Liquid water at 200 kPa and 15C is heated in a chamber by mixing it with superheated

Question:

Liquid water at 200 kPa and 15°C is heated in a chamber by mixing it with superheated steam at 200 kPa and 200°C. Liquid water enters the mixing chamber at a rate of 4 kg/s, and the chamber is estimated to lose heat to the surrounding air at 25°C at a rate of 600 kJ/min. If the mixture leaves the mixing chamber at 200 kPa and 80°C, determine

(a) The mass flow rate of the superheated steam

(b) The wasted work potential during this mixing process.

600 kJ/min 15°C 4 kg/s Mixing chamber 80°C 200 kPa 200°C