Undergraduate
Q. What is the mass of 3 moles of sodium chloride (NaCl)? (2023)
A.
58.5 g
B.
117 g
C.
175.5 g
D.
29.25 g
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Solution
The molar mass of NaCl is 58.5 g/mol. Therefore, 3 moles of NaCl weigh 3 x 58.5 g = 175.5 g.
Correct Answer: B — 117 g
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Q. What is the mass of NaOH required to prepare 0.5 L of a 1 M solution? (2023)
A.
20 g
B.
40 g
C.
10 g
D.
30 g
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Solution
Molar mass of NaOH = 40 g/mol; grams = moles × molar mass = (1 mole/L × 0.5 L) × 40 g/mol = 20 g
Correct Answer: B — 40 g
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Q. What is the mass of solute in grams in a 3 M solution of NaCl in 1 L of solution? (2023)
A.
58.44 g
B.
174.32 g
C.
29.22 g
D.
87.16 g
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Solution
Molar mass of NaCl = 58.44 g/mol; mass = moles × molar mass = 3 moles × 58.44 g/mol = 175.32 g
Correct Answer: B — 174.32 g
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Q. What is the mass of solute in grams required to make 1 L of a 0.1 M solution of NaCl? (Molar mass of NaCl = 58.5 g/mol) (2021)
A.
5.85 g
B.
10 g
C.
1 g
D.
2 g
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Solution
Mass = moles × molar mass = (0.1 moles/L × 1 L) × 58.5 g/mol = 5.85 g.
Correct Answer: A — 5.85 g
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Q. What is the mass of solute in grams required to make 1 L of a 0.5 M NaOH solution? (2021)
A.
20 g
B.
40 g
C.
10 g
D.
30 g
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Solution
Molar mass of NaOH = 40 g/mol. Mass = moles × molar mass = 0.5 moles × 40 g/mol = 20 g.
Correct Answer: B — 40 g
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Q. What is the maximum area of a triangle with a base of 10 cm and height as a function of x? (2020)
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Solution
Area = 1/2 * base * height = 1/2 * 10 * x. Max area occurs when x = 10, giving Area = 50.
Correct Answer: B — 50
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Q. What is the maximum number of electrons in the d subshell? (2022) 2022
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Solution
The d subshell can hold a maximum of 10 electrons.
Correct Answer: C — 10
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Q. What is the maximum number of electrons in the f-subshell? (2022)
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Solution
The f-subshell can hold a maximum of 14 electrons.
Correct Answer: C — 14
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Q. What is the maximum number of electrons that can occupy the n=3 energy level in an atom? (2021)
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Solution
The maximum number of electrons in an energy level is given by the formula 2n². For n=3, it is 2(3)² = 18.
Correct Answer: C — 18
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Q. What is the maximum number of electrons that can occupy the n=3 shell? (2021) 2021
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Solution
The maximum number of electrons in a shell is given by the formula 2n². For n=3, it is 2(3)² = 18.
Correct Answer: C — 18
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Q. What is the maximum number of electrons that can occupy the n=3 shell? (2022) 2022
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Solution
The maximum number of electrons in a shell is given by the formula 2n². For n=3, it is 2(3)² = 18.
Correct Answer: C — 18
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Q. What is the maximum oxidation state of phosphorus in its compounds? (2021)
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Solution
Phosphorus can exhibit a maximum oxidation state of +5 in compounds like PCl5.
Correct Answer: B — +5
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Q. What is the maximum profit if the profit function is P(x) = -x^2 + 10x - 16? (2021)
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Solution
The maximum profit occurs at x = -b/(2a) = 10/2 = 5. P(5) = -5^2 + 10*5 - 16 = 9.
Correct Answer: C — 8
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Q. What is the maximum value of f(x) = -x^2 + 4x + 1? (2023)
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Solution
The vertex occurs at x = 2. f(2) = -2^2 + 4(2) + 1 = 5.
Correct Answer: A — 5
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Q. What is the maximum value of f(x) = -x^2 + 6x - 8? (2023)
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Solution
The vertex occurs at x = 3. f(3) = -9 + 18 - 8 = 1.
