By measuring the equilibrium between liquid and vapor phases of a solution at $30C$ at $1\mathrm{.}00$atm, it was found that $x_A=0\mathrm{.}220$ when $y_A=0\mathrm{.}314.$ Calculate the activity coefficients of both components in this solution with assumption of ideal gas for vapor phases. The vapor pressures of the pure components at this temperature are : $P_A^{**}=73\mathrm{.}0$kPa and $P_B^{**}=92\mathrm{.}1$kPa. is the mole fraction in the liquid and $y_A$ the mole fraction in the vapor$)$