Chemistry - Thermodynamics - I Question with Solution | TestHub

Each graph represents a straight line passing through the origin, indicating that $P{V}^n=constant$. The values for $n$ are: (a) $n=3$, (b) $n=-1$, (c) $n=-3$, and (d) $n=2$.

The specific heat capacity $C$ is given by the formula $C=C_V+\frac{R}{1-n}$. Given that $C_V=1.5R$, we can calculate $C$ for each case:

(a) $1.0R$

(b) $2.0R$

(c) $1.75R$

(d) $0.5R$

For the same change in temperature ($\Delta T$), the heat absorbed ($Q$) is greatest for the largest absolute value of $C$, which corresponds to graph (b). Therefore, the solution matches option (b).