Q. What is the mode of the following data set: 1, 1, 2, 3, 3, 3, 4, 5?
Solution
Mode = 3 (most frequent value).
Correct Answer: C — 3
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Q. What is the mode of the following data set: 1, 2, 2, 3, 4, 4, 4, 5?
Solution
The mode is 4 as it appears most frequently (3 times).
Correct Answer: C — 4
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Q. What is the mode of the following data set: 1, 2, 2, 3, 4?
Solution
Mode is the number that appears most frequently. Here, mode = 2.
Correct Answer: B — 2
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Q. What is the mode of the following data set: {1, 1, 2, 2, 3, 3, 3, 4}?
Solution
Mode is 3 as it appears most frequently (3 times).
Correct Answer: C — 3
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Q. What is the modulus of the complex number z = -3 + 4i?
Solution
The modulus |z| = √((-3)^2 + (4)^2) = √(9 + 16) = √25 = 5.
Correct Answer: A — 5
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Q. What is the molality of a solution containing 3 moles of KCl dissolved in 1 kg of water?
-
A.
3 m
-
B.
1.5 m
-
C.
2 m
-
D.
4 m
Solution
Molality (m) = moles of solute / kg of solvent = 3 moles / 1 kg = 3 m.
Correct Answer: A — 3 m
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Q. What is the molality of a solution prepared by dissolving 3 moles of KCl in 1 kg of water?
-
A.
3 m
-
B.
1.5 m
-
C.
2 m
-
D.
4 m
Solution
Molality (m) = moles of solute / kg of solvent = 3 moles / 1 kg = 3 m.
Correct Answer: A — 3 m
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Q. What is the molality of a solution prepared by dissolving 5 moles of NaCl in 2 kg of water?
-
A.
2.5 mol/kg
-
B.
5 mol/kg
-
C.
1.5 mol/kg
-
D.
3 mol/kg
Solution
Molality (m) = moles of solute / mass of solvent (kg) = 5 moles / 2 kg = 2.5 mol/kg.
Correct Answer: A — 2.5 mol/kg
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Q. What is the molar mass of CaCO3?
-
A.
100 g/mol
-
B.
120 g/mol
-
C.
80 g/mol
-
D.
60 g/mol
Solution
Molar mass of CaCO3 = 40 + 12 + 16*3 = 100 g/mol.
Correct Answer: A — 100 g/mol
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Q. What is the molar mass of sulfuric acid (H2SO4)?
-
A.
98 g/mol
-
B.
96 g/mol
-
C.
100 g/mol
-
D.
92 g/mol
Solution
Molar mass = 2*1 + 32 + 4*16 = 98 g/mol.
Correct Answer: A — 98 g/mol
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Q. What is the molar mass of the product formed when 1 mole of Mg reacts with 2 moles of HCl?
-
A.
24.3 g
-
B.
36.5 g
-
C.
58.5 g
-
D.
74.5 g
Solution
Mg + 2HCl → MgCl2 + H2. Molar mass of MgCl2 = 24.3 + 2*35.5 = 95.3 g.
Correct Answer: D — 74.5 g
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Q. What is the molar mass of the product formed when 1 mole of nitrogen reacts with 3 moles of hydrogen?
-
A.
28 g
-
B.
14 g
-
C.
32 g
-
D.
18 g
Solution
N2 + 3H2 → 2NH3. Molar mass of NH3 = 14 + 3 = 17 g.
Correct Answer: A — 28 g
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Q. What is the molar mass of water (H2O)?
-
A.
16 g/mol
-
B.
18 g/mol
-
C.
20 g/mol
-
D.
22 g/mol
Solution
The molar mass of water is calculated as follows: H (1 g/mol) x 2 + O (16 g/mol) = 18 g/mol.
Correct Answer: B — 18 g/mol
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Q. What is the molar volume of an ideal gas at standard temperature and pressure (STP)?
-
A.
22.4 L
-
B.
24.5 L
-
C.
18.0 L
-
D.
30.0 L
Solution
The molar volume of an ideal gas at STP is 22.4 L.
Correct Answer: A — 22.4 L
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Q. What is the molar volume of an ideal gas at STP (Standard Temperature and Pressure)?
-
A.
22.4 L
-
B.
24.5 L
-
C.
18.0 L
-
D.
30.0 L
Solution
The molar volume of an ideal gas at STP is 22.4 L.
Correct Answer: A — 22.4 L
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Q. What is the molar volume of an ideal gas at STP?
-
A.
22.4 L
-
B.
