Relation between P, V, T, Gamma in Adiabatic Proceses
A gas C v , m...
Question
A gas (Cv,m=52R) behaving ideally was allowed to expand reversibly and adiabatically from 1litre to 32litre. It's initial temperature was 327oC. The molar enthalpy change (in Jmole−1) for the process is
A
−1125R
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B
−575R
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C
−1575R
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D
None of these
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Solution
The correct option is C−1575R As the gas is explanding reversibly and adiabatically, we can use the relation : T2T1=(V1V2)γ−1 We know that, Cp=Cv+R and γ=CpCv=Cv+RCv Hence, γ=75 ⇒T2=T1(132)75−1=600⋅(125)25=600(0.5)2=150K △Hm=72R×(150−600)=−1575R