A counter-flow heat exchanger receives 1.2 kg/s of 2.0 bar saturated vapor steam that exits at the same pressure. The other flow is 6 kg/s of liquid water; it enters at 10 bar and 15 C and exits at the same pressure, but with a temperature of 45 C.
What is the exit state of the steam (i.e., what is the exit quality)? Make whatever assumptions are necessary in order to solve this problem.