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Q. For the gas phase reaction,
$PCl _5( g ) \rightleftharpoons PCl _3( g )+ Cl _2( g )$
which of the following conditions are correct?

AIPMTAIPMT 2008Thermodynamics

Solution:

For the reaction
$PCl_{5} (g) \rightleftharpoons PCl_{3} (g) + Cl_{2} (g)$
The reaction given is an example of decomposition reaction and we know that decomposition reactions are endothermic in nature, i.e, $\Delta H > 0$.
Further
$\Delta n = (1 + 1) - 1= + 1$
Hence more number of molecules are present in products which shows more randomness
i.e. $\Delta S > 0 (\Delta S $ is positive)