WAEC 2019 Chemistry · Question 39

If 6.5g of magnesium ribbon reacts completely with Hydrochloric acid, how many grams of hydrogen gas would be…

Question

If 6.5g of magnesium ribbon reacts completely with Hydrochloric acid, how many grams of hydrogen gas would be liberated? Mg(s) + 2 HCl(aq) --> MgCl 2(aq) + H 2(g) [ H = 1.0, Mg = 24.0 ]

  1. A.0.54g
  2. B.0.70g
  3. C.1.08g
  4. D.1.40g

Answer: A. 0.54g

Explanation written with AI and checked against the answer key

Analyze the question: We need the mass of H₂ produced when 6.5 g of Mg reacts completely with HCl. This is a reacting-mass (stoichiometry) problem.

Concept: From the balanced equation, the mole ratio decides how much product forms:

Mg(s) + 2HCl(aq) → MgCl₂(aq) + H₂(g)

1 mole of Mg gives 1 mole of H₂.

Solution:

  1. Molar mass of Mg = 24.0 g/mol
  2. Moles of Mg = 6.5 / 24.0 = 0.2708 mol
  3. Mole ratio Mg : H₂ = 1 : 1, so moles of H₂ = 0.2708 mol
  4. Molar mass of H₂ = 2 × 1.0 = 2.0 g/mol
  5. Mass of H₂ = 0.2708 × 2.0 = 0.5417 g ≈ 0.54 g

Shortcut: 24 g Mg gives 2 g H₂, so 6.5 g gives (6.5 × 2) / 24 = 13/24 ≈ 0.54 g.

54 g).

Tip: In reacting-mass questions, follow this sequence: balance the equation, convert mass to moles, apply the mole ratio, then convert back to mass. Watch out for H₂ having a molar mass of 2, not 1. Using 1 would give 0.27 g, a common trap.

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