A two stage vapour compression plant with a direct contact heat exchanger uses R-12 as refrigerant. The evaporator and condenser temperature are -300Cand 400Crespectively. The condenser and evaporator pressure are 15.5 bars and 1.2 bars respectively. If the capacity of the plant is 25 tonnes of refrigeration then the COP of the plant isGiven data:Correct answer is between '2.95,3'. Can you explain this answer?

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A two stage vapour compression plant with a direct contact heat exchanger uses R-12 as refrigerant. The evaporator and condenser temperature are -30⁰C and 40⁰C respectively. The condenser and evaporator pressure are 15.5 bars and 1.2 bars respectively. If the capacity of the plant is 25 tonnes of refrigeration then the COP of the plant is
Given data:

Correct answer is between '2.95,3'. Can you explain this answer?

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A two stage vapour compression plant with a direct contact heat exchan...

Compression work = m₁ (h₂−h₁) + m₂ (h₄−h₃)
Capacity of plant = 25 tonnes = (25×14000)/ (3600) = 97.22 kJ/s
m₁ (h₁−h₈) = 97.22 (∵ h₇ = h₈)
m₁ (1404.6−181.5) = 97.22
m₁ = 0.08 kg/s
Also,
m₁ (h₂−h₇) = m₂ (h₃−h₆)
0.08 × (1574.3−181.5) = m₂ (1443.5−371.7) (∵ h₅ = h₆)
m₂ = 0.104 kg/s
Compression work, W = 0.08 × (1574.3−1404.6) + 0.104 × (1628.1−1443.5)
W = 32.77 kW
So, COP = 97.22/32.77 = 2.97

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A two stage vapour compression plant with a direct contact heat exchanger uses R-12 as refrigerant. The evaporator and condenser temperature are -300Cand 400Crespectively. The condenser and evaporator pressure are 15.5 bars and 1.2 bars respectively. If the capacity of the plant is 25 tonnes of refrigeration then the COP of the plant isGiven data:Correct answer is between '2.95,3'. Can you explain this answer?

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