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Multiple Choice Questions
(a) 6.02 × 1011.5
(b) 3.01 × 1023
(c) 3.01 × 1011.5
(d) 6.02 × 1023
Show Answer & Explanation
Answer: (d) 6.02 × 1023
Explanation:
1. 16 g of oxygen atoms = 16/16 = 1 mol of atoms.
2. Number of atoms = 1 × 6.02 × 1023.
Teacher's Note:
1. Always ask whether the question gives a mass of atoms or of molecules.
2. Oxygen written as 'oxygen' without a formula is treated here as atoms.
(a) 1 × 1023
(b) 1.5 × 1023
(c) 2 × 1023
(d) 6 × 1023
Show Answer & Explanation
Answer: (d) 6 × 1023
Explanation:
1. Moles of NH3 = 4.25/17 = 0.25 mol.
2. Atoms per molecule = 4, so atoms = 0.25 × 4 × 6.02 × 1023 = 6 × 1023.
Teacher's Note:
1. Multiply the number of molecules by the atomicity to get atoms.
2. NH3 has four atoms per molecule.
(a) 1 g of O
(b) 1 g of O2
(c) 1 g of O3
(d) All have the same number of atoms
Show Answer & Explanation
Answer: (d) All have the same number of atoms
Explanation:
1. Each sample contains only oxygen atoms, so 1 g of any of them has 1/16 mol of atoms.
2. The number of atoms is therefore the same in all three.
Teacher's Note:
1. Same mass of the same element means the same number of atoms, whatever the molecular form.
2. Do not be misled by the formula O2 or O3.
(a) 12 g of C
(b) 32 g of S
(c) 8 g of oxygen
(d) 24 g of Mg
Show Answer & Explanation
Answer: (c) 8 g of oxygen
Explanation:
1. 0.5 g atom of N = 0.5 mol of atoms.
2. 8 g of O = 8/16 = 0.5 mol of atoms; 12 g C = 1 mol, 32 g S = 1 mol, 24 g Mg = 1 mol.
Teacher's Note:
1. One gram atom is one mole of atoms.
2. Convert every option to moles before comparing.
(a) 4 g of H2
(b) 16 g of O2
(c) 28 g of N2
(d) 18 g of H2O
Show Answer & Explanation
Answer: (a) 4 g of H2
Explanation:
1. Moles of atoms: H2 = 4/2 × 2 = 4; O2 = 16/32 × 2 = 1; N2 = 28/28 × 2 = 2; H2O = 18/18 × 3 = 3.
2. The maximum is 4 mol of atoms in 4 g of H2.
Teacher's Note:
1. Light molecules give a large number of moles for the same mass.
2. Remember to multiply the moles by atomicity.
(a) NA
(b) NA/10 × 4
(c) (NA/10) × 7
(d) NA × 10 × 7
Show Answer & Explanation
Answer: (c) (NA/10) × 7
Explanation:
1. Moles of NH3 = 1.7/17 = 0.1 mol.
2. Neutrons per molecule: N has 7, H has 0, so 7 neutrons.
3. Neutrons = 0.1 × 7 × NA = (NA/10) × 7.
Teacher's Note:
1. Neutrons = mass number minus atomic number for each atom.
2. Ordinary hydrogen has no neutrons.
(a) 6.02 × 1023 atoms
(b) 3.01 × 1023 atoms
(c) 1.505 × 1023 atoms
(d) 0.7525 × 1023 atoms
Show Answer & Explanation
Answer: (b) 3.01 × 1023 atoms
Explanation:
1. Moles of O2 = 5.6/22.4 = 0.25 mol.
2. Atoms = 0.25 × 2 × 6.02 × 1023 = 3.01 × 1023.
Teacher's Note:
1. One mole of any gas occupies 22.4 L at STP.
2. Multiply by 2 because O2 is diatomic.
(a) 6.02 × 1023
(b) \( \frac{6.02 \times 10^{23}}{2} \)
(c) \( \frac{6.02 \times 10^{23}}{3} \)
(d) \( \frac{6.02 \times 10^{23}}{6} \)
Show Answer & Explanation
Answer: (b) \( \frac{6.02 \times 10^{23}}{2} \)
Explanation:
1. 8 g of O3 contains 8 g of oxygen atoms = 8/16 = 0.5 mol.
