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Question 432 of 991 in Principles of Chemistry

Calculating the volume of a certain number of moles

4 marks · Normal

The table shows the number of moles of different gases measured at rtp in a laboratory.

Number of moles of gases at rtp
GasMoles
Oxygen0.25
Neon0.50
Argon1.00
(a)

For each gas, state the volume it would occupy at rtp in dm³.

[2 marks]
(b)

What is the volume in cm³ of 0.50 mol of neon gas at rtp?

[1 mark]
(c)

Explain why 1.00 mol of argon and 1.00 mol of oxygen have the same volume at rtp.

[1 mark]

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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(a) — · must show Correctly calculates each volume using dm³

(b) 12,000 cm³

(c) Because 1 mole of any gas at rtp has the same molar volume. · must show States molar volume same for all gases at rtp

Common mistakes: Using wrong values for molar volume; Confusing dm³ and cm³

Show mark scheme and worked solution

Marking points

A1 (a) · 1 mark · Correctly states all three volumes in dm³: O2 = 6, Neon = 12, Argon = 24.

A2 (b) · 1 mark · Correctly calculates and states 12,000 cm³ for neon.

B1 (c) · 1 mark · States (or explains) that all gases occupy the same volume per mole at rtp.

M1 (a) · 1 mark · Method shown or implied for calculation of volume (V = n × 24)

Worked solution

a) Volumes at rtp in dm³:

GasVolume (dm³)
Oxygen0.25 × 24 = 6
Neon0.50 × 24 = 12
Argon1.00 × 24 = 24

b) Volume of neon in cm³ = 0.50 × 24,000 = 12,000 cm³

c) 1.00 mol of any gas at rtp has the same molar volume (24 dm³), so the volume is the same for both gases.

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