MHT-CET
Q. What is the Nernst equation for a cell at 298 K with E° = 0.77 V and [Zn²⁺] = 0.01 M?
A.
E = 0.77 - 0.0591 log(0.01)
B.
E = 0.77 + 0.0591 log(0.01)
C.
E = 0.77 - 0.0591 log(100)
D.
E = 0.77 + 0.0591 log(100)
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Solution
Using the Nernst equation: E = E° - (0.0591/n) log([Zn²⁺]), where n=2.
Correct Answer: A — E = 0.77 - 0.0591 log(0.01)
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Q. What is the Nernst equation used for calculating the cell potential at non-standard conditions? (2023)
A.
E = E° - (RT/nF)lnQ
B.
E = E° + (RT/nF)lnQ
C.
E = E° - (nF/RT)lnQ
D.
E = E° + (nF/RT)lnQ
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Solution
The Nernst equation is E = E° - (RT/nF)lnQ, where E is the cell potential, E° is the standard potential, R is the gas constant, T is the temperature, n is the number of moles of electrons, and F is Faraday's constant.
Correct Answer: A — E = E° - (RT/nF)lnQ
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Q. What is the Nernst equation used for? (2023) 2023
A.
Calculating pH
B.
Determining cell potential
C.
Measuring current
D.
Finding resistance
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Solution
The Nernst equation is used to determine the cell potential under non-standard conditions.
Correct Answer: B — Determining cell potential
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Q. What is the net force acting on a 12 kg object moving with a constant velocity? (2023)
A.
0 N
B.
12 N
C.
24 N
D.
36 N
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Solution
According to Newton's first law, if the object is moving with constant velocity, the net force is 0 N.
Correct Answer: A — 0 N
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Q. What is the normality of a solution containing 3 moles of H2SO4 in 1 liter of solution? (2022) 2022
A.
3 N
B.
6 N
C.
1.5 N
D.
0.5 N
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Solution
Normality (N) = n * molarity, where n = number of equivalents. For H2SO4, n = 2. Thus, N = 2 * 3 M = 6 N.
Correct Answer: B — 6 N
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Q. What is the number of moles in 10 grams of H2? (2020)
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Solution
Molar mass of H2 = 2 g/mol. Number of moles = mass/molar mass = 10 g / 2 g/mol = 5 moles.
Correct Answer: A — 0.5
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Q. What is the number of moles in 10 grams of hydrogen gas (H2)? (2019)
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Solution
Molar mass of H2 = 2 g/mol. Number of moles = 10g/2g/mol = 5 moles.
Correct Answer: B — 0.5
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Q. What is the number of moles in 250 mL of a 2 M NaCl solution? (2021)
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Solution
Moles = Molarity x Volume (L) = 2 M x 0.250 L = 0.5 moles.
Correct Answer: A — 0.5
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Q. What is the number of moles in 44 grams of carbon dioxide (CO2)? (2023)
A.
1 mole
B.
2 moles
C.
0.5 moles
D.
0.25 moles
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Solution
The molar mass of CO2 is 44 g/mol. Therefore, 44 g of CO2 corresponds to 1 mole.
Correct Answer: A — 1 mole
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Q. What is the number of moles in 44 grams of CO2? (2021) 2021
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Solution
Molar mass of CO2 = 12 + 16*2 = 44 g/mol. Number of moles = mass/molar mass = 44g/44g/mol = 1 mole.
Correct Answer: A — 1
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Q. What is the number of moles in 500 mL of a 2 M NaCl solution? (2023)
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Solution
Moles = Molarity x Volume (L) = 2 moles/L x 0.5 L = 1 mole.
Correct Answer: A — 1
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Q. What is the oxidation state of chlorine in NaClO3? (2022) 2022
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Solution
In NaClO3, the oxidation state of chlorine is +5. Sodium is +1 and each oxygen is -2, leading to the equation: +1 + x + 3(-2) = 0, solving gives x = +5.
Correct Answer: C — +5
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Q. What is the oxidation state of chromium in K2Cr2O7? (2021) 2021
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Solution
In K2Cr2O7, the total charge from potassium (K) is +2, and oxygen (O) contributes -14. Let the oxidation state of Cr be x. The equation is 2x - 14 + 2 = 0, solving gives x = +6.
Correct Answer: B — +6
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Q. What is the oxidation state of nitrogen in NH4+? (2020) 2020
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Solution
In NH4+, nitrogen has an oxidation state of -3. Each hydrogen is +1, leading to the equation: x + 4(+1) = +1, solving gives x = -3.
Correct Answer: A — -3
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Q. What is the oxidation state of phosphorus in phosphoric acid (H3PO4)? (2020) 2020
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Solution
In H3PO4, phosphorus has an oxidation state of +5.
Correct Answer: B — +5
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Q. What is the oxidation state of sulfur in H2SO4? (2021) 2021
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Solution
In H2SO4, the oxidation state of sulfur is +6. Each hydrogen is +1 and each oxygen is -2, leading to the equation: 2(+1) + x + 4(-2) = 0, solving gives x = +6.
Correct Answer: A — +6
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Q. What is the oxidation state of sulfur in H2SO4? (2023) 2023
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Solution
In H2SO4, the oxidation state of sulfur is +6.
Correct Answer: C — +6
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Q. What is the particular solution of dy/dx = 4y with the initial condition y(0) = 2?
A.
y = 2e^(4x)
B.
y = e^(4x)
C.
y = 4e^(4x)
D.
y = 2e^(x)
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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)
A.
15%
B.
17.65%
C.
20%
D.
25%
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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)
A.
10%
B.
15%
C.
20%
D.
25%
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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)
A.
10%
B.
20%
C.
5%
D.
15%
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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)
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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)
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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
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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)
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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)?
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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