$3.$Enthalpy of mixing data for binary mixtures of water $(1)$ and toluene $(2)$ has been fit to the following equation.

$H_{\text{m}\text{i}\text{x}\text{t}\text{u}\text{r}\text{e}}(\frac{J}{m}ol)=40x_1{x}_2+22x_2+x_2^2$

At $20C,$ the activity coefficient of water $({}_1)$ in $60\%$ water and $40\%$ toluene mixture is $1\mathrm{.}76.$ Estimate the activity coefficients of water and toluene at $60C.$ Assume that the enthalpy does not change with the temperature.