The enthalpy of $300k$ and $1$ bar of binary liquid mixture is given $H=400x_1+600x_2+x_1{x}_2(40x_1+20x_2)$ hor the stated $T$ and $P$ determine $($i$)$ Expression for $\frac{?}{\text{b}\text{a}\text{r}}(H{)}_1$ and $\frac{?}{\text{b}\text{a}\text{r}}(H{)}_2$ in terms of $x_i$

$($ii$)$ Numerical value for the puze component

$($iii$)""""$ partial molat enthalpy at infinite dilution of $\frac{?}{\text{b}\text{a}\text{r}}(H{)}_1$ and $\frac{?}{\text{b}\text{a}\text{r}}(H{)}_2.$