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MHT CET 2026 (11 Apr, Shift 1) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from MHT CET 2026 (11 Apr, Shift 1)

Q8MHT CET 2026 · 11 APR · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

A vessel has $6$ gram of hydrogen at pressure $P$ and temperature $500$ K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is $\frac{P}{2}$ and the temperature falls to $300$ K?

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Answer: (d)

$PV = \dfrac{m}{M}RT$ with $V$ fixed $\Rightarrow m \propto \dfrac{P}{T}$ .
$m_2 = 6 \times \dfrac{P/2}{P} \times \dfrac{500}{300} = 6 \times \dfrac{1}{2} \times \dfrac{5}{3} = 5$ g
Leaked mass $= 6 - 5 = 1$ g
So the answer is (d) $1$ gram.

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