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  4. A diatomic gas does 100 J of work when it is expanded isobaric ally. The heat given to the gas during this process is

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Q. A diatomic gas does 100 J of work when it is expanded isobaric ally. The heat given to the gas during this process is

VMMC MedicalVMMC Medical 2015

Solution:

Work done in an isobaric process $ W=p({{V}_{2}}-{{V}_{1}}) $ $ W=nR{{V}_{2}}-nR{{V}_{1}} $ $ \Rightarrow $ $ {{T}_{2}}-{{T}_{1}}=\frac{W}{nR} $ The heat given in this process $ Q=n{{C}_{p}}({{T}_{2}}-{{T}_{1}}) $ $ =n{{C}_{p}}\left( \frac{W}{nR} \right)=n\left( \frac{7}{2}R \right)\left( \frac{W}{nR} \right) $ $ =\frac{7}{2}W=\frac{7}{2}\times 100=350J $