Ionic Equilibrium
Q. Calculate the pH of a 0.01 M solution of NaHCO3. (2023)
A.
8.3
B.
9.0
C.
7.5
D.
8.0
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Solution
NaHCO3 is a weak base. The pH can be calculated using the formula pH = 7 + 0.5(pKa - log[C]). pKa of HCO3- is about 10.3, so pH ≈ 8.3.
Correct Answer: A — 8.3
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Q. Calculate the pH of a 0.05 M NH4Cl solution (Kb for NH3 = 1.8 x 10^-5).
A.
4.75
B.
5.25
C.
5.75
D.
6.25
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Solution
Using the formula for weak bases, pH = 14 - 0.5(pKb - logC) = 14 - 0.5(4.74 - log(0.05)) = 5.25.
Correct Answer: B — 5.25
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Q. Calculate the pH of a 0.1 M NaOH solution.
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Solution
pOH = -log[OH-] = -log(0.1) = 1, thus pH = 14 - pOH = 14 - 1 = 13.
Correct Answer: C — 14
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Q. Calculate the pH of a 0.2 M solution of KOH.
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Solution
pOH = -log(0.2) = 0.7, thus pH = 14 - 0.7 = 13.3.
Correct Answer: B — 13
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Q. If 0.1 M acetic acid (CH3COOH) is 1% ionized, what is the concentration of H+ ions?
A.
0.001 M
B.
0.01 M
C.
0.1 M
D.
0.2 M
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Solution
Ionization = 1% of 0.1 M = 0.001 M, so [H+] = 0.001 M.
Correct Answer: B — 0.01 M
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Q. If 0.1 M acetic acid has a pH of 2.87, what is the concentration of H+ ions?
A.
0.001 M
B.
0.01 M
C.
0.1 M
D.
0.5 M
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Solution
[H+] = 10^(-pH) = 10^(-2.87) ≈ 0.001 M.
Correct Answer: B — 0.01 M
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Q. If 50 mL of 0.1 M H2SO4 is diluted to 250 mL, what is the new concentration?
A.
0.02 M
B.
0.04 M
C.
0.1 M
D.
0.5 M
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Solution
C1V1 = C2V2; (0.1 M)(50 mL) = C2(250 mL); C2 = 0.02 M.
Correct Answer: B — 0.04 M
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Q. If the pH of a solution is 3, what is the concentration of H+ ions? (2023)
A.
0.001 M
B.
0.01 M
C.
0.1 M
D.
0.0001 M
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Solution
pH = 3 means [H+] = 10^-3 M = 0.001 M.
Correct Answer: B — 0.01 M
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Q. If the pKa of acetic acid is 4.76, what is the pH of a 0.1 M solution?
A.
4.76
B.
5.76
C.
6.76
D.
3.76
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Solution
For a weak acid, pH ≈ pKa for a 0.1 M solution, so pH ≈ 4.76.
Correct Answer: A — 4.76
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Q. In a buffer solution, which component resists changes in pH? (2020)
A.
Strong acid
B.
Weak acid and its salt
C.
Strong base
D.
Water
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Solution
A buffer solution typically consists of a weak acid and its conjugate base (salt), which helps to resist changes in pH when small amounts of acid or base are added.
Correct Answer: B — Weak acid and its salt
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Q. What is the concentration of H+ ions in a solution with pH 3? (2019) 2019
A.
0.001 M
B.
0.01 M
C.
0.1 M
D.
1 M
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Solution
Concentration of H+ = 10^(-pH) = 10^(-3) = 0.001 M.
Correct Answer: B — 0.01 M
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Q. What is the concentration of H+ ions in a solution with pH 4?
A.
0.0001 M
B.
0.01 M
C.
0.1 M
D.
1 M
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Solution
[H+] = 10^(-pH) = 10^(-4) = 0.0001 M.
Correct Answer: A — 0.0001 M
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Q. What is the Ksp expression for the salt AgCl? (2023)
A.
[Ag+][Cl-]
B.
[AgCl]
C.
[Ag+][Cl-]^2
D.
[AgCl]^2
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Solution
The solubility product constant (Ksp) for AgCl is expressed as Ksp = [Ag+][Cl-], where [Ag+] and [Cl-] are the molar concentrations of the ions in a saturated solution.
Correct Answer: A — [Ag+][Cl-]
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Q. What is the Ksp of AgCl if the solubility of AgCl in water is 1.33 x 10^-5 M? (2023)
A.
1.78 x 10^-10
B.
1.33 x 10^-5
C.
1.33 x 10^-10
D.
1.78 x 10^-5
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Solution
Ksp = [Ag+][Cl-] = (1.33 x 10^-5)(1.33 x 10^-5) = 1.78 x 10^-10.
