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Question

Pressure of gas contained in a closed vessels is increased by 0.4%, when heated by oC. Calculate its final temperature. Assume ideal nature.

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Solution

Initial pressure in the vessel 1atm =P1
After increasing 0.4% the pressure P2=1.004P1.
and T2=T1+1
P1V1T1=P2V2T2P1T1=P2T2 (As volume constant).
T1=P1T2P2
=P1(T1+1)1.004P1
T1=T1+11.004
T1=10.004=250K

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