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The theoretical minimum work required to separate one mole of a liquid mixture at 1 atm, containing 50 mole % each of n- heptane and n- octane into pure compounds each at 1 atm is

The theoretical minimum work required to separate one mole of a liquid mixture at 1 atm, containing 50 mole % each of n- heptane and n- octane into pure compounds each at 1 atm is Correct Answer -RT ln 0.5

Entropy of mixing is
$$\eqalign{ & = - R\sum {{X_i}\ln {x_i}} \cr & = - R\left \cr} $$
Since, work $$ = T\Delta S = - RT\,\ln \,0.5.$$

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