For a reaction, A⇌P , the plots of Aand P with time at...

For a reaction, $A ⇌ P$ , the plots of $[A] a n d [P]$ with time at temperatures $T_{1} a n d T_{2}$ are given below.

If $T_{2} > T_{1}$ , the correct statement(s) is (are)
(Assume $∆ H^{⊝} a n d ∆ S^{⊝}$ are independent of temperature and ratio of $\ln K a t T_{1} t o \ln K a t T_{2}$ is greater than $T_{2} / T_{1}$ . Here H, S , G and K are enthalpy, entropy, Gibbs energy and equilibrium constant, respectively.)

∆ H^{⊝} < 0, ∆ S^{⊝} < 0

∆ G^{⊝} < 0, ∆ H^{⊝} < 0

∆ G^{⊝} < 0, ∆ S^{⊝} < 0

∆ G^{⊝} > 0, ∆ S^{⊝} > 0

Solution:

$A ⇌ P$
Given $T_{2} > T_{1}$
$\frac{\ln K_{1}}{\ln K_{2}} > \frac{T_{2}}{T_{1}}$
$\Rightarrow T_{1} \ln k_{1} > T_{2} \ln k_{2}$
$\Rightarrow - ∆ G_{1}^{0} > - ∆ G_{2}^{0}$
$\Rightarrow (- ∆ H^{0} + T_{1} ∆ S^{0}) > (- ∆ H^{0} + T_{2} ∆ S^{o})$
$\Rightarrow T_{1} ∆ S^{0} > T_{2} ∆ S^{0}$
$\Rightarrow ∆ S^{o} < 0$

At $T_{2}$ temperature concentration of product is decreases that shows reaction is exothermic.

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For a reaction, A⇌P , the plots of Aand P with time at...

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