Calculations involving gas volumes

2 marks · Hard

A sealed glass tube at rtp contains 0.42 moles of sulfur dioxide gas, SO₂. Calculate the volume, in dm³, of sulfur dioxide gas in the tube at rtp.

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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10.1 dm³ (±0.2)

Also accept: 10.08 dm³; 10.1 dm³

Common mistakes: Using 22.4 dm³ as molar volume instead of 24 dm³; Neglecting to state units

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Marking points

M1 · 1 mark · Uses correct formula: volume = moles × 24 dm³ at rtp (or a correct rearrangement).

A1 · 1 mark · Correct answer: 10.08 dm³ or 10.1 dm³ (tolerance ±0.2), with appropriate unit.

Worked solution

At rtp, 1 mole of any gas occupies 24 dm³.

For 0.42 moles of SO₂:

Rounded to 2 significant figures: 10.1 dm³.