Suppose that at $370K$ pure solid $A$ is in equilibrium with a liquid solution containing $60$mol$\%$A and $40$mol$\%B.$ Use this information and one$-$parameter Margules equation for the activity coefficient: $ln{}_A=\frac{\frac{?}{\text{b}\text{a}\text{r}}(G_A^E)}{RT}=A{x}_B^2,ln{}_B=\frac{\frac{?}{\text{b}\text{a}\text{r}}(G_B^E)}{RT}=A{x}_A^2,$ estimate the composition of the A and $B$ liquid mixture when it is in equilibrium with pure solid $B$ at the same temperature. The melting point temperature and the heat of fusion for solid A and B are:

$\backslash$table$[[,T_m,H_f$