In a binary liquid system, the enthalpy of species 1 and 2 at constant temperature and pressure is represented by the following equation:

\[ H=400 x_{1}+600 x_{2}+x_{1} x_{2}\left(40 x_{1}+20 x_{2}\right) \quad \text { where } H \text { is in } \mathrm{J} / \mathrm{mol} \]

Determine the expressions for \(\bar{H}_{1}\) and \(\bar{H}_{2}\) as functions of \(x_{1}\), and the numerical values for the pure species enthalpies \(H_{1}\) and \(H_{2}\).