IBDP Chemistry -Structure 1.5 Ideal gases - IB Style Questions For SL Paper 2 -FA 2025
Question
An unidentified organic substance is composed only of carbon, hydrogen and oxygen.
(a) A sample of mass \(4.32 \text{ g}\) was completely burned in excess oxygen, producing \(9.49 \text{ g}\) of \(\text{CO}_2\) and \(5.18 \text{ g}\) of \(\text{H}_2\text{O}\). Determine the empirical formula of the compound, using sections 1 and 7 of the data booklet.
(b) The same organic compound was fully vaporized under controlled conditions of temperature and pressure.
(i) A mass of \(0.108 \text{ g}\) of the gaseous compound occupied a volume of \(55.7 \text{ cm}^3\) at \(100^{\circ}\text{C}\) and a pressure of \(1.00 \times 10^5 \text{ Pa}\). Calculate the amount of the compound, in moles.
(ii) Hence, determine the molar mass of the organic compound.
(i) A mass of \(0.108 \text{ g}\) of the gaseous compound occupied a volume of \(55.7 \text{ cm}^3\) at \(100^{\circ}\text{C}\) and a pressure of \(1.00 \times 10^5 \text{ Pa}\). Calculate the amount of the compound, in moles.
(ii) Hence, determine the molar mass of the organic compound.
Most-appropriate topic codes (Chemistry):
• TOPIC S1.4: Counting particles by mass: The mole — part (a)
• TOPIC S1.5: Ideal gases — parts (b-i), (b-ii)
• TOPIC S1.5: Ideal gases — parts (b-i), (b-ii)
▶️ Answer/Explanation
Detailed solution
(a)
• \(C\): \(9.49 / 44.01 = 0.216 \text{ mol}\). Mass \(C = 2.59 \text{ g}\).
• \(H\): \(2 \times (5.18 / 18.02) = 0.575 \text{ mol}\). Mass \(H = 0.581 \text{ g}\).
• \(O\): \(4.32 – (2.59 + 0.581) = 1.15 \text{ g}\). Moles \(O = 1.15 / 16.00 = 0.0719 \text{ mol}\).
• Ratio \(C:H:O = 0.216 : 0.575 : 0.0719\). Divide by \(0.0719\) \(\rightarrow\) \(3 : 8 : 1\).
• Empirical formula: \(\text{C}_3\text{H}_8\text{O}\).
(b)
(i) \(n = \frac{PV}{RT} = \frac{1.00 \times 10^5 \times 55.7 \times 10^{-6}}{8.31 \times 373} = \mathbf{0.00180 \text{ mol}}\).
(ii) \(M = \frac{m}{n} = \frac{0.108}{0.00180} = \mathbf{60.0 \text{ g mol}^{-1}}\).
