Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Calculator

✖Mass of refrigerant in kg per minute is the amount of refrigerant in kilograms that flows through the compressor per minute of operation.ⓘ Mass of Refrigerant in kg per minute [m]			+10% -10%
✖Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of a unit mass of a substance by one degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Discharge Temperature of Refrigerant is the temperature of refrigerant at the outlet of a single stage compressor after compression is complete.ⓘ Discharge Temperature of Refrigerant [T_discharge]			+10% -10%
✖Suction Temperature of Refrigerant is the temperature of the refrigerant at the suction port of a single stage compressor during the compression process.ⓘ Suction Temperature of Refrigerant [T_refrigerant]			+10% -10%

✖Work done per minute during Isentropic Compression is the energy transferred per minute during the reversible adiabatic compression of a gas in a single stage compressor.ⓘ Work done during isentropic Compression given Specific Heat Capacity Constant Pressure [W_Isentropic]

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Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work done per minute during Isentropic Compression = Mass of Refrigerant in kg per minute*Specific Heat Capacity at Constant Pressure*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant)
W_Isentropic = m*C_p*(T_discharge-T_refrigerant)
This formula uses 5 Variables

Variables Used

Work done per minute during Isentropic Compression - (Measured in Joule per Second) - Work done per minute during Isentropic Compression is the energy transferred per minute during the reversible adiabatic compression of a gas in a single stage compressor.
Mass of Refrigerant in kg per minute - (Measured in Kilogram per Second) - Mass of refrigerant in kg per minute is the amount of refrigerant in kilograms that flows through the compressor per minute of operation.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of a unit mass of a substance by one degree at constant pressure.
Discharge Temperature of Refrigerant - (Measured in Kelvin) - Discharge Temperature of Refrigerant is the temperature of refrigerant at the outlet of a single stage compressor after compression is complete.
Suction Temperature of Refrigerant - (Measured in Kelvin) - Suction Temperature of Refrigerant is the temperature of the refrigerant at the suction port of a single stage compressor during the compression process.

STEP 1: Convert Input(s) to Base Unit

Mass of Refrigerant in kg per minute: 200 Kilogram per Minute --> 3.33333333333333 Kilogram per Second (Check conversion here)
Specific Heat Capacity at Constant Pressure: 29.1 Joule per Kilogram per K --> 29.1 Joule per Kilogram per K No Conversion Required
Discharge Temperature of Refrigerant: 450 Kelvin --> 450 Kelvin No Conversion Required
Suction Temperature of Refrigerant: 350 Kelvin --> 350 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_Isentropic = m*C_p*(T_discharge-T_refrigerant) --> 3.33333333333333*29.1*(450-350)

Evaluating ... ...

W_Isentropic = 9699.99999999999

STEP 3: Convert Result to Output's Unit

9699.99999999999 Joule per Second -->581999.999999999 Joule per Minute (Check conversion here)

FINAL ANSWER

581999.999999999 ≈ 582000 Joule per Minute <-- Work done per minute during Isentropic Compression

(Calculation completed in 00.004 seconds)

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Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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< Work Done by Single Stage Compressor Calculators

Work done during Isothermal Compression given Temperature and Pressure Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Mass of Refrigerant in kg per minute*[R]*Temperature of Refrigerant*ln(Discharge Pressure of Refrigerant/Suction Pressure)

Work done during Isothermal Compression given Temperature and Volume Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Mass of Refrigerant in kg per minute*[R]*Temperature of Refrigerant*ln(Suction Volume/Discharge Volume)

Work done during Isothermal Compression given Pressure and Volume Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Suction Pressure*Suction Volume*ln(Suction Volume/Discharge Volume)

Work done during Isothermal Compression given Temperature and Compression Ratio

LaTeX Go Work done per minute during Isothermal Compression = 2.3*Mass of Gas*[R]*Temperature of Gas 1*ln(Compression Ratio)

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure Formula

LaTeX Go

What is the difference between Isothermal and Adiabatic?

The major difference between these two types of processes is that in the adiabatic process, there is no transfer of heat towards or from the liquid which is considered. Where on the other hand, in the isothermal process, there is a transfer of heat to the surroundings in order to make the overall temperature constant.

How to Calculate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure calculator uses Work done per minute during Isentropic Compression = Mass of Refrigerant in kg per minute*Specific Heat Capacity at Constant Pressure*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant) to calculate the Work done per minute during Isentropic Compression, Work done during isentropic Compression given Specific Heat Capacity Constant Pressure formula is defined as the energy transferred during the compression process of a refrigerant in a single stage compressor, where the temperature of the refrigerant changes from the initial to the final state, and is a critical parameter in evaluating the compressor's performance. Work done per minute during Isentropic Compression is denoted by W_Isentropic symbol.

How to calculate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure using this online calculator? To use this online calculator for Work done during isentropic Compression given Specific Heat Capacity Constant Pressure, enter Mass of Refrigerant in kg per minute (m), Specific Heat Capacity at Constant Pressure (C_p), Discharge Temperature of Refrigerant (T_discharge) & Suction Temperature of Refrigerant (T_refrigerant) and hit the calculate button. Here is how the Work done during isentropic Compression given Specific Heat Capacity Constant Pressure calculation can be explained with given input values -> 3.5E+7 = 3.33333333333333*29.1*(450-350).

FAQ

What is Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure formula is defined as the energy transferred during the compression process of a refrigerant in a single stage compressor, where the temperature of the refrigerant changes from the initial to the final state, and is a critical parameter in evaluating the compressor's performance and is represented as W_Isentropic = m*C_p*(T_discharge-T_refrigerant) or Work done per minute during Isentropic Compression = Mass of Refrigerant in kg per minute*Specific Heat Capacity at Constant Pressure*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant). Mass of refrigerant in kg per minute is the amount of refrigerant in kilograms that flows through the compressor per minute of operation, Specific Heat Capacity at Constant Pressure is the amount of heat required to change the temperature of a unit mass of a substance by one degree at constant pressure, Discharge Temperature of Refrigerant is the temperature of refrigerant at the outlet of a single stage compressor after compression is complete & Suction Temperature of Refrigerant is the temperature of the refrigerant at the suction port of a single stage compressor during the compression process.

How to calculate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?

Work done during isentropic Compression given Specific Heat Capacity Constant Pressure formula is defined as the energy transferred during the compression process of a refrigerant in a single stage compressor, where the temperature of the refrigerant changes from the initial to the final state, and is a critical parameter in evaluating the compressor's performance is calculated using Work done per minute during Isentropic Compression = Mass of Refrigerant in kg per minute*Specific Heat Capacity at Constant Pressure*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant). To calculate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure, you need Mass of Refrigerant in kg per minute (m), Specific Heat Capacity at Constant Pressure (C_p), Discharge Temperature of Refrigerant (T_discharge) & Suction Temperature of Refrigerant (T_refrigerant). With our tool, you need to enter the respective value for Mass of Refrigerant in kg per minute, Specific Heat Capacity at Constant Pressure, Discharge Temperature of Refrigerant & Suction Temperature of Refrigerant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Work done per minute during Isentropic Compression?

In this formula, Work done per minute during Isentropic Compression uses Mass of Refrigerant in kg per minute, Specific Heat Capacity at Constant Pressure, Discharge Temperature of Refrigerant & Suction Temperature of Refrigerant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Work done per minute during Isentropic Compression = (Isentropic Index/(Isentropic Index-1))*Mass of Refrigerant in kg per minute*[R]*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant)

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