JEE Main · 2025 · Shift-IIeasyMOLE-209

Mass of magnesium required to produce 220 mL of hydrogen gas at STP on reaction with excess of dil. HCl is: (Given:…

Some Basic Concepts (Mole Concept) · Class 11 · JEE Main Previous Year Question

Question

Mass of magnesium required to produce 220 mL of hydrogen gas at STP on reaction with excess of dil. \ceHCl\ce{HCl} is:

(Given: Molar mass of Mg is 24 g mol1^{-1})

Options
  1. a

    235.7 g

  2. b

    0.24 mg

  3. c

    236 mg

  4. d

    2.444 g

Correct Answerc

236 mg

Detailed Solution

🧠 One Mg makes one \ceH2\ce{H2} The reaction is \ceMg+2HCl>MgCl2+H2\ce{Mg + 2HCl -> MgCl2 + H2}. So 11 mole of Mg gives 11 mole of \ceH2\ce{H2}. Find moles of gas, then mass of Mg.

🗺️ Step by step Moles of \ceH2\ce{H2} at STP: n=220224009.82×103mol.n = \frac{220}{22400} \approx 9.82 \times 10^{-3}\,\text{mol}.

Moles of Mg needed =9.82×103mol= 9.82 \times 10^{-3}\,\text{mol} (same as \ceH2\ce{H2}).

Mass of Mg: 0.00982×240.2357g=235.7mg.0.00982 \times 24 \approx 0.2357\,\text{g} = 235.7\,\text{mg}.

The closest option is 236mg236\,\text{mg}.

Fast check 220/224001/100220/22400 \approx 1/100 mol. 1/100×24=0.24g=240mg1/100 \times 24 = 0.24\,\text{g} = 240\,\text{mg}. So roughly 236mg236\,\text{mg} is the right scale.

Answer: (c)\boxed{\text{Answer: (c)}}

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