# Two solutions of non-volatile solutes A and B are prepared. The molar mass ratio,$\large\frac{M_A}{M_B}=\frac{1}{3}$.Both are prepared as 5% solutions by weight in water. Calculate the ratio of the freezing point depressions,$\large\frac{(\Delta T_f)_A}{(\Delta T_f)_B}$ of the solutions.If the two solutions are mixed to prepared two new solutions $S_1$ and $S_2$, the mixing ratio being 2 : 3 and 3 : 2 by volume for $S_1$ and $S_2$ respectively what would be the ratio $\large\frac{(\Delta T_f)_{S_1}}{(\Delta T_f)_{S_2}}$?

$\large\frac{9}{11}$