Question

# Two litres of N2 at 00C and 5 atm are expanded exothermally against a constant external pressure of 1 atm until the pressure of gas reaches 1 atm. Assuring gas to be ideal. Calculate work of expansion?

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Solution

## By Boyle's law,P1V1=P2V2P1=5atm,P2=1atm,V1=2LV2=5atm×2L1atmV2=10LNow, Work -w=Pext.ΔVw=−1atm(10−2)L (Ext. pressure =1atm)w=−8atm.LTherefore,−8atm.L=(101.3251atmL)×8=−810.6J (1atmL=101.325)

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