The free energy density change of mixing of a binary mixture is given by βπ = B12β
1β
2 +π
π((β
1/π£1)lnβ
1 +(β
2/π£2)lnβ
2 ). Where B12 , π£π and β
π are interaction energy density, molar volume of component i and volume fraction of component i, respectively. Derive the condition of equilibrium when π£1 = π£2. Assume that interaction energy does not depend on volume fraction.