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IBDP Chemistry -Structure 1.4 Counting particles by mass: The mole - IB Style Questions For SL Paper 2 -FA 2025

Question

A mass of \(3.162 \text{ g}\) of calcium carbonate, \(\text{CaCO}_3(s)\), reacts with \(20.0 \text{ cm}^3\) of \(4.00 \text{ mol dm}^{-3}\) hydrochloric acid, \(\text{HCl}(aq)\).
(a) Write the balanced chemical equation for this reaction, including state symbols.
(b) Determine which reactant is the limiting reagent. Use sections 1, 4 and 7 of the data booklet.
(c) Calculate the volume of gas produced, in \(\text{dm}^3\) at STP. Use section 2 of the data booklet.
(d) The progress of this reaction can be investigated by measuring the volume of gas formed over time. Sketch an additional curve for the reaction when the acid is at a higher temperature, with all other conditions kept constant.

Most-appropriate topic codes (Chemistry):

TOPIC S1.4: Counting particles by mass: The mole — parts (a), (b)
TOPIC S1.5: Ideal gases — part (c)
TOPIC R1.1: Rate of reaction — part (d)
▶️ Answer/Explanation
Detailed solution

(a)
\[ \text{CaCO}_3(s) + 2\text{HCl}(aq) \rightarrow \text{CaCl}_2(aq) + \text{CO}_2(g) + \text{H}_2\text{O}(l) \]

(b)
• \(n(\text{HCl}) = 4.00 \times 0.020 = 0.0800 \text{ mol}\)
• \(n(\text{CaCO}_3) = \frac{3.162}{100.09} = 0.0316 \text{ mol}\)
• Stoichiometric ratio is \(1:2\). The amount of \(\text{HCl}\) required for \(0.0316 \text{ mol}\) of \(\text{CaCO}_3\) is \(0.0632 \text{ mol}\).
• Since \(0.0800 > 0.0632\), \(\text{HCl}\) is in excess and \(\text{CaCO}_3\) is the limiting reactant.

(c)
\(n(\text{CO}_2) = n(\text{CaCO}_3) = 0.0316 \text{ mol}\)
\(V = n \times 22.7 \text{ dm}^3 \text{ mol}^{-1} = 0.0316 \times 22.7 = \mathbf{0.717 \text{ dm}^3}\).

(d)
The curve should begin at the origin, show a steeper initial gradient (indicating a faster rate), and level off at the same final volume since the amount of limiting reactant is unchanged.

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