Engineering Entrance
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
Show solution
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
Learn More →
Q. What is the maximum area of a triangle with a base of 10 cm and height as a function of x? (2020)
Show solution
Solution
Area = 1/2 * base * height = 1/2 * 10 * x. Max area occurs when x = 10, giving Area = 50.
Correct Answer: B — 50
Learn More →
Q. What is the maximum number of electrons in the d subshell? (2022) 2022
Show solution
Solution
The d subshell can hold a maximum of 10 electrons.
Correct Answer: C — 10
Learn More →
Q. What is the maximum number of electrons in the f-subshell? (2022)
Show solution
Solution
The f-subshell can hold a maximum of 14 electrons.
Correct Answer: C — 14
Learn More →
Q. What is the maximum number of electrons that can occupy the n=3 shell? (2021) 2021
Show solution
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
Learn More →
Q. What is the maximum number of electrons that can occupy the n=3 shell? (2022) 2022
Show solution
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
Learn More →
Q. What is the maximum oxidation state of phosphorus in its compounds? (2021)
Show solution
Solution
Phosphorus can exhibit a maximum oxidation state of +5 in compounds like PCl5.
Correct Answer: B — +5
Learn More →
Q. What is the maximum profit if the profit function is P(x) = -x^2 + 10x - 16? (2021)
Show solution
Solution
The maximum profit occurs at x = -b/(2a) = 10/2 = 5. P(5) = -5^2 + 10*5 - 16 = 9.
Correct Answer: C — 8
Learn More →
Q. What is the maximum value of f(x) = -x^2 + 4x + 1? (2023)
Show solution
Solution
The vertex occurs at x = 2. f(2) = -2^2 + 4(2) + 1 = 5.
Correct Answer: A — 5
Learn More →
Q. What is the maximum value of f(x) = -x^2 + 6x - 8? (2023)
Show solution
Solution
The vertex occurs at x = 3. f(3) = -9 + 18 - 8 = 1.
Correct Answer: C — 6
Learn More →
Q. What is the minimum value of f(x) = 3x^2 - 12x + 9? (2022)
Show solution
Solution
The vertex occurs at x = 2. f(2) = 3(2^2) - 12(2) + 9 = 0.
Correct Answer: B — 1
Learn More →
Q. What is the minimum value of f(x) = x^2 - 4x + 5? (2020)
Show solution
Solution
The vertex form gives the minimum at x = 2. f(2) = 2.
Correct Answer: A — 1
Learn More →
Q. What is the minimum value of f(x) = x^2 - 4x + 6? (2022)
Show solution
Solution
The vertex occurs at x = 2. f(2) = 2.
Correct Answer: B — 3
Learn More →
Q. What is the minimum value of f(x) = x^2 - 6x + 10? (2020)
Show solution
Solution
The vertex form gives the minimum at x = 3. f(3) = 3^2 - 6(3) + 10 = 1.
Correct Answer: A — 4
Learn More →
Q. What is the minimum value of the function f(x) = 4x^2 - 16x + 20? (2021) 2021
Show solution
Solution
The vertex occurs at x = 2. f(2) = 4(2^2) - 16(2) + 20 = 4.
Correct Answer: B — 5
Learn More →
Q. What is the modulus of the complex number 3 + 4i? (2023)
Show solution
Solution
The modulus is calculated as √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
Correct Answer: A — 5
Learn More →
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
Show solution
Solution
Molality (m) = moles of solute / kg of solvent = 10 moles / 5 kg = 2 m.
Correct Answer: A — 2 m
Learn More →
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
Show solution
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
Learn More →
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
Show solution
Solution
Molarity (M) = moles of solute / liters of solution = 5 moles / 2 L = 2.5 M.
Correct Answer: A — 2.5 M
Learn More →
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
Show solution
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
Learn More →
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
Show solution
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
Learn More →
Q. What is the molecular formula of Benzoic acid?
A.
C6H5COOH
B.
C7H6O2
C.
C6H6O
D.
C6H4O2
Show solution
Solution
The molecular formula of Benzoic acid is C7H6O2.
Correct Answer: B — C7H6O2
Learn More →
Q. What is the molecular formula of butan-2-one?
A.
C4H8O
B.
C4H10O
C.
C4H6O
D.
C4H12O
Show solution
Solution
The molecular formula of butan-2-one is C4H8O.
Correct Answer: A — C4H8O
Learn More →
Q. What is the molecular formula of butanoic acid?
A.
C3H6O2
B.
C4H8O2
C.
C5H10O2
D.
C6H12O2
Show solution
Solution
The molecular formula of butanoic acid is C4H8O2.
Correct Answer: B — C4H8O2
Learn More →
Q. What is the molecular formula of formaldehyde?
A.
C2H4O
B.
CH2O
C.
C3H6O
D.
C4H8O
Show solution
Solution
The molecular formula of formaldehyde is CH2O.
Correct Answer: B — CH2O
Learn More →
Q. What is the molecular formula of glucose? (2022)
A.
C6H12O6
B.
C5H10O5
C.
C6H10O5
D.
C6H14O6
Show solution
Solution
Glucose is a simple sugar with the molecular formula C6H12O6.
Correct Answer: A — C6H12O6
Learn More →
Q. What is the molecular formula of glucose? (2022) 2022
A.
C6H12O6
B.
C5H10O5
C.
C6H10O5
D.
C6H14O6
Show solution
Solution
Glucose is a simple sugar with the molecular formula C6H12O6.
Correct Answer: A — C6H12O6
Learn More →
Q. What is the momentum of a 3 kg object moving at a velocity of 4 m/s? (2017)
A.
12 kg·m/s
B.
7 kg·m/s
C.
15 kg·m/s
D.
10 kg·m/s
Show solution
Solution
Momentum (p) = mass × velocity = 3 kg × 4 m/s = 12 kg·m/s.
Correct Answer: A — 12 kg·m/s
Learn More →
Q. What is the monomer of polyethylene?
A.
Ethylene
B.
Propylene
C.
Butylene
D.
Styrene
Show solution
Solution
Polyethylene is made from the polymerization of ethylene monomers.
Correct Answer: A — Ethylene
Learn More →
Q. What is the monomer of polystyrene?
A.
Ethylene
B.
Styrene
C.
Propylene
D.
Vinyl chloride
Show solution
Solution
The monomer of polystyrene is styrene, which polymerizes to form polystyrene.
Correct Answer: B — Styrene
Learn More →
Showing 931 to 960 of 1443 (49 Pages)