$3($b$)\_$#$12$: An air conditioning system uses a counter flow recuperator in which Refrigerant $22$ is

cooled by air. There is no stray heat transfer and the kinetic and potential energy effects are

negligible. The designer is considering a significant change to the air conditioning system which

would allow the exit temperature of the refrigerant to increase to $40C.$ Determine the

corresponding decrease in mass flowrate, in $k\frac{g}{s},$ required for the air. $(0\mathrm{.}663k\frac{g}{s})$