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Question

A vessel of volume 8×103m3 contains and Ideal gas at 300k and 210 K Pa the gas is allowed to leak till the pressure falls to 135 K Pa. Calculate the amount of the gas in moles leaked assuming the temperature remains constant.

A
0.34 mol
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B
0.43 mol
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C
0.24 mol
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D
0.04 mol
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Solution

The correct option is C 0.24 mol
As the gas leaks out, the volume and the temperature of the remaining gas do not change.
The number of moles of the gas in the vessel is given by n=PVRT
The number of moles in the vessel before the leakage isn1=P1VRT
and that after the leakage is n2=P2VRT
The amount of Gas leaked is
n1n2=(P1P2)VRT=(210135)×8×1038.3×300=0.24

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