Cold water (c p = 4.18 kJ/kgC) leading to a shower enters a well-insulated, thin-walled, double-pipe, counter

Question:

Cold water (c_p = 4.18 kJ/kg⋅°C) leading to a shower enters a well-insulated, thin-walled, double-pipe, counter flow heat exchanger at 10°C at a rate of 0.95 kg/s and is heated to 70°C by hot water (c_p = 4.19 kJ/kg⋅°C) that enters at 85°C at a rate of 1.6 kg/s. Determine

(a) The rate of heat transfer

(b) The rate of entropy generation in the heat exchanger.

0.95 kg/s | Cold 10°C water Hot water 85°C 1.6 kg/s 70°C