InterviewSolution
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InterviewSolution
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For polytropic process `PV^(n)` = constant, molar heat capacity `(C_(m))` of an ideal gas is given by:A. `C_(v,m) +(R)/((n-1))`B. `C_(v,m) +(R)/((1-n))`C. `C_(v, m) +R`D. `C_(p, m) + (R)/((n-1))` |
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Answer» Correct Answer - B `dU = dp + dw, nC_(v,m).dT = nC_(m)dT -P.dV`, `C_(m) = C_(v, m) + (P.dV)/(n.dT)` ....(1) `PV^(n) = K` and `PV = nRT :. KV^(1-n) = nRT` `K(1-n)V^(-n).dV = nRdT` `(dV)/(dT) = (nR)/(K(1-n)V^(-n))` .....(2), From Eqs (1) and (2) `C_(m) = C_(v, m) + (R)/((1-n))` |
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