Solution
Related Formula
The balanced chemical equation for the displacement reaction is:
Mg(s) + 2HCl(aq) arrow MgCl₂(aq) + H₂(g)At STP, 1 mole of any ideal gas occupies a volume of 22.4~L = 22400~mL.
Core Logic
From the stoichiometry of the reaction:
- 1 mole of Mg (24~g) produces 1 mole of H₂ (22400~mL at STP).
Step 1: Calculate moles of H₂ gas produced
nH₂ = 220~mL22400~mL/mol ≈ 9.8214 × 10⁻³~molStep 2: Calculate mass of Magnesium required
Since the molar ratio of
\mathrm{Mg}to\mathrm{H}_2is1:1:nMg = 9.8214 × 10⁻³~molMass of Mg = 9.8214 × 10⁻³~mol × 24~g/molMass of Mg ≈ 0.2357~g = 235.7~mg ≈ 236~mgThis matches Option (3).
Pattern Recognition
Always keep a close eye on unit prefixes in options. A mass of
0.2357\mathrm{~g}corresponds to235.7\mathrm{~mg}, which rounds directly to236\mathrm{~mg}, whereas235.7\mathrm{~g}$ is off by a factor of 1000.Chapter Mix
Class 11 Chemistry: Some Basic Concepts of Chemistry