JEE Advanced 2023 Chemistry question on Chemical Thermodynamics

Question

Paragraph
The entropy versus temperature plot for phases α and β at 1 bar pressure is given.

S_{\text{T}}

and

S_{0}

are entropies of the phases at temperatures T and 0 K, respectively.

The transition temperature for α to β phase change is 600 K and

C_{\text{p},\beta} - C_{\text{p},\alpha} = 1

J mol

^{-1}

K

^{-1}

. Assume

(C_{\text{p},\beta} - C_{\text{p},\alpha})

is independent of temperature in the range of 200 to 700 K.

C_{\text{p},\alpha}

and

C_{\text{p},\beta}

are heat capacities of α and β phases, respectively.

The value of entropy change,

S_{\beta} - S_{\alpha}

(in J mol

^{-1}

K

^{-1}

), at 300 K is ___.

[Use: ln 2 = 0.69
Given:

S_{\beta} - S_{\alpha} = 0

at 0 K]