The mean molar Gibbs energy of a mixture of two enantiomorphs (optical isomers of the same substance) is given at a constant temperature T by

G_m = G_m(x) = G^◦_m + RTx ln (x) + RT(1 − x) ln (1 − x),

where x is the mole fraction of one of them. G^◦_m is a constant, R is the ideal gas constant, and T is the constant temperature. What is the concentration of each enantiomorph when G has its minimum value? What is the maximum value of G in the interval 0 ≤ x ≤ 1?