2. Number of atoms = 0.5 × 6.02 × 1023 = \( \frac{6.02 \times 10^{23}}{2} \).
Teacher's Note:
1. Mass of oxygen atoms equals the mass of ozone given.
2. Use atomic mass 16, not molecular mass 48, for atoms.
(a) n × Avogadro number × atomicity
(b) \( \frac{n \times \text{Avogadro number}}{\text{atomicity}} \)
(c) \( \frac{\text{Avogadro number} \times \text{atomicity}}{n} \)
(d) None of these
Show Answer & Explanation
Answer: (a) n × Avogadro number × atomicity
Explanation:
1. Number of molecules = n × NA.
2. Each molecule has 'atomicity' atoms, so atoms = n × NA × atomicity.
Teacher's Note:
1. Atoms = molecules × atomicity.
2. Check the formula with 1 mol of O2, which has 2 NA atoms.
(a) 1.8
(b) 12.044 × 1023
(c) 1.084 × 1025
(d) 10.84 × 1023
Show Answer & Explanation
Answer: (c) 1.084 × 1025
Explanation:
1. 12 g of carbon-12 = 1 mol = 6.022 × 1023 atoms.
2. Each atom has 6 protons, 6 electrons and 6 neutrons = 18 particles.
3. Total = 18 × 6.022 × 1023 = 1.084 × 1025.
Teacher's Note:
1. Count particles per atom first and then scale by Avogadro's number.
2. Neutrons = 12 − 6 = 6.
(a) 1.43 × 1026
(b) 3.94 × 10-22
(c) 6.99 × 10-23
(d) 1.53 × 10-22
Show Answer & Explanation
Answer: (b) 3.94 × 10-22
Explanation:
1. 1 amu = 1.66 × 10-24 g.
2. Actual weight = 238 × 1.66 × 10-24 = 3.95 × 10-22 g, which matches 3.94 × 10-22.
Teacher's Note:
1. Actual mass of an atom = atomic mass in amu × 1.66 × 10-24 g.
2. Equivalently divide the molar mass by NA.
(a) 18 g
(b) 2.99 × 10-23 g
(c) Both (1) and (2) are correct
(d) 1.66 × 10-24 g
Show Answer & Explanation
Answer: (b) 2.99 × 10-23 g
Explanation:
1. Molar mass of water = 18 g, so one molecule = 18/(6.022 × 1023) = 2.99 × 10-23 g.
2. 18 g is the mass of one mole, not of one molecule.
Teacher's Note:
1. Mass of one molecule = molar mass divided by NA.
2. Do not confuse molar mass with molecular mass in grams.
(a) 16 g
(b) 26.6 × 1022 g
(c) 2.66 × 10-23 g
(d) 16 NA g
Show Answer & Explanation
Answer: (c) 2.66 × 10-23 g
Explanation:
1. Mass of one molecule = 16/(6.02 × 1023) = 2.66 × 10-23 g.
Teacher's Note:
1. Divide the molar mass by NA for one molecule.
2. The answer is tiny, around 10-23 g for small molecules.
(a) 1 g atom of C
(b) 1/2 mol of CH4
(c) 10 mL of water
(d) 3.011 × 1023 atoms of oxygen
Show Answer & Explanation
Answer: (a) 1 g atom of C
Explanation:
1. 1 g atom of C = 12 g.
2. 1/2 mol CH4 = 8 g; 10 mL water = 10 g (density 1 g/mL); 3.011 × 1023 O atoms = 0.5 mol = 8 g.
3. The highest mass is 12 g.
Teacher's Note:
1. Convert all options to grams.
2. A gram atom means the mass of one mole of atoms.
(a) 4.4 g CO2
(b) 3.4 g NH3
(c) 1.6 g CH4
(d) 3.2 g SO2
Show Answer & Explanation
Answer: (d) 3.2 g SO2
Explanation:
1. Moles: CO2 = 4.4/44 = 0.1; NH3 = 3.4/17 = 0.2; CH4 = 1.6/16 = 0.1; SO2 = 3.2/64 = 0.05.
2. The least is 0.05 mol, in SO2.
Teacher's Note:
1. Molecules are proportional to moles.
2. Heavy molecules give fewer moles for a given mass.
(a) 1.505 × 1023
(b) 3.01 × 1023
(c) 6.02 × 1023
(d) None of these
Show Answer & Explanation
Answer: (a) 1.505 × 1023
Explanation:
1. Moles = 4.25/17 = 0.25 mol.
2. Molecules = 0.25 × 6.02 × 1023 = 1.505 × 1023.
Teacher's Note:
1. Compare with question 2: atoms were four times the molecules.
2. Always state whether the count is of atoms or molecules.
(a) 20 and 30
(b) 30 and 40
(c) 40 and 30
(d) 30 and 20
Show Answer & Explanation
Answer: (c) 40 and 30
Explanation:
1. Molar mass of B2A3 = 9.0/0.05 = 180; molar mass of B2A = 10/0.10 = 100.
2. 2B + 3A = 180 and 2B + A = 100; subtracting gives 2A = 80, so A = 40.
