Undergraduate
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
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?
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
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?
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?
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
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
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C.
4.0
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D.
4.7
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?
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
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C.
6.00
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D.
7.00
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
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B.
10.0
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C.
11.0
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D.
12.0
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)
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?
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
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B.
5.25
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C.
9.25
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D.
10.25
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
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B.
9.00
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C.
7.00
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D.
6.00
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)?
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
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B.
5.00
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C.
5.74
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D.
6.00
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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Q. What is the pH of a neutral solution at 25°C? (2023) 2023
Solution
At 25°C, the pH of a neutral solution is 7.
Correct Answer: B — 7
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Q. What is the pH of a solution formed by mixing 25 mL of 0.1 M HCl with 25 mL of 0.1 M NaOH? (2020) 2020
Solution
HCl and NaOH neutralize each other, resulting in a neutral solution with pH = 7.
Correct Answer: A — 7
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Q. What is the pH of a solution that is 0.01 M in both HCl and NaOH?
Solution
HCl and NaOH neutralize each other, resulting in a neutral solution with pH = 7.
Correct Answer: C — 7
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Q. What is the pH of a solution when 0.1 M of Na2CO3 is dissolved in water? (2023)
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A.
10.3
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B.
11.0
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C.
11.5
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D.
12.0
Solution
Na2CO3 is a salt of a weak acid (H2CO3) and a strong base (NaOH). The pH can be estimated using the hydrolysis of CO3^2- which gives a pH around 11.0.
Correct Answer: B — 11.0
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Q. What is the pH of a solution with 0.01 M of a weak acid with a Ka of 1.0 x 10^-5? (2023) 2023
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A.
4.00
-
B.
5.00
-
C.
3.00
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D.
6.00
Solution
Using the formula for weak acids, pH = 0.5(pKa - logC) = 0.5(4.00 - log(0.01)) = 5.00.
Correct Answer: B — 5.00
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Q. What is the pH of a solution with a hydrogen ion concentration of 0.001 M? (2022)
Solution
pH = -log[H+]. pH = -log(0.001) = 3.
Correct Answer: A — 3
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Q. What is the pH of a solution with a hydrogen ion concentration of 1 x 10^-3 M? (2019)
Solution
pH = -log[H+] = -log(1 x 10^-3) = 3.
Correct Answer: B — 3
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Q. What is the pH of a solution with [H+] = 0.00001 M?
Solution
pH = -log(0.00001) = 5.
Correct Answer: B — 6
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Q. What is the pH of a solution with [H+] = 1 x 10^-7 M? (2023)
Solution
pH = -log[H+] = -log(1 x 10^-7) = 7.
Correct Answer: A — 7
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Q. What is the phase angle in a circuit with a resistance of 30 ohms and a reactance of 40 ohms? (2021)
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A.
53.13°
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B.
36.87°
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C.
45°
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D.
60°
Solution
θ = tan⁻¹(X/R) = tan⁻¹(40/30) = 53.13°.
Correct Answer: A — 53.13°
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Q. What is the phase difference between the voltage and current in a purely resistive AC circuit? (2021)
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A.
0°
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B.
45°
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C.
90°
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D.
180°
Solution
In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.
Correct Answer: A — 0°
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Q. What is the phase difference between the voltage and current in a series RLC circuit at resonance? (2023)
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A.
0°
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B.
90°
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C.
180°
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D.
45°
Solution
At resonance in a series RLC circuit, the phase difference between voltage and current is 0°.
Correct Answer: A — 0°
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Q. What is the phase difference between two particles executing simple harmonic motion in the same direction with the same frequency? (2021)
Solution
If they have the same frequency and direction, the phase difference is 0.
Correct Answer: A — 0
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Q. What is the phase of the cell cycle where DNA is replicated? (2020)
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A.
G1 phase
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B.
S phase
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C.
G2 phase
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D.
M phase
Solution
The S phase (Synthesis phase) is where DNA replication occurs, resulting in the duplication of chromosomes.
Correct Answer: B — S phase
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