$(25$ points$)$ Ammonia Absorption Air Conditioner

An engineer wanting to reduce the carbon footprint of their house designs an air conditioning system that operates on solar energy. A heat transfer fluid absorbs heat $Q_{\text{h}\text{o}\text{t}}$ from a solar collector, which is then used to heat a solution of ammonia and water $($at $212F)$ in the generator $(1)$ of the ammonia absorption device illustrated below. The heating process causes ammonia vapor to come out of the solution, and it is then separated from the water $(2).$ The ammonia vapor passes through a condenser $(3),$ where it is liquified while heat $Q_0$ is rejected to the environment $($at $100F).$ The liquid ammonia then flows into an evaporator $(4),$ located in the cooling unit, where it evaporates and, in so doing, absorbs heat $Q_{\text{c}\text{o}\text{l}\text{d}}$ from the house $($at $70F).$ The ammonia vapor continues into an absorber $(4)$ where it dissolves in the water returning from the separator $(2).$ The solution then flows into the generator $(1),$ completing the cycle.

$($a$)(3$ points$)$ Draw a schematic diagram of the processes in this refrigeration cycle on the left$-$hand figure below by showing the heat transfers $Q_{\text{h}\text{o}\text{t}},Q_0,$ and $Q_{\text{c}\text{o}\text{l}\text{d}}$ to$/$from the three reservoirs $($at temperatures $T_{\text{h}\text{o}\text{t}}>T_0>T_{\text{c}\text{o}\text{l}\text{d}})$ and the ammonia absorption AC device. Clearly indicate the direction of heat transfer with arrows.

$($b$)(3$ points$)$ Write down the first law of thermodyanmics as it applies to this cycle.

$($c$)(3$ points$)$ Write down the second law of thermodynamics $$s it applies to this cycle $($think Clausius inequality$).$