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Q.

The ideal gas in a vessel is subjected to a pressure of 20 atmosphere at a temperature 27°C. The pressure of the gas (in atm) in the vessel after one half of the gas is released from the vessel and temperature of the remainder is raised by 50°C is ___________  (Round it off to nearest integer)

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answer is 12.

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Detailed Solution

Pv=nRT 2P/nT=Constant  P2/n2T2=P1/n1T1 P2=P2n2T2/n1T1
If initial no of moles = 1final no of moles = 0.5
T1=27°C=273+27=300k T2=300+50=350k put in above eqn P2=20×0.5×350/(1×300) =11.66  atm

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