Choose the correct statement(s) among the following
The work done in an isochoric process is a function of the temperature only
>
for all gases, without exception
The work done by a gas in an isobaric process is responsible for different values of and
Let's consider an isobaric process at a constant pressure P, resulting in a temperature change ΔT. According to the first law,
Eint = Q − W
⇒ nCvΔT = nCpΔT − W
⇒ W = n(Cp − Cv)ΔT.
We know, in an isobaric process, when the volume changes by ΔV, the work done by the gas is PΔV. But, according to ideal gas equation,
W = PΔV = nRΔT
⇒ n(Cp − Cv)ΔT = nRΔT
⇒ Cp − Cv = R
⇒ Cp > Cv, for all gases.