CIE iGCSE Co-Ordinated Science C3.3 The mole and the Avogadro constant Exam Style Questions Paper 2
Question
Which quantities, when measured at room temperature and pressure, contain one mole of oxygen molecules?
- 16 g of oxygen molecules
- 12 dm³ of oxygen molecules
- the Avogadro constant number of oxygen molecules
- 24 dm³ of oxygen molecules
A. 1 and 2
B. 1 and 4
C. 2 and 3
D. 3 and 4
▶️ Answer/Explanation
✅ Answer: (D)
Question
Which statement about the Avogadro constant is correct?
A. It is the volume of 1 mole of a gas at room temperature and pressure.
B. It is the mass of 1 mole of a substance.
C. It is the number of particles in 1 mole of a substance.
D. It has a value of 24 dm³.
▶️ Answer/Explanation
✅ Answer: (C)
Question
When magnesium carbonate reacts with dilute hydrochloric acid, carbon dioxide gas is released.
The equation for this reaction is shown.
\(\text{MgCO}_3 + 2\text{HCl} \rightarrow \text{MgCl}_2 + \text{CO}_2 + \text{H}_2\text{O}\)
Which volume of carbon dioxide, collected at room temperature and pressure, is released when 4.2 g of magnesium carbonate reacts with excess dilute hydrochloric acid?
A. 1.2 dm3
B. 2.4 dm3
C. 4.8 dm3
D. 12 dm3
▶️ Answer/Explanation
The equation shows a 1:1 mole ratio between \(\text{MgCO}_3\) and \(\text{CO}_2\), so 0.05 mol of \(\text{CO}_2\) is produced.
Using the molar gas volume at r.t.p. of \(24\text{ dm}^3/\text{mol}\): \(0.05 \times 24 = 1.2\text{ dm}^3\).
✅ Answer: (A)
Question
Which statements about the mole are correct?
- One mole of 12C contains twice as many atoms as one mole of 24Mg.
- One mole of 12C has a mass of 12 g.
- One mole of C contains Avogadro’s number of atoms.
- One mole of oxygen gas at room temperature and pressure occupies 32 dm3.
A. 1 and 3
B. 1 and 4
C. 2 and 3
D. 2 and 4
▶️ Answer/Explanation
Statement 3 is correct: one mole of any substance, including carbon, contains the Avogadro constant, \(6.02 \times 10^{23}\) particles.
Statement 1 is wrong (equal moles of any element contain the same number of atoms) and statement 4 is wrong (one mole of any gas at r.t.p. occupies 24 dm3, not 32 dm3).
✅ Answer: (C)
Question
\(1\,\text{g}\) of hydrogen contains \(6 \times 10^{23}\) atoms.
The relative atomic mass of helium is \(4\).
How many atoms does \(1\,\text{g}\) of helium contain?
A. \(1.5 \times 10^{23}\)
B. \(3 \times 10^{23}\)
C. \(6 \times 10^{23}\)
D. \(2.4 \times 10^{24}\)
▶️ Answer/Explanation
\(1\,\text{g}\) of helium (\(A_r = 4\)) is only \(\frac{1}{4}\) of a mole.
So the number of atoms \(= 6 \times 10^{23} \div 4 = 1.5 \times 10^{23}\).
✅ Answer: (A)