3. Then 2B = 60, so B = 30.
Teacher's Note:
1. Set up two equations from two molar masses.
2. Subtract to eliminate the common term.
(a) 1 mol
(b) 1/2 mol
(c) 1/4 mol
(d) 1/8 mol
Show Answer & Explanation
Answer: (c) 1/4 mol
Explanation:
1. Moles = 5.6/22.4 = 1/4.
Teacher's Note:
1. Molar volume at NTP is 22.4 L.
2. 5.6 L is one quarter of that.
(a) N2O
(b) CO
(c) CO2
(d) Both (1) and (3)
Show Answer & Explanation
Answer: (d) Both (1) and (3)
Explanation:
1. Moles = 2.24/22.4 = 0.1 mol, so molar mass = 4.4/0.1 = 44 g/mol.
2. N2O = 44 and CO2 = 44, while CO = 28.
3. So the gas may be N2O or CO2.
Teacher's Note:
1. Different gases can have the same molar mass.
2. Use the molar mass only to narrow down the options.
(a) 1 g CO2
(b) 1 g N2
(c) 1 g O2
(d) 1 g H2
Show Answer & Explanation
Answer: (a) 1 g CO2
Explanation:
1. For equal masses, moles are inversely proportional to molar mass.
2. CO2 has the largest molar mass (44), so 1 g of it has the fewest molecules.
Teacher's Note:
1. Equal masses: the heavier molecule means fewer molecules.
2. No calculation is needed when comparing equal masses.
(a) \( \frac{W}{V} \times 22400 \)
(b) \( \frac{V}{W} \times 22.4 \)
(c) \( (W - V) \times 22400 \)
(d) \( \frac{W \times 1}{V \times 22400} \)
Show Answer & Explanation
Answer: (a) \( \frac{W}{V} \times 22400 \)
Explanation:
1. V mL of vapour is the fraction V/22400 of a mole.
2. Molar mass = W ÷ (V/22400) = (W/V) × 22400.
Teacher's Note:
1. Molar mass = mass of 22400 mL of the gas.
2. Check the units: g per mL times mL per mol gives g/mol.
(a) 0.1 × 10-3
(b) 0.5 × 10-3
(c) 1.66 × 10-3
(d) 9.95 × 10-2
Show Answer & Explanation
Answer: (b) 0.5 × 10-3
Explanation:
1. 98 mg = 0.098 g = 0.001 mol = 1 × 10-3 mol.
2. Moles removed = 3.01 × 1020/6.02 × 1023 = 0.5 × 10-3.
3. Moles left = 1 × 10-3 − 0.5 × 10-3 = 0.5 × 10-3.
Teacher's Note:
1. Convert mg to g carefully.
2. Subtract the moles removed from the initial moles.
(a) 7
(b) 4
(c) 5
(d) 6
Show Answer & Explanation
Answer: (c) 5
Explanation:
1. Molar mass = 2 × vapour density = 140.
2. Mass of CO = 28, so x = 140/28 = 5.
Teacher's Note:
1. Molar mass = 2 × V.D.
2. The formula unit CO has mass 28.
(a) 11.2 L
(b) 2.24 L
(c) 22.4 L
(d) 2.4 L
Show Answer & Explanation
Answer: (d) 2.4 L
Explanation:
1. Molar mass = 2 × 11.2 = 22.4 g/mol.
2. 2.4 g = 2.4/22.4 mol, and volume = (2.4/22.4) × 22.4 = 2.4 L.
Teacher's Note:
1. The molar mass in grams numerically equals the volume of one mole in litres here.
2. Always double the V.D. first.
(a) 3.01 × 104
(b) 3.01 × 1015
(c) 3.01 × 1012
(d) 3.01 × 1016
Show Answer & Explanation
Answer: (c) 3.01 × 1012
Explanation:
1. Moles = 1.12 × 10-7/22400 = 5 × 10-12 mol.
2. Molecules = 5 × 10-12 × 6.02 × 1023 = 3.01 × 1012.
Teacher's Note:
1. Use 22400 mL as the molar volume when the volume is in mL.
2. Keep track of powers of ten.
(a) 3.6 × 1022
(b) 7.2 × 1021
(c) 0.05
(d) 6.6 × 1022
Show Answer & Explanation
Answer: (a) 3.6 × 1022
Explanation:
1. Moles of sugar = 1.71/342 = 0.005 mol.
2. Carbon atoms = 0.005 × 12 × 6.02 × 1023 = 3.6 × 1022.
Teacher's Note:
1. Multiply by the number of carbon atoms in one molecule.
2. 0.05 is a number of moles, not atoms.
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