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)
COPth = (h1-hf3)/(h2-h1)
This formula uses 4 Variables
Variables Used
Theoretical Coefficient of Performance - Theoretical Coefficient of Performance is the ideal performance of a vapour compression refrigeration cycle under ideal conditions without losses or inefficiencies.
Enthalpy of The Vapour Refrigerant at T1 - (Measured in Joule per Kilogram) - Enthalpy of The Vapour Refrigerant at T1 is the total heat content of the refrigerant vapour at the initial temperature point in a vapour compression refrigeration cycle.
Sensible Heat at Temperature T3 - (Measured in Joule per Kilogram) - Sensible Heat at Temperature T3 is the heat energy required to change the temperature of a substance at a specific temperature point T3.
Enthalpy of The Vapour Refrigerant at T2 - (Measured in Joule per Kilogram) - Enthalpy of the Vapour Refrigerant at T2 is the total heat content of the refrigerant vapour at the second point in the vapour compression refrigeration cycle.
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: 90 Kilojoule per Kilogram --> 90000 Joule per Kilogram (Check conversion ​here)
Enthalpy of The Vapour Refrigerant at T2: 350 Kilojoule per Kilogram --> 350000 Joule per Kilogram (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
COPth = (h1-hf3)/(h2-h1) --> (260000-90000)/(350000-260000)
Evaluating ... ...
COPth = 1.88888888888889
STEP 3: Convert Result to Output's Unit
1.88888888888889 --> No Conversion Required
FINAL ANSWER
1.88888888888889 1.888889 <-- Theoretical Coefficient of Performance
(Calculation completed in 00.021 seconds)

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Enthalpy of Vapour Compression Refrigeration Cycle Calculators

Entropy at point 1
​ LaTeX ​ 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)
Enthalpy at Point 4 given Liquid Enthalpy at Point 4
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Enthalpy of The Vapour Refrigerant at T1 = Liquid Enthalpy at Point 1+Dryness Fraction at Point 1*Latent Heat of Fusion

Enthalpy of Air Calculators

Coefficient of Performance given enthalpy of liquid refrigerant leaving condenser (hf3)
​ LaTeX ​ 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)
Refrigerating Effect(for given h1 and h4)
​ LaTeX ​ 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
​ LaTeX ​ Go Refrigerating Effect = Enthalpy of The Vapour Refrigerant at T1-Sensible Heat at Temperature T3
Work done during isentropic compression(per Kg of refrigerant)
​ LaTeX ​ Go Work Done = Enthalpy of The Vapour Refrigerant at T2-Enthalpy of The Vapour Refrigerant at T1

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

​LaTeX ​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)
COPth = (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 a measure of the efficiency of a refrigeration system, comparing the energy input to the desired cooling effect, providing a theoretical value of the system's performance under ideal conditions. Theoretical Coefficient of Performance is denoted by COPth 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 -> 1.888889 = (260000-90000)/(350000-260000).

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 a measure of the efficiency of a refrigeration system, comparing the energy input to the desired cooling effect, providing a theoretical value of the system's performance under ideal conditions and is represented as COPth = (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 is the total heat content of the refrigerant vapour at the initial temperature point in a vapour compression refrigeration cycle, Sensible Heat at Temperature T3 is the heat energy required to change the temperature of a substance at a specific temperature point T3 & Enthalpy of the Vapour Refrigerant at T2 is the total heat content of the refrigerant vapour at the second point in the vapour compression refrigeration cycle.
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 a measure of the efficiency of a refrigeration system, comparing the energy input to the desired cooling effect, providing a theoretical value of the system's performance under ideal conditions 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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