Thermodynamics and Thermochemistry 1 Question 38
41. For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant $\mathrm{K}$ in terms of change in entropy is described by
(2017 Adv.)
(a) With increase in temperature, the value of $\mathrm{K}$ for endothermic reaction increases because unfavourable change in entropy of the surroundings decreases
(b) With increase in temperature, the value of $\mathrm{K}$ for exothermic reaction decreases because favourable change in entropy of the surrounding decreases (c) With increase in temperature, the value of $\mathrm{K}$ for endothermic reaction increases because the entropy change of the system is negative
(d) With increase in temperature, the value of $\mathrm{K}$ for exothermic reaction decreases because the entropy change of the system is positive
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Solution:
- $\Delta S_{\text {surr }}=\frac{-\Delta H}{T_{\text {surr }}}$
For endothermic reaction, if $T_{\text {surr }}$ increases, $\Delta S_{\text {surr }}$ will increase. For exothermic reaction, if $T_{\text {surr }}$ increases, $\Delta S_{\text {surr }}$ will decrease.
