Answer
$\Delta S = 0 $
Work Step by Step
The entropy change in the whole system
$\Delta S = \Delta S_L + \Delta S_L' + \Delta S_R + \Delta S_R' $
$\Delta S = (-0.710 J/K) + 0.710 J/K + 0.723 J/K+ (-0.723 J/K)$
$\Delta S = 0 $
Change in entropy is zero which has been expected of a reversible process.
