A turbine discharges $204\mathrm{.}8$ kg$/$h saturated steam at $10\mathrm{.}0$ bar. It is desired to generate steam at $250\backslash$deg C and $10\mathrm{.}0$ bar by mixing the turbine discharge with a second stream of super heated steam of $300\backslash$deg C and $10\mathrm{.}0$ bar. For $359\mathrm{.}2$ kg$/$h of the product stream to be generated $,$ how much heat must be added to the mixer in kW$?$ Report positive umber.