and the pH is 11.35. The acid dissociation constant for the 0.010 M nitrous acid solution with a pH of 2.70 is 4.97E-4.
  • #1
Soaring Crane
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0
1. What is the hydronium ion concentration and the pH for an aqueous solution of NH3 that has a hydroxide ion concentration of 2.25E-3 M?

a. 4.44 x 10-11 M, 3.65
b. 4.44 x 10-11 M, 10.35
c. 4.44 x 10-12 M, 2.65
d. 4.44 x 10-12 M, 11.35

[OH] = 2.25E-3
pOH = -log(2.25E-3) = 2.6478
-log[H3O+] = 14 - 2.6478 = 11.352 = pH
[H3O+] = antilog(-11.352] = 4.44E-12


2. Determine the acid dissociation constant for a 0.010 M nitrous acid solution that has a pH of 2.70. Nitrous acid is a weak monoprotic acid and the equilibrium equation of interest is HNO2 + H2O <-> H3O+ + NO2-.

a. 8.0 x 10-3
b. 2.0 x 10-3
c. 5.0 x 10-4
d. 4.0 x 10-4

K_a = [NO2-][H30+]/[HNO2]

pH = -log[H3O+]
2.70 = -log[H3O+]
[H3O+] = antilog(-2.70) = 0.001995 M

K_a = [0.001995 M]^2/[0.010 M - 0.001995 M] = 4.97E-4

Thanks.
 
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  • #2
2xOK
 
  • #3
Your calculations for both questions are correct. The hydronium ion concentration for the first question is indeed 4.44 x 10^-12 M and the pH is 11.35. This is because the concentration of hydroxide ions is inversely proportional to the concentration of hydronium ions in an aqueous solution.

For the second question, the acid dissociation constant for a 0.010 M nitrous acid solution with a pH of 2.70 is 4.97 x 10^-4. This indicates that nitrous acid is a weak acid, as its K_a value is relatively small. This means that only a small fraction of the acid molecules dissociate into hydronium and nitrite ions in solution.

Understanding the pH and acid dissociation constant is important in many areas of science, including biochemistry, environmental science, and chemical engineering. These concepts help us understand the behavior of acids and bases in solution and their impact on various processes and systems.
 

What is pH?

pH is a measure of the acidity or basicity of a solution. It is determined by the concentration of hydrogen ions (H+) in the solution, with low pH values indicating high acidity and high pH values indicating high basicity.

How is pH related to the acid dissociation constant?

The acid dissociation constant, also known as Ka, is a measure of the strength of an acid in a solution. It is directly related to pH through the equation pH = -log(Ka). This means that as the Ka value increases, the pH decreases, indicating a stronger acid.

What is the significance of the acid dissociation constant?

The acid dissociation constant is important because it helps to predict the behavior of acids in solution. A higher Ka value indicates a stronger acid, which will dissociate more readily and release more H+ ions into the solution. This is useful in understanding the strength of acids in different chemical reactions.

Can the acid dissociation constant change?

Yes, the acid dissociation constant can change depending on the temperature, pressure, and concentration of the solution. Higher temperatures and pressures can increase the dissociation of an acid, resulting in a higher Ka value. Similarly, a higher concentration of the acid will also result in a higher Ka value.

How is the acid dissociation constant experimentally determined?

The acid dissociation constant can be determined experimentally by measuring the concentrations of the acid and its conjugate base at equilibrium in a solution. These values can then be used to calculate the Ka value using the equation Ka = [H+][A-]/[HA], where [H+] is the concentration of hydrogen ions, [A-] is the concentration of the conjugate base, and [HA] is the concentration of the acid.

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