The enthalpy $\left(H\right.$, in J. $\left.\mathrm{mol}^{-1}\right)$ of a binary liquid system at constant temperature and pressure is given as
$$H=40 x_1+60 x_2+x_1 x_2\left(4 x_1+2 x_2\right),$$
where $x_1$ and $x_2$ represent the mole fractions of species $1$ and $2$ in the liquid, respectively. Which one of the following is the $\text{CORRECT}$ value of the partial molar enthalpy of species 1 at infinite dilution, $\bar{H}_1^{\infty}$ (in J. $\left.\mathrm{mol}^{-1}\right)$ ?
- $100$
- $42$
- $64$
- $40$