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Question 407 of 991 in Principles of Chemistry

Calculations involving gas volumes

3 marks · Easy

Methane combusts in oxygen according to the equation:

A sample of methane of volume 2.4 dm³ is burned completely in excess oxygen at rtp.

(a)

Calculate the number of moles of methane in the sample.

[1 mark]
(b)

Calculate the volume, in dm³, of carbon dioxide gas produced at rtp.

[2 marks]

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(a) 0.1 mol

(b) 2.4 dm³

Common mistakes: Using incorrect ratio CO2:CH4

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Marking points

B1 (a) · 1 mark · Correctly calculates moles: 2.4 / 24 = 0.1 mol.

M1 (b) · 1 mark · Applies correct stoichiometry: 1 mol CH4 produces 1 mol CO2. (follow-through)

A1 (b) · 1 mark · Multiplies answer from (a) by 24 or recognises volume of CO2 = volume of CH4 = 2.4 dm³. (follow-through)

Worked solution

a) n = 2.4 / 24 = 0.1 mol

b) 0.1 mol CH4 → 0.1 mol CO2; Volume = 0.1 × 24 = 2.4 dm³

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