A dilute solution is subjected to flash distillation. The solution is heated in a heat exchanger and then flashes in a vacuum vessel. If heat at a rate of $270000$ kJ$/$h is transferred to the $50,9$ kglh solution in the heat exchanger, calculate; vepor a$.$ The temperature of the solution at the exit of the heat exchanger. b$.$ The amount of overhead vapor and residual liquid leaving the vacuum vessel. The following data are given: Flow rate and temperature of the solution at the inlet of the heat exchanger is $1000$ kg$/$h and $50\backslash$deg C$,$ heat capacity of the solution is $3\mathrm{.}8$ kJ$/$kg$\backslash$deg C$,$ and absolute pressure in the vacuum vessel is $70\mathrm{.}14$ kPa.