Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature Calculator

✖Polytropic Index for Compression is a measure of the efficiency of a two-stage compressor, indicating the degree of isentropic compression in a real compression process.ⓘ Polytropic Index for Compression [n_c]			+10% -10%
✖Suction Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor in a two-stage compressor system draws in air or gas.ⓘ Suction Pressure of Low Pressure Compressor [P₁]			+10% -10%
✖Suction volume is the volume of air drawn into the compressor's cylinder during the suction stroke of the compression process.ⓘ Suction Volume [V₁]			+10% -10%
✖Discharge Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor stage of a two-stage compressor discharges compressed air or gas.ⓘ Discharge Pressure of Low Pressure Compressor [P₂]			+10% -10%
✖Discharge Pressure of High Pressure Compressor is the pressure at which the high-pressure compressor stage of a two-stage compressor discharges compressed air or gas.ⓘ Discharge Pressure of High Pressure Compressor [P₃]			+10% -10%

✖Total Work Done per cycle is the total energy transferred per cycle in a two-stage compressor, which involves compression in two stages with intermediate cooling.ⓘ Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature [w_t]

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Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)+(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-2)
w_t = (n_c/(n_c-1))*P₁*V₁*((P₂/P₁)^((n_c-1)/n_c)+(P₃/P₂)^((n_c-1)/n_c)-2)
This formula uses 6 Variables

Variables Used

Total Work Done per Cycle - (Measured in Joule) - Total Work Done per cycle is the total energy transferred per cycle in a two-stage compressor, which involves compression in two stages with intermediate cooling.
Polytropic Index for Compression - Polytropic Index for Compression is a measure of the efficiency of a two-stage compressor, indicating the degree of isentropic compression in a real compression process.
Suction Pressure of Low Pressure Compressor - (Measured in Pascal) - Suction Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor in a two-stage compressor system draws in air or gas.
Suction Volume - (Measured in Cubic Meter) - Suction volume is the volume of air drawn into the compressor's cylinder during the suction stroke of the compression process.
Discharge Pressure of Low Pressure Compressor - (Measured in Pascal) - Discharge Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor stage of a two-stage compressor discharges compressed air or gas.
Discharge Pressure of High Pressure Compressor - (Measured in Pascal) - Discharge Pressure of High Pressure Compressor is the pressure at which the high-pressure compressor stage of a two-stage compressor discharges compressed air or gas.

STEP 1: Convert Input(s) to Base Unit

Polytropic Index for Compression: 1.2 --> No Conversion Required
Suction Pressure of Low Pressure Compressor: 0.002 Bar --> 200 Pascal (Check conversion here)
Suction Volume: 10 Cubic Meter --> 10 Cubic Meter No Conversion Required
Discharge Pressure of Low Pressure Compressor: 7 Bar --> 700000 Pascal (Check conversion here)
Discharge Pressure of High Pressure Compressor: 15 Bar --> 1500000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_t = (n_c/(n_c-1))*P₁*V₁*((P₂/P₁)^((n_c-1)/n_c)+(P₃/P₂)^((n_c-1)/n_c)-2) --> (1.2/(1.2-1))*200*10*((700000/200)^((1.2-1)/1.2)+(1500000/700000)^((1.2-1)/1.2)-2)

Evaluating ... ...

w_t = 36383.6804327

STEP 3: Convert Result to Output's Unit

36383.6804327 Joule --> No Conversion Required

FINAL ANSWER

36383.6804327 ≈ 36383.68 Joule <-- Total Work Done per Cycle

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Refrigerant Compressors » Mechanical » Work Done by Two Stage Compressor » Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature

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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 Two Stage Compressor Calculators

Total Work done per cycle in Compressor during Incomplete Intercooling given Volume

LaTeX Go Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume of High Pressure Compressor*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-1)+(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Discharge Pressure of Low Pressure Compressor*Discharge Volume of High Pressure Compressor*((Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-1)

Total Work done per cycle in Compressor during incomplete Intercooling given Temperature

LaTeX Go Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of Refrigerant in kg per minute*[R]*((Suction Temperature at Low Pressure Compressor*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression))+Temperature at Exit of Intercooler*(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-Suction Temperature at Low Pressure Compressor-Temperature at Exit of Intercooler)

Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp

LaTeX Go Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of Refrigerant in kg per minute*[R]*Suction Temperature at Low Pressure Compressor*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-1)

Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume

LaTeX Go Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-1)

Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature Formula

LaTeX Go

What is an Intercooler?

