question_answer

Ideal gas undergoes an adiabatic change in its state from \[({{p}_{1}},{{V}_{1}},{{T}_{1}})\] to \[({{p}_{2}},{{V}_{2}},{{T}_{2}})\]. The work done (W) in the process is (\[\mu =\] number of molecules, \[{{C}_{P}}\] and \[{{C}_{V}}\] are molar specific heats of gas)

A)  \[W=\mu {{C}_{P}}({{T}_{1}}-{{T}_{2}})\]

B)  \[W=\mu {{C}_{V}}({{T}_{1}}-{{T}_{2}})\]

C)  \[W=\mu {{C}_{P}}({{T}_{1}}+{{T}_{2}})\]

D)  \[W=\mu {{C}_{V}}({{T}_{1}}+{{T}_{2}})\]