Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
COPtheoretical = (h1-hf3)/(h2-h1)
This formula uses 4 Variables
Variables Used
Theoretical Coefficient of Performance - Theoretical Coefficient of Performance of a refrigerator is the ratio of heat Extracted from the Refrigerator to the amount of work done.
Enthalpy of the Vapour Refrigerant at T1 - (Measured in Joule per Kilogram) - Enthalpy of the vapour refrigerant at T1, i.e at the suction of the compressor.
Sensible Heat at Temperature T3 - (Measured in Joule per Kilogram) - Sensible heat at temperature T3 is the enthalpy of the liquid leaving the condenser.
Enthalpy of the vapour refrigerant at T2 - (Measured in Joule per Kilogram) - Enthalpy of the vapour refrigerant at T2, i.e at the discharge of the compressor.
STEP 1: Convert Input(s) to Base Unit
Enthalpy of the Vapour Refrigerant at T1: 260 Kilojoule per Kilogram --> 260000 Joule per Kilogram (Check conversion here)
Sensible Heat at Temperature T3: 36 Kilojoule per Kilogram --> 36000 Joule per Kilogram (Check conversion here)
Enthalpy of the vapour refrigerant at T2: 280 Kilojoule per Kilogram --> 280000 Joule per Kilogram (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
COPtheoretical = (h1-hf3)/(h2-h1) --> (260000-36000)/(280000-260000)
Evaluating ... ...
COPtheoretical = 11.2
STEP 3: Convert Result to Output's Unit
11.2 --> No Conversion Required
FINAL ANSWER
11.2 <-- Theoretical Coefficient of Performance
(Calculation completed in 00.020 seconds)

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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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9 Theoretical Vapour compression cycle with Dry Saturated vapour after compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3
Work done during isentropic compression(per Kg of refrigerant)
Go Work Done = Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1

8 Theoretical Vapour compression cycle with Wet vapour after compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

8 Theoretical Vapour compression cycle with Superheated vapour after compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

8 Theoretical Vapour compression cycle with Superheated vapour before compression Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

8 Theoretical Vapour compression cycle with Under-cooling or sub-cooling if refrigerant Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
Go Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
Entropy at point 1
Go Entropy at Point 1 = Liquid Entropy at Point 1+((Dryness Fraction at point 1*Latent Heat of Fusion)/Temperature at the suction of compressor)
Entropy at point 2
Go Entropy at point 2 = Liquid entropy at point 2+((Dryness Fraction at point 2*Latent Heat of Fusion)/Temperature at Discharge of Compressor)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
Go Enthalpy of the vapour refrigerant at T4 = Liquid Enthalpy at Point 4+(Dryness Fraction at point 4*Latent Heat of Fusion)
Enthalpy at point 2
Go Enthalpy of the vapour refrigerant at T2 = Liquid Enthalpy at Point 2+(Dryness Fraction at point 2*Latent Heat of Fusion)
Enthalpy at point 1 given Liquid enthalpy at point 1
Go Enthalpy of the Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at point 1*Latent Heat of Fusion
Refrigerating Effect(for given h1 and h4)
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Enthalpy of the vapour refrigerant at T4
Refrigerating Effect given Enthalpy at Inlet of Compressor and Exit of Condenser
Go Refrigerating Effect = Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) Formula

Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1)
COPtheoretical = (h1-hf3)/(h2-h1)

What is coefficient of performance?

Coefficient of Performance of a refrigerator is the ratio of heat Extracted from the Refrigerator to the amount of work done.

How to Calculate Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)?

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) calculator uses Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1) to calculate the Theoretical Coefficient of Performance, Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) formula is defined as the ratio of enthalpy differences at the entry and exit of the evaporator to the entry and exit of the condenser. Theoretical Coefficient of Performance is denoted by COPtheoretical symbol.

How to calculate Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) using this online calculator? To use this online calculator for Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3), enter Enthalpy of the Vapour Refrigerant at T1 (h1), Sensible Heat at Temperature T3 (hf3) & Enthalpy of the vapour refrigerant at T2 (h2) and hit the calculate button. Here is how the Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) calculation can be explained with given input values -> 11.2 = (260000-36000)/(280000-260000).

FAQ

What is Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)?
Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) formula is defined as the ratio of enthalpy differences at the entry and exit of the evaporator to the entry and exit of the condenser and is represented as COPtheoretical = (h1-hf3)/(h2-h1) or Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1). Enthalpy of the vapour refrigerant at T1, i.e at the suction of the compressor, Sensible heat at temperature T3 is the enthalpy of the liquid leaving the condenser & Enthalpy of the vapour refrigerant at T2, i.e at the discharge of the compressor.
How to calculate Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)?
Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3) formula is defined as the ratio of enthalpy differences at the entry and exit of the evaporator to the entry and exit of the condenser is calculated using Theoretical Coefficient of Performance = (Enthalpy of the Vapour Refrigerant at T1-Sensible Heat at Temperature T3)/(Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1). To calculate Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3), you need Enthalpy of the Vapour Refrigerant at T1 (h1), Sensible Heat at Temperature T3 (hf3) & Enthalpy of the vapour refrigerant at T2 (h2). With our tool, you need to enter the respective value for Enthalpy of the Vapour Refrigerant at T1, Sensible Heat at Temperature T3 & Enthalpy of the vapour refrigerant at T2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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