Correct Answer: A — 1.78 x 10^-10
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Q. What is the pH of a 0.001 M acetic acid solution (Ka = 1.8 x 10^-5)?
A.
2.87
B.
3.87
C.
4.87
D.
5.87
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Solution
Using the formula for weak acids, pH = 0.5(pKa - logC) = 0.5(4.74 - log(0.001)) = 3.87.
Correct Answer: B — 3.87
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Q. What is the pH of a 0.001 M solution of hydrochloric acid?
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Solution
pH = -log(0.001) = 3.
Correct Answer: A — 3
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Q. What is the pH of a 0.01 M HCl solution? (2021) 2021
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Solution
For a strong acid like HCl, pH = -log[H+] = -log(0.01) = 2.
Correct Answer: A — 1
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Q. What is the pH of a 0.01 M solution of Na2CO3?
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Solution
Na2CO3 is a basic salt, pH is approximately 11.5.
Correct Answer: C — 12
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Q. What is the pH of a 0.01 M solution of NaOH?
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Solution
pOH = -log(0.01) = 2; pH = 14 - pOH = 14 - 2 = 12.
Correct Answer: B — 13
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Q. What is the pH of a 0.01 M solution of phosphoric acid (H3PO4)?
A.
1.0
B.
2.0
C.
3.0
D.
4.0
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Solution
H3PO4 is a triprotic acid; for a dilute solution, the first dissociation dominates, giving pH ≈ 2.
Correct Answer: B — 2.0
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Q. What is the pH of a 0.05 M acetic acid solution (Ka = 1.8 x 10^-5)? (2023)
A.
2.9
B.
3.1
C.
4.0
D.
4.7
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Solution
Using the formula for weak acids, pH = 0.5(pKa - log[C]) where pKa = -log(1.8 x 10^-5) ≈ 4.74. pH = 0.5(4.74 - log(0.05)) ≈ 4.7.
Correct Answer: D — 4.7
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Q. What is the pH of a 0.05 M solution of NaCl?
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Solution
NaCl is a neutral salt, so the pH remains 7.
Correct Answer: A — 7
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Q. What is the pH of a 0.1 M solution of ammonium chloride (NH4Cl)? (2019) 2019
A.
5.10
B.
4.75
C.
6.00
D.
7.00
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Solution
NH4Cl is a salt of a weak base and strong acid, pH < 7. Calculate using hydrolysis: pH ≈ 4.75.
Correct Answer: B — 4.75
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Q. What is the pH of a 0.1 M solution of K2CO3?
A.
9.0
B.
10.0
C.
11.0
D.
12.0
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Solution
K2CO3 is a salt of a weak acid (H2CO3) and strong base (KOH), resulting in a basic solution with pH around 10.
Correct Answer: B — 10.0
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Q. What is the pH of a 0.1 M solution of K2SO4? (2023)
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Solution
K2SO4 is a neutral salt formed from a strong acid (H2SO4) and a strong base (KOH). Therefore, the pH of the solution is 7.
Correct Answer: A — 7
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Q. What is the pH of a 0.1 M solution of NH4Cl?
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Solution
NH4Cl is an acidic salt, pH is approximately 5.1.
Correct Answer: B — 6
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Q. What is the pH of a 0.1 M solution of sodium acetate (Ka for acetic acid = 1.8 x 10^-5)?
A.
4.75
B.
5.25
C.
9.25
D.
10.25
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Solution
Using the formula for salt of weak acid, pH = 14 + 0.5(pKa + logC) = 14 + 0.5(4.74 + log(0.1)) = 9.25.
Correct Answer: C — 9.25
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Q. What is the pH of a 0.1 M solution of sodium bicarbonate (NaHCO3)? (2022) 2022
A.
8.00
B.
9.00
C.
7.00
D.
6.00
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Solution
NaHCO3 is a weak base, pH ≈ 8.00 due to its bicarbonate ion acting as a weak base.
Correct Answer: A — 8.00
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Q. What is the pH of a 0.1 M solution of sulfuric acid (H2SO4)?
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Solution
H2SO4 is a strong acid; it dissociates completely, so [H+] = 0.1 M; pH = -log(0.1) = 1.
Correct Answer: B — 2
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Q. What is the pH of a buffer solution made from 0.1 M acetic acid and 0.1 M sodium acetate? (2023)
A.
4.74
B.
5.00
C.
5.74
D.
6.00
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Solution
Using the Henderson-Hasselbalch equation, pH = pKa + log([A-]/[HA]) = 4.74 + log(1) = 4.74.
Correct Answer: A — 4.74
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