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Question

An ideal gas has a specific heat at constant pressure CP=5R2. The gas is kept in a closed vessel of volume V0 at temperature T0 and pressure P0. An amount of 10 P0V0 of heat is supplied to the gas. The ratio of final pressure and temperature of the gas becomes.....

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Solution

Given : PA=Po VA=Vo TA=To CP=52R
Using CPCV=R
52RCV=R CV=32R
Using ideal gas equation at A, PoVo=nRTo ..........(1)
Process AB is an isochoric process : W=0
Q=ΔU=nCV(TBTA)
OR 10PoVo=32nR(TBTo)

Using (1) we get 10nRTo=32nR(TBTo) TB=233To
Also PATA=PBTB

PoTo=PB233To PB=233Po

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