Correct Answer: C — 6
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Q. What is the minimum value of f(x) = 3x^2 - 12x + 9? (2022)
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Solution
The vertex occurs at x = 2. f(2) = 3(2^2) - 12(2) + 9 = 0.
Correct Answer: B — 1
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Q. What is the minimum value of f(x) = x^2 - 4x + 5? (2020)
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Solution
The vertex form gives the minimum at x = 2. f(2) = 2.
Correct Answer: A — 1
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Q. What is the minimum value of f(x) = x^2 - 4x + 6? (2022)
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Solution
The vertex occurs at x = 2. f(2) = 2.
Correct Answer: B — 3
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Q. What is the minimum value of f(x) = x^2 - 6x + 10? (2020)
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Solution
The vertex form gives the minimum at x = 3. f(3) = 3^2 - 6(3) + 10 = 1.
Correct Answer: A — 4
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Q. What is the minimum value of the function f(x) = 4x^2 - 16x + 20? (2021) 2021
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Solution
The vertex occurs at x = 2. f(2) = 4(2^2) - 16(2) + 20 = 4.
Correct Answer: B — 5
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Q. What is the modulus of the complex number 3 + 4i? (2023)
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Solution
The modulus is calculated as √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
Correct Answer: A — 5
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Q. What is the molality of a solution made by dissolving 10 moles of solute in 5 kg of solvent? (2022)
A.
2 m
B.
1 m
C.
0.5 m
D.
3 m
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Solution
Molality (m) = moles of solute / kg of solvent = 10 moles / 5 kg = 2 m.
Correct Answer: A — 2 m
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Q. What is the molar mass of water (H2O)? (2023) 2023
A.
16 g/mol
B.
18 g/mol
C.
20 g/mol
D.
22 g/mol
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Solution
The molar mass of water is calculated as follows: H (1 g/mol) x 2 + O (16 g/mol) = 2 + 16 = 18 g/mol.
Correct Answer: B — 18 g/mol
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Q. What is the molarity of a solution containing 5 moles of solute in 2 liters of solution? (2021) 2021
A.
2.5 M
B.
5 M
C.
10 M
D.
1 M
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Solution
Molarity (M) = moles of solute / liters of solution = 5 moles / 2 L = 2.5 M.
Correct Answer: A — 2.5 M
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Q. What is the molarity of a solution containing 58.5 g of NaCl in 1 liter of solution? (2021)
A.
1 M
B.
0.5 M
C.
2 M
D.
0.1 M
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Solution
Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 58.5 g / 58.5 g/mol = 1 mol. Therefore, M = 1 mol / 1 L = 1 M.
Correct Answer: A — 1 M
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Q. What is the molarity of a solution prepared by dissolving 5 grams of NaCl in enough water to make 250 mL of solution? (Molar mass of NaCl = 58.5 g/mol) (2023)
A.
0.34 M
B.
0.42 M
C.
0.25 M
D.
0.50 M
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Solution
Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 5 g / 58.5 g/mol = 0.0855 moles. Volume of solution = 250 mL = 0.250 L. M = 0.0855 moles / 0.250 L = 0.342 M, approximately 0.34 M.
Correct Answer: A — 0.34 M
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Q. What is the molecular formula of Benzoic acid?
A.
C6H5COOH
B.
C7H6O2
C.
C6H6O
D.
C6H4O2
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Solution
The molecular formula of Benzoic acid is C7H6O2.
Correct Answer: B — C7H6O2
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Q. What is the molecular formula of butan-2-one?
A.
C4H8O
B.
C4H10O
C.
C4H6O
D.
C4H12O
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Solution
The molecular formula of butan-2-one is C4H8O.
Correct Answer: A — C4H8O
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Q. What is the molecular formula of butanoic acid?
A.
C3H6O2
B.
C4H8O2
C.
C5H10O2
D.
C6H12O2
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Solution
The molecular formula of butanoic acid is C4H8O2.
Correct Answer: B — C4H8O2
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Q. What is the molecular formula of cyclohexane? (2022)
A.
C6H12
B.
C6H10
C.
C6H14
D.
C6H6
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Solution
Cyclohexane is a cyclic alkane with the formula C6H12.
Correct Answer: A — C6H12
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