Question

Considering entropy `(S)` as a thermodynamics parameter, the criterion for the spontaneity of any process is
A. `DeltaS_("system")gt0" only"`
B. `DeltaS_("surroundings")gt0" only"`
C. `DeltaS_("system")+DeltaS_("surroundings")gt0`
D. `DeltaS_("system")-DeltaS_("surroundings")gt0`

Answer 1

Correct Answer - C
Here the volume of gas increase from `V_(1)` to `V_(2)` at constant temperature T.
The total increase in entropy of the system and its surrounding during the spontaneous process of expansion considered above is, thus R `ln((V_(2))/(V_(1)))"since "V_(2)gtV_(1)` it is abvious of a gas is accompanied by an increase in the entropy of the system and its surrounding considered together.
`DeltaS_("system")+DeltaS_("surrounding")gt0`.