$10\mathrm{.}24$ A vapor$-$compression refrigeration system for a household refrigerator has a refrigerating capacity of $1000Bt\frac{u}{h}.$ Refrigerant enters the evaporator at $-10F$ and exits at $0F.$ The isentropic compressor efficiency is $80\%.$ The refrigerant condenses at $95F$ and exits the condenser subcooled at $90F.$ There are no significant pressure drops in the flows through the evaporator and condenser. Determine the evaporator and condenser pressures, each in lbf$/$in$.{?}^2,$ the mass flow rate of refrigerant, in $l\frac{b}{m}in,$ the compressor power input, in horsepower, and the coefficient of performance for $($a$)$ Refrigerant $134$a and $($b$)$ propane as the working fluid.