An intercooler is a mechanical device used to cool a gas after compression. Compressing a gas increases its internal energy which in turn raises its temperature. An intercooler typically takes the form of a heat exchanger that removes waste heat in a gas compressor.

How to Calculate Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature?

Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature calculator uses Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)+(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-2) to calculate the Total Work Done per Cycle, Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature formula is defined as the energy transferred per cycle in a two-stage compressor with complete intercooling, considering the suction temperature, and is a crucial parameter in evaluating the compressor's performance and efficiency. Total Work Done per Cycle is denoted by w_t symbol.

How to calculate Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature using this online calculator? To use this online calculator for Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature, enter Polytropic Index for Compression (n_c), Suction Pressure of Low Pressure Compressor (P₁), Suction Volume (V₁), Discharge Pressure of Low Pressure Compressor (P₂) & Discharge Pressure of High Pressure Compressor (P₃) and hit the calculate button. Here is how the Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature calculation can be explained with given input values -> 36383.68 = (1.2/(1.2-1))*200*10*((700000/200)^((1.2-1)/1.2)+(1500000/700000)^((1.2-1)/1.2)-2).

FAQ

What is Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature?

Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature formula is defined as the energy transferred per cycle in a two-stage compressor with complete intercooling, considering the suction temperature, and is a crucial parameter in evaluating the compressor's performance and efficiency and is represented as w_t = (n_c/(n_c-1))*P₁*V₁*((P₂/P₁)^((n_c-1)/n_c)+(P₃/P₂)^((n_c-1)/n_c)-2) or Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)+(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-2). Polytropic Index for Compression is a measure of the efficiency of a two-stage compressor, indicating the degree of isentropic compression in a real compression process, Suction Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor in a two-stage compressor system draws in air or gas, Suction volume is the volume of air drawn into the compressor's cylinder during the suction stroke of the compression process, Discharge Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor stage of a two-stage compressor discharges compressed air or gas & Discharge Pressure of High Pressure Compressor is the pressure at which the high-pressure compressor stage of a two-stage compressor discharges compressed air or gas.

How to calculate Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature?

Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature formula is defined as the energy transferred per cycle in a two-stage compressor with complete intercooling, considering the suction temperature, and is a crucial parameter in evaluating the compressor's performance and efficiency is calculated using Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)+(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-2). To calculate Total Work done per cycle in Compressor during Complete Intercooling given Suction Temperature, you need Polytropic Index for Compression (n_c), Suction Pressure of Low Pressure Compressor (P₁), Suction Volume (V₁), Discharge Pressure of Low Pressure Compressor (P₂) & Discharge Pressure of High Pressure Compressor (P₃). With our tool, you need to enter the respective value for Polytropic Index for Compression, Suction Pressure of Low Pressure Compressor, Suction Volume, Discharge Pressure of Low Pressure Compressor & Discharge Pressure of High Pressure Compressor 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 Total Work Done per Cycle?

In this formula, Total Work Done per Cycle uses Polytropic Index for Compression, Suction Pressure of Low Pressure Compressor, Suction Volume, Discharge Pressure of Low Pressure Compressor & Discharge Pressure of High Pressure Compressor. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of Refrigerant in kg per minute*[R]*((Suction Temperature at Low Pressure Compressor*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression))+Temperature at Exit of Intercooler*(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-Suction Temperature at Low Pressure Compressor-Temperature at Exit of Intercooler)
Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume of High Pressure Compressor*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-1)+(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Discharge Pressure of Low Pressure Compressor*Discharge Volume of High Pressure Compressor*((Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-1)
Total Work Done per Cycle = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of Refrigerant in kg per minute*[R]*Suction Temperature at Low Pressure Compressor*((Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)+(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-2)

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