`10` litre of a monoatomic ideal gas at `0^(@)C` and `10 atm` pressure is suddenly released to `1 atm` pressure and the gas expands adiabatically against this constant pressure. The final volume `(L)` of the gas.

`10` litre of a monoatomic ideal gas at `0^(@)C` and `10 atm` pressure

1.	`10` litre of a monoatomic ideal gas at `0^(@)C` and `10 atm` pressure is suddenly released to `1 atm` pressure and the gas expands adiabatically against this constant pressure. The final volume `(L)` of the gas.
Answer» Correct Answer - 64 L This is adiabatic irreversible process, so for this process `PV^(gamma)=` Constant, is not applicable `W= -P_(ext)(V_(2)-V_(1))` But for adiabatic process `W=dU=((P_(2)V_(2)-P_(1)V_(1))/(gamma-1))` `PV=nRT " "rArr10xx10=nxx0.082xx273rArrn=4.47` moles `-P_(ext)(V_(2)-V_(1))=((P_(2)V_(2)-P_(1)V_(1))/(gamma-1)) " "rArr-1xx(V_(2)-10)=(1xxV_(2)-10xx10)/(1.67-1)` `rArr (10-V_(2))=(V_(2)-100)/(0.67) " "6.7-0.67 V_(2)=V_(2)-100` `rArr 106.7V_(2) " " V_(2)=64`

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`10` litre of a monoatomic ideal gas at `0^(@)C` and `10 atm` pressure is suddenly released to `1 atm` pressure and the gas expands adiabatically against this constant pressure. The final volume `(L)` of the gas.

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