Work done per cycle in High 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%
✖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 volume of Low Pressure Compressor is the volume of air or gas discharged by the low-pressure compressor in a two-stage compression system.ⓘ Discharge Volume of Low Pressure Compressor [V₂]			+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%

✖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 High pressure Compressor during incomplete intercooling given suction volume [w]

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Work done per cycle in High 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))*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)
w = (n_c/(n_c-1))*P₂*V₂*((P₃/P₂)^((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.
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 Volume of Low Pressure Compressor - (Measured in Cubic Meter) - Discharge volume of Low Pressure Compressor is the volume of air or gas discharged by the low-pressure compressor in a two-stage compression system.
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
Discharge Pressure of Low Pressure Compressor: 7 Bar --> 700000 Pascal (Check conversion here)
Discharge Volume of Low Pressure Compressor: 0.0611 Cubic Meter --> 0.0611 Cubic Meter No Conversion Required
Discharge Pressure of High Pressure Compressor: 15 Bar --> 1500000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (n_c/(n_c-1))*P₂*V₂*((P₃/P₂)^((n_c-1)/n_c)-1) --> (1.2/(1.2-1))*700000*0.0611*((1500000/700000)^((1.2-1)/1.2)-1)

Evaluating ... ...

w = 34757.5163599715

STEP 3: Convert Result to Output's Unit

34757.5163599715 Joule --> No Conversion Required

FINAL ANSWER

34757.5163599715 ≈ 34757.52 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 High 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 High pressure Compressor during incomplete intercooling given suction volume Formula

LaTeX Go

Advantages of Multi-stage Compression.

1. The work done per kg of refrigerant is reduced in multi-stage compression with intercooler as compared to single-stage compression for the same delivery pressure.
2. It improves the volumetric efficiency for the given pressure ratio.
3. The sizes of the two cylinders (i.e. high pressure and low pressure cylinders) may be adjusted to suit the volume and pressure of refrigerant.
4. It reduces the leakage loss considerably.
5. It gives more uniform torque, and hence a smaller size flywheel is required.
6. It provides effective lubrication because of lower temperature range.
7. It reduces the cost of compressor.

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

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume calculator uses 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) to calculate the Work Done per Cycle, Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume formula is defined as the energy transferred per cycle in a high-pressure compressor during incomplete intercooling, considering the suction volume, which is a critical parameter in evaluating the compressor's performance. Work Done per Cycle is denoted by w symbol.

How to calculate Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume using this online calculator? To use this online calculator for Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume, enter Polytropic Index for Compression (n_c), Discharge Pressure of Low Pressure Compressor (P₂), Discharge Volume of Low Pressure Compressor (V₂) & Discharge Pressure of High Pressure Compressor (P₃) and hit the calculate button. Here is how the Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume calculation can be explained with given input values -> 347575.2 = (1.2/(1.2-1))*700000*0.0611*((1500000/700000)^((1.2-1)/1.2)-1).

FAQ

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

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume formula is defined as the energy transferred per cycle in a high-pressure compressor during incomplete intercooling, considering the suction volume, which is a critical parameter in evaluating the compressor's performance and is represented as w = (n_c/(n_c-1))*P₂*V₂*((P₃/P₂)^((n_c-1)/n_c)-1) or 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). 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, 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 volume of Low Pressure Compressor is the volume of air or gas discharged by the low-pressure compressor in a two-stage compression system & 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 Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume?

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume formula is defined as the energy transferred per cycle in a high-pressure compressor during incomplete intercooling, considering the suction volume, which is a critical parameter in evaluating the compressor's performance is calculated using 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). To calculate Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume, you need Polytropic Index for Compression (n_c), Discharge Pressure of Low Pressure Compressor (P₂), Discharge Volume of Low Pressure Compressor (V₂) & Discharge Pressure of High Pressure Compressor (P₃). With our tool, you need to enter the respective value for Polytropic Index for Compression, Discharge Pressure of Low Pressure Compressor, Discharge Volume 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 Work Done per Cycle?

In this formula, Work Done per Cycle uses Polytropic Index for Compression, Discharge Pressure of Low Pressure Compressor, Discharge Volume 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 -

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 = (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))*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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