Question

The entropy versus temperature plot for phases $\alpha$ and $\beta$ at 1 bar pressure is given. $S_T$ and $S_0$ are entropies of the phases at temperatures $T$ and $0K$, respectively.

The transition temperature for $\alpha$ to $\beta$ phase change is $600 K$ and $C_P$, $β − C_P$, $\alpha = 1 \text{ J }mol^{−1} K^{-1}$. Assume $(C_P,\beta − C_P,\alpha)$ is independent of temperature in the range of $200$ to $700 K$. $C_P,\alpha \text{ and }C_P,\beta$ are heat capacities of $\alpha$ and $\beta$ phases, respectively