A vessel contains 1 mole of O₂ gas (molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing one mole of He gas (molar mass 4) at temperature 2 T has a pressure of

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8 P

P/8

2 P

answer is C.

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Detailed Solution

We know that, PV = n RT
$∴ P_{1} V = n_{1} {RT}_{1} and P_{2} V = n_{2} {RT}_{2}$
or $\frac{P_{2}}{P_{1}} = \frac{n_{2}}{n_{1}} \times \frac{T_{2}}{T_{1}} = \frac{1}{1} \times \frac{2 T}{T} = 2$
$P_{2} = P_{1} \times 2 = P \times 2 = 2 P$

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