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

⤿

Refrigerant Compressors

Air Conditioning Systems

Air Refrigeration Cycles

Air Refrigeration Systems

Ducts

Enthalpy of Saturated Air

Heat Transfer

Psychrometry

Thermodynamics Factor

⤿

Work Done by Two-Stage Compressor

Factors of Compressor

Minimum Work

Power Required

Volume

Work Done by Reciprocating Compressor with Clearance Volume

Work Done by Single-Stage Compressor

✖Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.ⓘ Polytropic Index for Compression [n_c]			+10% -10%
✖The Suction pressure of Low pressure compressor is the pressure of the refrigerant at the point where it enters the Low pressure compressor. It is also called Evaporator pressure.ⓘ Suction Pressure of Low Pressure Compressor [P₁]			+10% -10%
✖Suction volume is the volume of refrigerant sucked by the compressor during its suction stroke.ⓘ Suction volume [V₁]			+10% -10%
✖The Discharge pressure of Low pressure compressor is the pressure of the refrigerant at the point where it exits the Low-Pressure compressor. It is also called Pressure at the entry of intercooler.ⓘ Discharge Pressure of Low Pressure Compressor [P₂]			+10% -10%

✖Work Done per cycle is the total amount of heat absorbed per cycle by the working substance from the source.ⓘ Work done per cycle in Low pressure Compressor during incomplete intercooling given suction volume [w]

⎘ Copy

👎

Formula

✖

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

Formula

`"w" = ("n"_{"c"}/("n"_{"c"}-1))*"P"_{"1"}*"V"_{"1"}*(("P"_{"2"}/"P"_{"1"})^(("n"_{"c"}-1)/"n"_{"c"})-1)`

Example

`"34758.36J"=("1.2"/("1.2"-1))*"0.002Bar"*"10m³"*(("7Bar"/"0.002Bar")^(("1.2"-1)/"1.2")-1)`

Calculator

LaTeX

Reset

👍

Download Refrigeration and Air Conditioning Formula PDF PDF Image

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 amount of heat absorbed per cycle by the working substance from the source.
Polytropic Index for Compression - Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.
Suction Pressure of Low Pressure Compressor - (Measured in Pascal) - The Suction pressure of Low pressure compressor is the pressure of the refrigerant at the point where it enters the Low pressure compressor. It is also called Evaporator pressure.
Suction volume - (Measured in Cubic Meter) - Suction volume is the volume of refrigerant sucked by the compressor during its suction stroke.
Discharge Pressure of Low Pressure Compressor - (Measured in Pascal) - The Discharge pressure of Low pressure compressor is the pressure of the refrigerant at the point where it exits the Low-Pressure compressor. It is also called Pressure at the entry of intercooler.

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 00.004 seconds)

You are here -

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

Credits

Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

sanjay shiva has verified this Calculator and 100+ more calculators!

< 8 Work Done by Two-Stage Compressor Calculators

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

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))+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 in Compressor during Incomplete Intercooling given Volume

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)+(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Discharge Pressure of Low Pressure Compressor*Discharge Volume*((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 Complete Intercooling given Suction Volume

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)+(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-2)

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

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)+(Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-2)

Work done per cycle in High Pressure Compressor during incomplete intercooling given suction Temp

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 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)

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

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

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

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 work done by the two-stage reciprocating compressor per cycle when the intercooling is not perfect or incomplete. 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 work done by the two-stage reciprocating compressor per cycle when the intercooling is not perfect or incomplete 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 that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index, The Suction pressure of Low pressure compressor is the pressure of the refrigerant at the point where it enters the Low pressure compressor. It is also called Evaporator pressure, Suction volume is the volume of refrigerant sucked by the compressor during its suction stroke & The Discharge pressure of Low pressure compressor is the pressure of the refrigerant at the point where it exits the Low-Pressure compressor. It is also called Pressure at the entry of intercooler.

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 work done by the two-stage reciprocating compressor per cycle when the intercooling is not perfect or incomplete 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 7 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))+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 = (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/(Polytropic Index for Compression-1))*Discharge Pressure of Low Pressure Compressor*Discharge Volume*((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 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*((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)
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)
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)

Home

FREE PDFs

🔍 Search