Let a system undergoes a change of state reversibly at a constant temperature T. The heat absorbed by the system from the suuroundings may be represented by qrev . The increase in entropy of the system (ΔSsystem) will then be given by
ΔSsystem = qrev/T …(i)
Since the surroundings have lost heat equal to qrev , reversibly at the same temperature T , the entropy change of surroundings ΔSsurroundings will given by
ΔSsurroundings = – qrev/T …(ii)
(since the surroundings have lost heat , therefore ,it is given a negative sign)
Therefore , total change in entropy of the system and its surroundings during reversible process is given by
ΔSsystem + ΔSsurroundings= qrev/T – qrev/T = 0
It may, therefore , be concluded that in a reversible process, the net entropy change of the system and the surroundings is zero .In other words , there is no net entropy change in a reversible process.

