Work done during isentropic compression(per Kg of refrigerant) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work Done = Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1
w = h2-h1
This formula uses 3 Variables
Variables Used
Work Done - (Measured in Joule) - Work done by/on a system is energy transferred by/to the system to/from its surroundings.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Enthalpy of the vapour refrigerant at T2: 280 Kilojoule per Kilogram --> 280000 Joule per Kilogram (Check conversion here)
Enthalpy of the Vapour Refrigerant at T1: 260 Kilojoule per Kilogram --> 260000 Joule per Kilogram (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = h2-h1 --> 280000-260000
Evaluating ... ...
w = 20000
STEP 3: Convert Result to Output's Unit
20000 Joule -->20 Kilojoule (Check conversion here)
FINAL ANSWER
20 Kilojoule <-- Work Done
(Calculation completed in 00.006 seconds)

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Created by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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National Institute Of Technology (NIT), Hamirpur
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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

Work done during isentropic compression(per Kg of refrigerant) Formula

Work Done = Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1
w = h2-h1

What happens when a refrigerant vapor is compressed?

Circulating refrigerant enters the compressor in the thermodynamic state known as a saturated vapor and is compressed to a higher pressure, resulting in a higher temperature as well.

How to Calculate Work done during isentropic compression(per Kg of refrigerant)?

Work done during isentropic compression(per Kg of refrigerant) calculator uses Work Done = Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1 to calculate the Work Done, Work done during isentropic compression(per Kg of refrigerant) is the difference between the enthalpies of the refrigerant at the start and end of compression. Work Done is denoted by w symbol.

How to calculate Work done during isentropic compression(per Kg of refrigerant) using this online calculator? To use this online calculator for Work done during isentropic compression(per Kg of refrigerant), enter Enthalpy of the vapour refrigerant at T2 (h2) & Enthalpy of the Vapour Refrigerant at T1 (h1) and hit the calculate button. Here is how the Work done during isentropic compression(per Kg of refrigerant) calculation can be explained with given input values -> 0.02 = 280000-260000.

FAQ

What is Work done during isentropic compression(per Kg of refrigerant)?
Work done during isentropic compression(per Kg of refrigerant) is the difference between the enthalpies of the refrigerant at the start and end of compression and is represented as w = h2-h1 or Work Done = Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1. Enthalpy of the vapour refrigerant at T2, i.e at the discharge of the compressor & Enthalpy of the vapour refrigerant at T1, i.e at the suction of the compressor.
How to calculate Work done during isentropic compression(per Kg of refrigerant)?
Work done during isentropic compression(per Kg of refrigerant) is the difference between the enthalpies of the refrigerant at the start and end of compression is calculated using Work Done = Enthalpy of the vapour refrigerant at T2-Enthalpy of the Vapour Refrigerant at T1. To calculate Work done during isentropic compression(per Kg of refrigerant), you need Enthalpy of the vapour refrigerant at T2 (h2) & Enthalpy of the Vapour Refrigerant at T1 (h1). With our tool, you need to enter the respective value for Enthalpy of the vapour refrigerant at T2 & Enthalpy of the Vapour Refrigerant at T1 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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