MHT-CET
Q. What is the particular solution of dy/dx = 4y with the initial condition y(0) = 2?
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A.
y = 2e^(4x)
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B.
y = e^(4x)
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C.
y = 4e^(4x)
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D.
y = 2e^(x)
Solution
The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).
Correct Answer: A — y = 2e^(4x)
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Q. What is the percentage by mass of a solution containing 15 grams of solute in 85 grams of solvent? (2021)
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A.
15%
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B.
17.65%
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C.
20%
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D.
25%
Solution
Percentage by mass = (mass of solute / total mass) × 100 = (15 g / (15 g + 85 g)) × 100 = 17.65%.
Correct Answer: B — 17.65%
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Q. What is the percentage concentration of a solution containing 15 g of solute in 150 g of solution? (2023)
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A.
10%
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B.
15%
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C.
20%
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D.
25%
Solution
Percentage concentration = (mass of solute / mass of solution) × 100 = (15 g / 150 g) × 100 = 10%
Correct Answer: B — 15%
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Q. What is the percentage concentration of a solution containing 20 g of solute in 200 g of solution? (2021)
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A.
10%
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B.
20%
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C.
5%
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D.
15%
Solution
Percentage concentration = (mass of solute / mass of solution) × 100 = (20 g / 200 g) × 100 = 10%.
Correct Answer: A — 10%
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Q. What is the period number of Argon? (2020)
Solution
Argon is located in Period 3 of the periodic table.
Correct Answer: C — 4
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Q. What is the period number of Lithium in the periodic table? (2022)
Solution
Lithium is located in period 2 of the periodic table.
Correct Answer: B — 2
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Q. What is the period number of Lithium? (2016) 2016
Solution
Lithium is located in period 2 of the periodic table.
Correct Answer: B — 2
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Q. What is the period number of Sodium in the periodic table? (2017)
Solution
Sodium is in period 3 of the periodic table.
Correct Answer: C — 3
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Q. What is the pH of a 0.001 M acetic acid solution (Ka = 1.8 x 10^-5)?
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A.
2.87
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B.
3.87
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C.
4.87
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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)?
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A.
1.0
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B.
2.0
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C.
3.0
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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)
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A.
2.9
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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
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A.
5.10
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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?
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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)?
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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
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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)
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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
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B.
5.00
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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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