A partial condenser takes vapor leaving the top of a distillation column and condenses a portion of it. The vapor portion of mole fraction \(\mathrm{y}_{\mathrm{D}}\) is removed as the distillate product. The liquid portion of mole fraction \(\mathrm{x}_{0}\) is returned to the column as reflux. The liquid and vapor leaving the partial condenser can be assumed to be in equilibrium. Derive the mass and energy balances for a partial condenser.