Question
The total entropy change $$\left( {\Delta {S_{{\text{total}}}}} \right)$$ for the system and surrounding of a spontaneous process is given by
A.
$$\Delta {S_{{\text{total}}}} = \Delta {S_{{\text{system}}}} + \Delta {S_{{\text{surr}}}} > 0$$
B.
$$\Delta {S_{{\text{total}}}} = \Delta {S_{{\text{system}}}} + \Delta {S_{{\text{surr}}}} < 0$$
C.
$$\Delta {S_{{\text{system}}}} = \Delta {S_{{\text{total}}}} + \Delta {S_{{\text{surr}}}} > 0$$
D.
$$\Delta {S_{{\text{surr}}}} = \Delta {S_{{\text{total}}}} + \Delta {S_{{\text{system}}}} < 0$$
Answer :
$$\Delta {S_{{\text{total}}}} = \Delta {S_{{\text{system}}}} + \Delta {S_{{\text{surr}}}} > 0$$
Solution :
For a spontaneous process, total change in entropy ( system + surrounding ) should be positive.