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🧪 Chemistry  ·  States of Matter  ·  NEET & JEE

A gas mixture of equal moles of H<sub>2</sub> and CH<sub>4</sub> is kept in a container fitted with a porous plug. After some time, the gas remaining in the container will be richer in:

Answer: CH 4 , because H 2 diffuses out faster leaving CH 4 behind.

  • A H<sub>2</sub>, because it diffuses out faster in most cases
  • B CH<sub>4</sub>, because H<sub>2</sub> diffuses out faster leaving CH<sub>4</sub> behind
  • C Both will remain in equal proportion under typical conditions
  • D Neither, since the mixture cannot separate according to standard textbooks

Correct answer: B. CH<sub>4</sub>, because H<sub>2</sub> diffuses out faster leaving CH<sub>4</sub> behind

Explanation: By Graham Law, the lighter gas H<sub>2</sub> effuses out faster through the porous plug, so the container becomes richer in the heavier CH<sub>4</sub>.

Graph of pressure versus volume for a fixed amount of gas at constant temperature: the curve falls steeply then flattens, a hyperbola showing pressure inversely proportional to volume.

Boyle's law: at constant temperature the pressure of a fixed mass of gas is inversely proportional to its volume (P ∝ 1/V), so the P–V plot is a hyperbola — halving the volume doubles the pressure. Image: Reginaprice2013, CC BY-SA 3.0, via Wikimedia Commons.

Concept context

Discover why gases expand to fill any container while liquids flow and solids hold their shape. Master the gas laws, the ideal gas equation, and the reasons real gases deviate from ideal behavior.

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