Question
Considering entropy $$(S)$$ as a thermodynamic parameter, the criterion for the spontaneity of any process is
A.
$$\Delta {S_{{\text{system}}}} + \Delta {S_{{\text{surrounding}}}} > 0$$
B.
$$\Delta {S_{{\text{system}}}} - \Delta {S_{{\text{surrounding}}}} > 0$$
C.
$$\Delta {S_{{\text{system}}}} > 0$$
D.
$$\Delta {S_{{\text{surrounding}}}} > 0$$
Answer :
$$\Delta {S_{{\text{system}}}} + \Delta {S_{{\text{surrounding}}}} > 0$$
Solution :
For spontaneous process, $$\Delta S$$ must be positive. In reversible process
$$\Delta {S_{{\text{system}}}} + \Delta {S_{{\text{surrounding}}}} = 0$$
Hence, system is present in equilibrium.
( i.e. it is not spontaneous process )
While in irreversible process
$$\Delta {S_{{\text{system}}}} + \Delta {S_{{\text{surrounding}}}} > 0$$
Hence, in the process $$\Delta S$$ is positive.