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)
WIsentropic = m*Cp*(Tdischarge-Trefrigerant)
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 per minute is the Work done on the system during the isentropic compression of refrigerant.
Mass of refrigerant in kg per minute - (Measured in Kilogram per Second) - Mass of refrigerant in kg per minute is the mass on or by which the work is done.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - The Specific Heat Capacity at Constant Pressure , Cp ( of a gas ) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Discharge Temperature of Refrigerant - (Measured in Kelvin) - The Discharge temperature of refrigerant is the temperature of refrigerant at the outlet or during the discharge stroke.
Suction Temperature of Refrigerant - (Measured in Kelvin) - The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.
STEP 1: Convert Input(s) to Base Unit
Mass of refrigerant in kg per minute: 2 Kilogram per Minute --> 0.0333333333333333 Kilogram per Second (Check conversion here)
Specific Heat Capacity at Constant Pressure: 1.005 Joule per Kilogram per K --> 1.005 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
WIsentropic = m*Cp*(Tdischarge-Trefrigerant) --> 0.0333333333333333*1.005*(450-350)
Evaluating ... ...
WIsentropic = 3.35
STEP 3: Convert Result to Output's Unit
3.35 Joule per Second -->201 Joule per Minute (Check conversion here)
FINAL ANSWER
201 Joule per Minute <-- Work done per minute during Isentropic Compression
(Calculation completed in 00.004 seconds)

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8 Work done by Single-Stage, Single Acting Reciprocating Compressor without Clearance Volume Calculators

Work done during polytropic compression
Go Work done per minute during Polytropic Compression = (Polytropic Index/(Polytropic Index-1))*Mass of refrigerant in kg per minute*[R]*(Discharge Temperature of Refrigerant-Suction Temperature of Refrigerant)
Work done during isentropic compression
Go 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)
Work done during Isothermal Compression given Temperature and Pressure Ratio
Go Work done per minute during Isothermal Compression = 2.3*Mass of refrigerant in kg per minute*[R]*Suction Temperature of Refrigerant*ln(Discharge Pressure of Refrigerant/Suction pressure)
Work done during Isothermal Compression given Temperature and Volume Ratio
Go Work done per minute during Isothermal Compression = 2.3*Mass of refrigerant in kg per minute*[R]*Suction Temperature of Refrigerant*ln(Suction volume/Discharge Volume)
Work done during isentropic Compression given Specific Heat Capacity Constant Pressure
Go 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)
Work done during Isothermal Compression given Volume and Pressure Ratio
Go Work done per minute during Isothermal Compression = 2.3*Suction pressure*Suction volume*ln(Discharge Pressure of Refrigerant/Suction pressure)
Work done during Isothermal Compression given Pressure and Volume Ratio
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
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

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)
WIsentropic = m*Cp*(Tdischarge-Trefrigerant)

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, The Work done during isentropic Compression given Specific Heat Capacity Constant Pressure calculates the work done on the system during the isentropic compression of refrigerant. Work done per minute during Isentropic Compression is denoted by WIsentropic 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 (Cp), Discharge Temperature of Refrigerant (Tdischarge) & Suction Temperature of Refrigerant (Trefrigerant) 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 -> 12060 = 0.0333333333333333*1.005*(450-350).

FAQ

What is Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?
The Work done during isentropic Compression given Specific Heat Capacity Constant Pressure calculates the work done on the system during the isentropic compression of refrigerant and is represented as WIsentropic = m*Cp*(Tdischarge-Trefrigerant) 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 mass on or by which the work is done, The Specific Heat Capacity at Constant Pressure , Cp ( of a gas ) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure, The Discharge temperature of refrigerant is the temperature of refrigerant at the outlet or during the discharge stroke & The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.
How to calculate Work done during isentropic Compression given Specific Heat Capacity Constant Pressure?
The Work done during isentropic Compression given Specific Heat Capacity Constant Pressure calculates the work done on the system during the isentropic compression of refrigerant 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 (Cp), Discharge Temperature of Refrigerant (Tdischarge) & Suction Temperature of Refrigerant (Trefrigerant). 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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