Thermodynamics and Thermochemistry - Result Question 41

####41. For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant $K$ in terms of change in entropy is described by

(2017 Adv.)

(a) With increase in temperature, the value of $K$ for endothermic reaction increases because unfavourable change in entropy of the surroundings decreases

(b) With increase in temperature, the value of $K$ for exothermic reaction decreases because favourable change in entropy of the surrounding decreases (c) With increase in temperature, the value of $K$ for endothermic reaction increases because the entropy change of the system is negative

(d) With increase in temperature, the value of $K$ for exothermic reaction decreases because the entropy change of the system is positive

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Solution:

  1. $\Delta S _{\text {surr }}=\frac{-\Delta H}{T _{\text {surr }}}$

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.



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