24.5 L
-
C.
18.0 L
-
D.
30.0 L
Solution
The molar volume of an ideal gas at standard temperature and pressure (STP) is 22.4 L.
Correct Answer: A — 22.4 L
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Q. What is the molarity of a solution containing 5 moles of solute in 2 liters of solution?
-
A.
2.5 M
-
B.
5 M
-
C.
10 M
-
D.
0.5 M
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 if 10 g of glucose (C6H12O6) is dissolved in 250 mL of water? (Molar mass = 180 g/mol)
-
A.
0.22 M
-
B.
0.5 M
-
C.
0.75 M
-
D.
1 M
Solution
Moles of glucose = 10 g / 180 g/mol = 0.0556 moles. Molarity = 0.0556 moles / 0.25 L = 0.222 M.
Correct Answer: A — 0.22 M
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Q. What is the molarity of a solution if 10 grams of CaCl2 is dissolved in 250 mL of solution? (Molar mass of CaCl2 = 110 g/mol)
-
A.
0.25 M
-
B.
0.5 M
-
C.
1 M
-
D.
2 M
Solution
Moles of CaCl2 = 10 g / 110 g/mol = 0.0909 moles. Molarity = 0.0909 moles / 0.25 L = 0.3636 M.
Correct Answer: B — 0.5 M
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Q. What is the molarity of a solution if 5 moles of solute are dissolved in 2 liters of solution?
-
A.
2.5 M
-
B.
5 M
-
C.
10 M
-
D.
0.5 M
Solution
Molarity (M) = moles of solute / liters of solution = 5 / 2 = 2.5 M
Correct Answer: A — 2.5 M
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Q. What is the molarity of a solution prepared by dissolving 5 moles of NaCl in 2 liters of water?
-
A.
2.5 M
-
B.
5 M
-
C.
10 M
-
D.
1 M
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 mole fraction of solute in a solution containing 2 moles of solute and 8 moles of solvent?
-
A.
0.2
-
B.
0.25
-
C.
0.5
-
D.
0.1
Solution
Mole fraction of solute = moles of solute / (moles of solute + moles of solvent) = 2 / (2 + 8) = 2 / 10 = 0.2.
Correct Answer: B — 0.25
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Q. What is the mole fraction of solute in a solution containing 3 moles of solute and 7 moles of solvent?
-
A.
0.3
-
B.
0.7
-
C.
0.5
-
D.
0.2
Solution
Mole fraction of solute = moles of solute / total moles = 3 / (3 + 7) = 0.3.
Correct Answer: A — 0.3
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Q. What is the molecular formula of benzene?
-
A.
C6H6
-
B.
C6H12
-
C.
C6H10
-
D.
C6H8
Solution
Benzene has the molecular formula C6H6, indicating it is an aromatic hydrocarbon.
Correct Answer: A — C6H6
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Q. What is the molecular formula of ethylene?
-
A.
C2H2
-
B.
C2H4
-
C.
C3H6
-
D.
C4H8
Solution
Ethylene is an alkene with the molecular formula C2H4.
Correct Answer: B — C2H4
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Q. What is the molecular formula of fructose?
-
A.
C6H12O6
-
B.
C5H10O5
-
C.
C6H10O5
-
D.
C5H12O6
Solution
Fructose has the same molecular formula as glucose, which is C6H12O6.
Correct Answer: A — C6H12O6
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Q. What is the molecular formula of hydrogen peroxide?
-
A.
H2O
-
B.
H2O2
-
C.
H2
-
D.
O2
Solution
Hydrogen peroxide has the molecular formula H2O2.
Correct Answer: B — H2O2
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Q. What is the molecular formula of water?
-
A.
H2O
-
B.
H2O2
-
C.
HO
-
D.
H2
Solution
The molecular formula of water is H2O.
Correct Answer: A — H2O
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Q. What is the molecular geometry of ammonia (NH3)?
-
A.
Linear
-
B.
Trigonal planar
-
C.
Tetrahedral
-
D.
Trigonal pyramidal
Solution
Ammonia has a trigonal pyramidal geometry due to the presence of a lone pair on nitrogen.
Correct Answer: D — Trigonal pyramidal
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Q. What is the molecular geometry of BF3 according to VSEPR theory?
-
A.
Trigonal planar
-
B.
Tetrahedral
-
C.
Octahedral
-
D.
Linear
Solution
BF3 has three bonding pairs and no lone pairs, resulting in a trigonal planar geometry.
Correct Answer: A — Trigonal planar
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