A vessel of volume V contains an ideal gas absolute temperature T and pressure P. The gas is allowed to leak till its pressure falls to P'. Assuming that the temperature remains constant during leakage, the number of moles of gas that have leaked is
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a
VRTP+P'
b
V2RTP+P'
c
VRTP-P'
d
V2RTP-P'
answer is C.
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Detailed Solution
V = constant ; T = constant ; We know that PV=μRT⇒μ1=PVRTAfter leakage,P'V=μ2RT μ2=P'VRTTherefore the number moles of the gas that have leaked is μ1-μ2=PVRT-P'VRT=VRTP-P'