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) \[w=\mu {{C}_{v}}({{T}_{1}}+{{T}_{2}})\]