Question $6$

$(10$ points$)$

Refrigerant R$134$a at $1$ MPa and $343$ K enters a heat exchanger at a mass flow rate of $\backslash (0\mathrm{.}1\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ).$ It leaves the heat exchanger at a temperature of $308$ K $.$ Water at $300$ kPa and $288$ K enters the same heat exchanger and exits at $298$ K $.$ Neglect pressure drops in the heat exchanger.

a$)$ Find the required mass flow rate of water.

$(6$ points$)$

b$)$ Determine the rate of heat transfer between the two fluid streams within the heat exchanger.

$(4$ points$)$