Answer: The exit temperature will be 40 C
Step-by-step explanation:
Using a baseline of 0 C, the heat content of the streams will be:
H (hot stream) = mass rate x Cp (heat capacity) x (80 - 0)
H (cold stream) = 2 x mass rate x Cp x (20 - 0)
H (exit stream) = 3 x mass rate x Cp x (T exit - 0)
But the exit heat content equals the sum of the cold and hot streams, so
3 x (Texit) = 80 + (2 x 20) = 120 C
So T exit = 40 C