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Q. What is the mode of the following data set: 1, 1, 2, 3, 3, 3, 4, 5?

A. 1
B. 2
C. 3
D. 4

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?

A. 2
B. 3
C. 4
D. 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?

A. 1
B. 2
C. 3
D. 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}?

A. 1
B. 2
C. 3
D. 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?

A. 5
B. 7
C. 3
D. 4

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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