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

✖Work Done per cycle is the total energy transferred per cycle of a two-stage compressor, which is essential to determine the compressor's performance.ⓘ Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume [w]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
w = (n_c/(n_c-1))*P₁*V₁*((P₂/P₁)^((n_c-1)/n_c)-1)
This formula uses 5 Variables

Variables Used

Work Done per Cycle - (Measured in Joule) - Work Done per cycle is the total energy transferred per cycle of a two-stage compressor, which is essential to determine the compressor's performance.
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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (n_c/(n_c-1))*P₁*V₁*((P₂/P₁)^((n_c-1)/n_c)-1) --> (1.2/(1.2-1))*200*10*((700000/200)^((1.2-1)/1.2)-1)

Evaluating ... ...

w = 34758.3581806555

STEP 3: Convert Result to Output's Unit

34758.3581806555 Joule --> No Conversion Required

FINAL ANSWER

34758.3581806555 ≈ 34758.36 Joule <-- Work Done per Cycle

(Calculation completed in 00.020 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Refrigerant Compressors » Mechanical » Work Done by Two Stage Compressor » Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume

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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)

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

LaTeX Go

lncomplete or imperfect intercooling

When the temperature of refrigerant leaving the intercooler (i.e. T3) is more than the suction temperature of the refrigerant (i.e. T1 ), the intercooler. said to be incomplete or imperfect intercooling. In this case, the point 3 lies on the right side of the isothermal curve.

How to Calculate Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume?

Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume calculator uses 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) to calculate the Work Done per Cycle, Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume formula is defined as the energy transferred per cycle in a low-pressure compressor during incomplete intercooling, which is a critical parameter in evaluating the performance of a two-stage compressor system. Work Done per Cycle is denoted by w symbol.

How to calculate Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume using this online calculator? To use this online calculator for Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume, enter Polytropic Index for Compression (n_c), Suction Pressure of Low Pressure Compressor (P₁), Suction Volume (V₁) & Discharge Pressure of Low Pressure Compressor (P₂) and hit the calculate button. Here is how the Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume calculation can be explained with given input values -> 34758.36 = (1.2/(1.2-1))*200*10*((700000/200)^((1.2-1)/1.2)-1).

FAQ

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

Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume formula is defined as the energy transferred per cycle in a low-pressure compressor during incomplete intercooling, which is a critical parameter in evaluating the performance of a two-stage compressor system and is represented as w = (n_c/(n_c-1))*P₁*V₁*((P₂/P₁)^((n_c-1)/n_c)-1) or 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). 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.

How to calculate Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume?

Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume formula is defined as the energy transferred per cycle in a low-pressure compressor during incomplete intercooling, which is a critical parameter in evaluating the performance of a two-stage compressor system is calculated using 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). To calculate Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume, 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). 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 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 Cycle?

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

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

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