Given left frac right fluidnh

Q_g = (ṁ₃h₃+ṁ₅h₅) − (ṁ₄h₄+ṁ₆h₆) [2]

ṁ₃X₃ + ṁ₅X₅ = ṁ₄X₄ + ṁ₆X₆ [3]

ṁ₉ = ṁ₁₀ [6]

Q_con = ṁ₉h₉ − ṁ₁₀h₁₀ [7]

ṁ₁₁ = ṁ₁₂ [13]

Q_e = ṁ₁₁h₁₁  − ṁ₁₂h₁₂ [14]

Heat Exchanger

ṁ₂ = ṁ₄ [18]

The COP is adopted for the cycle performance evaluation. It is defined as cooling capacity output divided by the sum of heat input and pump work, given by;

$${COP}_{Ref} = \left( \frac{Q_{l}}{Q_{g} + W_{P}} \right)$$