Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp 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%
✖Mass of Refrigerant in kg per minute is defined as the quantity of refrigerant flowing through a system per minute, measured in kilograms.ⓘ Mass of Refrigerant in kg per minute [m]			+10% -10%
✖Suction temperature at Low pressure Compressor is the temperature of the refrigerant at the suction side of the low-pressure compressor in a two-stage compression system.ⓘ Suction Temperature at Low Pressure Compressor [T₁]			+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%
✖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%

✖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 Temp [w]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
w = (n_c/(n_c-1))*m*[R]*T₁*((P₂/P₁)^((n_c-1)/n_c)-1)
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
Mass of Refrigerant in kg per minute - (Measured in Kilogram per Second) - Mass of Refrigerant in kg per minute is defined as the quantity of refrigerant flowing through a system per minute, measured in kilograms.
Suction Temperature at Low Pressure Compressor - (Measured in Kelvin) - Suction temperature at Low pressure Compressor is the temperature of the refrigerant at the suction side of the low-pressure compressor in a two-stage compression system.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Polytropic Index for Compression: 1.2 --> No Conversion Required
Mass of Refrigerant in kg per minute: 2 Kilogram per Minute --> 0.0333333333333333 Kilogram per Second (Check conversion here)
Suction Temperature at Low Pressure Compressor: 7216 Kelvin --> 7216 Kelvin No Conversion Required
Discharge Pressure of Low Pressure Compressor: 7 Bar --> 700000 Pascal (Check conversion here)
Suction Pressure of Low Pressure Compressor: 0.002 Bar --> 200 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (n_c/(n_c-1))*m*[R]*T₁*((P₂/P₁)^((n_c-1)/n_c)-1) --> (1.2/(1.2-1))*0.0333333333333333*[R]*7216*((700000/200)^((1.2-1)/1.2)-1)

Evaluating ... ...

w = 34756.7142566426

STEP 3: Convert Result to Output's Unit

34756.7142566426 Joule --> No Conversion Required

FINAL ANSWER

34756.7142566426 ≈ 34756.71 Joule <-- Work Done per Cycle

(Calculation completed in 00.051 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 Temp

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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 Temp 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 Low Pressure Compressor during incomplete intercooling given Suction Temp?

Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp calculator uses 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) to calculate the Work Done per Cycle, Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp formula is defined as the energy expended by the compressor in a single cycle when the intercooling process is incomplete and the suction temperature is known. 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 Temp using this online calculator? To use this online calculator for Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp, enter Polytropic Index for Compression (n_c), Mass of Refrigerant in kg per minute (m), Suction Temperature at Low Pressure Compressor (T₁), Discharge Pressure of Low Pressure Compressor (P₂) & Suction Pressure of Low Pressure Compressor (P₁) and hit the calculate button. Here is how the Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp calculation can be explained with given input values -> 34761.53 = (1.2/(1.2-1))*0.0333333333333333*[R]*7216*((700000/200)^((1.2-1)/1.2)-1).

FAQ

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

Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp formula is defined as the energy expended by the compressor in a single cycle when the intercooling process is incomplete and the suction temperature is known and is represented as w = (n_c/(n_c-1))*m*[R]*T₁*((P₂/P₁)^((n_c-1)/n_c)-1) or 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). 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, Mass of Refrigerant in kg per minute is defined as the quantity of refrigerant flowing through a system per minute, measured in kilograms, Suction temperature at Low pressure Compressor is the temperature of the refrigerant at the suction side of the low-pressure compressor in a two-stage compression system, 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 & 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.

How to calculate Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp?

Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp formula is defined as the energy expended by the compressor in a single cycle when the intercooling process is incomplete and the suction temperature is known is calculated using 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). To calculate Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp, you need Polytropic Index for Compression (n_c), Mass of Refrigerant in kg per minute (m), Suction Temperature at Low Pressure Compressor (T₁), Discharge Pressure of Low Pressure Compressor (P₂) & Suction Pressure of Low Pressure Compressor (P₁). With our tool, you need to enter the respective value for Polytropic Index for Compression, Mass of Refrigerant in kg per minute, Suction Temperature at Low Pressure Compressor, Discharge Pressure of Low Pressure Compressor & Suction 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, Mass of Refrigerant in kg per minute, Suction Temperature at Low Pressure Compressor, Discharge Pressure of Low Pressure Compressor & Suction 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))*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))*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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