The LiBr$-$water absorption cycle without heat exchanger between generator and absorber operates at the following temperature: generator, $110$ C ; condenser, $45$ C ; evaporator, $5$ C ; and absorber$,25$ C $.$ The flow rate of solution delivered by the pump is $0\mathrm{.}5k\frac{g}{s}$

$($a$)$ What are the mass flow rates of solution returning from the generator to the absorber and of the refrigerant?

$($b$)$ What are the rates of heat transfer at each of the components, and the $CO{P}_{abs}?$