Nearly every mechanical refrigeration unit has an expansion valve. Please consider the depiction of an expansion valve in the figure below. The dashed rectangle defines a Control Volume (CV). During operation, a fluid enters the CV from the left, experiences a sudden expansion to a much lower pressure,and exits the CV to the right. Please follow our solution method to model the expansion valve.

a. Please show that the reduction of the Mass Balance leads to

m₁ = me= m.

b. Please show the reduction of the Energy Balance so that the result is Del h= 0. Please be careful to record each of the assumptions that you made.

c. This reduction of the Energy Balance is known as the "Isenthalpic Nozzle." Of the assumptions made in the Isenthalpic Nozzle, which is the most egregious? Please explain with a sentence or two.