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Question 441 of 991 in Principles of Chemistry

Using the molar volume in calculations with chemical equations

3 marks · Easy
(a)

To prepare hydrogen in the laboratory, zinc reacts with excess dilute sulfuric acid according to this equation:

A student adds 13.0 g of zinc (Ar: Zn = 65) to excess sulfuric acid.

(i)

Calculate the number of moles of zinc used.

[1 mark]
(ii)

State the number of moles of hydrogen gas produced.

[1 mark]
(iii)

Calculate the volume, in dm³, of hydrogen gas produced at room temperature and pressure.

[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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(i) 0.20 mol

(ii) 0.20 mol

(iii) 4.8 dm³

Common mistakes: Dividing by incorrect Ar; Mixing up molar volume in cm³/dm³

Show mark scheme and worked solution

Marking points

M1 (a(i)) · 1 mark · Calculates number of moles of Zn: 13.0 / 65 = 0.20 (mol)

M2 (a(ii)) · 1 mark · Correctly deduces moles of H2 is same as moles of Zn (1:1 ratio from equation) (follow-through allowed) (follow-through)

A1 (a(iii)) · 1 mark · Calculates volume: 0.20 × 24 = 4.8 (dm³) (follow-through allowed) (follow-through)

Worked solution

(i) Number of moles of Zn = 13.0 / 65 = 0.20 mol

(ii) The equation shows a 1:1 ratio between Zn and H₂, so moles of H₂ = 0.20 mol

(iii) Volume of hydrogen = moles × molar volume = 0.20 × 24 = 4.8 dm³

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