Question

In an isobaric process, $\Delta Q=\frac{K\gamma }{\gamma -1}$ where $\gamma =\frac{C_p}{C_v}$. What is $K$?

• A. Pressure
• B. Volume
• C. $\Delta U$
• D. $\Delta W$

Answer 1

The correct option is D $\Delta W$

It is given that,
$\frac{C_p}{C_v}=\gamma$
Calculating, $\frac{\gamma }{\gamma -1}$ we get
$\frac{\gamma }{\gamma -1}=\frac{C_p}{R}$
Thus we get $\Delta Q=\frac{C_p}{R}K$
or
$n{C}_p\Delta T=\frac{C_p}{R}K$
or
$K=nR\Delta T=\Delta W$