QJEEAdv23Cha73a: JEE Advanced 2023 Chemistry - Class 11 JEEAdv23Cha73a Solution: The value of entropy change, (in ), at is _______. [Use : Given …

Question

Verified Solution • 2025–26 Session moderate

The value of entropy change,

S_\beta-S_\alpha

(in

\mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}

), at

300 \mathrm{~K}

is _______.

[Use :

\ln 2=0.69

Given :

S_\beta-S_\alpha=0

at

0 \mathrm{~K}

]

Accepted Answer

\begin{aligned} &amp; \text { At } 1 \text { bar } \\\\ &amp; \alpha \longrightarrow \beta\end{aligned}

\begin{aligned}&amp; \mathrm{S}_{\alpha(600)}^{\mathrm{o}}=\mathrm{S}_{\alpha(300)}^{\mathrm{o}}+\mathrm{C}_{\mathrm{P}(\alpha)} \ln \frac{600}{300} \\\\&amp; \mathrm{~S}_{\beta(600)}^{\mathrm{o}}=\mathrm{S}_{\beta(300)}^{\mathrm{o}}+\mathrm{C}_{\mathrm{P}(\beta)} \ell \mathrm{n} \frac{600}{300} \\\\&amp; \mathrm{~S}_{\beta(600)}^{\mathrm{o}}-\mathrm{S}_{\alpha(600)}^{\mathrm{o}}=\mathrm{S}_{\beta(300)}^{\mathrm{o}}-\mathrm{S}_{\alpha(300)}^{\mathrm{o}}+\left(\mathrm{C}_{\mathrm{P}(\beta)}-\mathrm{C}_{\mathrm{P}(\alpha)}\right) \ell \mathrm{n} 2 \\\\&amp; 6-5=\mathrm{S}_{\beta(300)}^{\mathrm{o}}-\mathrm{S}_{\alpha(300)}^{\mathrm{o}}+1 \times \ell \mathrm{n} 2 \\\\&amp; 1=\mathrm{S}_{\beta(300)}^{\mathrm{o}}-\mathrm{S}_{\alpha(300)}^{\mathrm{o}}+0.69\end{aligned}

So

\mathrm{S}_{\beta(300)}^{\mathrm{o}}-\mathrm{S}_{\alpha(300)}^{\mathrm{o}}=0.31

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