$.$ In a process, an acid $(1)$ is mixed with water $(2)$ to form an equimolar mixture in a open vessel $($constant P$).$ The

vessel is equipped with cooling coils in order to maintain isothermal conditions. The nartial molar enthalnv of water

in $k\frac{J}{m}ol$ based on a reference state of pure water at $T$ and $P$ of the mixture is

$($a$)$ Find an expression for the partial molar enthalpy for acidbased on reference state for pure acid at the T and $P$ of the

mixture.

$($b$)$ Find the infinite dilution partial molar enthalpies for both the species based on the respective reference states

$($c$)$ If $20$mole$\frac{s}{s}$ each of acid and water are mixed in a process, calculate the cooling requirement for the process.