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Standard X

Physics

Ideal Gas Equation

A vessel cont...

Question

A vessel containing $1$ mole of $O_{2}$ 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.

\frac{P}{8}

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2 P

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8 P

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Solution

The correct option is B $2 P$
$P_{1} V = n_{1} R T_{1}$ and $P_{2} V = n_{2} R T_{2}$
$∴ \frac{P_{2}}{P_{1}} = \frac{n_{2}}{n_{1}} \times \frac{T_{2}}{T_{1}} = \frac{1}{1} \times \frac{2 T}{T} = 2$
or $P_{2} = P_{1} \times 2 = P \times 2 = 2 P$

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A vessel containing 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 2T has a pressure of.

The correct option is B 2PP1V=n1RT1 and P2V=n2RT2∴P2P1=n2n1×T2T1=11×2TT=2or P2=P1×2=P×2=2P

A vessel containing $1$ mole of $O_{2}$ 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.

The correct option is B $2 P$
$P_{1} V = n_{1} R T_{1}$ and $P_{2} V = n_{2} R T_{2}$
$∴ \frac{P_{2}}{P_{1}} = \frac{n_{2}}{n_{1}} \times \frac{T_{2}}{T_{1}} = \frac{1}{1} \times \frac{2 T}{T} = 2$
or $P_{2} = P_{1} \times 2 = P \times 2 = 2 P$