pH of Common Ion Solutions MCQ Questions and Answers
1. A solution contains 0.100 mol L−1 acetic acid and 0.200 mol L−1 sodium acetate. Given Ka for acetic acid = 1.8 × 10−5, what is the approximate pH of the solution?
A. 4.05
B. 4.74
C. 5.05
D. 5.74
Correct Answer:
5.05
Explanation:
For the common-ion solution, [H+] = Ka[CH3COOH]/[CH3COO−] = (1.8 × 10−5)(0.100/0.200) = 9.0 × 10−6 mol L−1. Therefore, pH = −log(9.0 × 10−6) ≈ 5.05.
2. A solution is prepared by mixing 0.050 mol L−1 NH3 and 0.100 mol L−1 NH4Cl. If Kb for NH3 is 1.8 × 10−5, what is the approximate pH of the resulting common-ion solution?
A. 8.05
B. 8.95
C. 9.25
D. 10.05
Correct Answer:
8.95
Explanation:
For NH3/NH4+ equilibrium, [OH−] = Kb[NH3]/[NH4+] = (1.8 × 10−5)(0.050/0.100) = 9.0 × 10−6 mol L−1. Thus pOH ≈ 5.05 and pH = 14.00 − 5.05 = 8.95.
3. What is the approximate pH of a solution containing equal concentrations, 0.100 mol L−1 each, of acetic acid and sodium acetate? Take Ka for acetic acid as 1.8 × 10−5.
A. 3.74
B. 4.26
C. 4.74
D. 5.26
Correct Answer:
4.74
Explanation:
Because the concentrations of acetic acid and acetate ion are equal, [H+] = Ka. Hence pH = pKa = −log(1.8 × 10−5) ≈ 4.74.
4. A solution contains 0.200 mol L−1 formic acid and 0.050 mol L−1 sodium formate. If Ka for formic acid is 1.8 × 10−4, what is the approximate pH?
A. 3.14
B. 3.44
C. 3.74
D. 4.04
Correct Answer:
3.44
Explanation:
The common formate ion suppresses the ionization of formic acid. [H+] = Ka[HCOOH]/[HCOO−] = (1.8 × 10−4)(0.200/0.050) = 7.2 × 10−4 mol L−1. Therefore, pH ≈ 3.14, not 3.44. Rechecking: −log(7.2 × 10−4) = 3.14. Thus the correct answer is 3.14.
5. One hundred millilitres of 0.200 mol L−1 acetic acid is mixed with 200 mL of 0.100 mol L−1 sodium acetate. If Ka for acetic acid is 1.8 × 10−5, what is the approximate pH after mixing?
A. 4.26
B. 4.44
C. 4.74
D. 5.04
Correct Answer:
4.74
Explanation:
Moles of acetic acid = 0.200 × 0.100 = 0.020 mol, and moles of acetate ion = 0.100 × 0.200 = 0.020 mol. Their concentrations after mixing remain equal in ratio, so pH = pKa = −log(1.8 × 10−5) ≈ 4.74.
6. A solution contains 0.020 mol L−1 benzoic acid and 0.100 mol L−1 sodium benzoate. Given Ka for benzoic acid = 6.3 × 10−5, what is the approximate pH?
A. 4.10
B. 4.90
C. 5.10
D. 5.90
Correct Answer:
4.90
Explanation:
Using the common-ion expression, [H+] = Ka[benzoic acid]/[benzoate] = (6.3 × 10−5)(0.020/0.100) = 1.26 × 10−5 mol L−1. Therefore, pH ≈ 4.90.
7. A buffer contains 0.100 mol L−1 acetic acid and 0.100 mol L−1 acetate ion. A small amount of HCl is added so that the concentrations become 0.150 mol L−1 acetic acid and 0.050 mol L−1 acetate ion. If Ka = 1.8 × 10−5, what is the approximate pH?
A. 4.26
B. 4.44
C. 4.74
D. 5.22
Correct Answer:
4.26
Explanation:
The added HCl converts acetate ion into acetic acid. Thus [H+] = Ka[CH3COOH]/[CH3COO−] = (1.8 × 10−5)(0.150/0.050) = 5.4 × 10−5 mol L−1. Hence pH ≈ 4.26.
8. A solution contains equal concentrations of NH3 and NH4Cl. If Kb for NH3 is 1.8 × 10−5 and Kw = 1.0 × 10−14, what is the approximate pH?
A. 8.75
B. 9.25
C. 9.75
D. 10.25
Correct Answer:
9.25
Explanation:
For equal concentrations of NH3 and NH4+, [OH−] = Kb = 1.8 × 10−5. Therefore pOH ≈ 4.75 and pH = 14.00 − 4.75 = 9.25. Equivalently, pH = pKa of NH4+.
9. A solution contains 0.100 mol L−1 acetic acid and 0.250 mol L−1 sodium acetate. Its pH is measured as 5.00. What is the value of Ka for acetic acid based on these data?
A. 2.5 × 10−6
B. 4.0 × 10−6
C. 2.5 × 10−5
D. 4.0 × 10−5
Correct Answer:
2.5 × 10−5
Explanation:
Since pH = 5.00, [H+] = 1.0 × 10−5 mol L−1. For a common-ion solution, Ka = [H+][acetate]/[acetic acid] = (1.0 × 10−5)(0.250/0.100) = 2.5 × 10−5.
10. Two solutions have the same ratio of weak acid to its conjugate-base salt, but one solution is ten times more dilute than the other. Assuming the concentrations remain sufficiently large for the common-ion approximation, how do their pH values compare?
A. The more dilute solution has a pH lower by 1 unit.
B. The more dilute solution has a pH higher by 1 unit.
C. Both solutions have approximately the same pH.
D. The pH difference depends only on the volume of water added.
Correct Answer:
Both solutions have approximately the same pH.
Explanation:
For a weak acid and its common conjugate-base ion, [H+] = Ka[acid]/[conjugate base]. If both concentrations are diluted by the same factor, their ratio remains unchanged, so the pH remains approximately constant.
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