Suction Temperature given Work done by Compressor Calculator

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Work Done by Reciprocating Compressor with Clearance Volume

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✖Polytropic index of compression.ⓘ Polytropic index of compression [n_c]			+10% -10%
✖Mass of refrigerant in kg per minute is the mass on or by which the work is done.ⓘ Mass of refrigerant in kg per minute [m]			+10% -10%
✖The discharge pressure of refrigerant is the pressure of the refrigerant after the compression stage or it is the pressure of the refrigerant at the discharge.ⓘ Discharge Pressure of Refrigerant [P₂]			+10% -10%
✖The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant.ⓘ Suction pressure [P₁]			+10% -10%

✖The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.ⓘ Suction Temperature given Work done by Compressor [T_refrigerant]

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Formula

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Suction Temperature given Work done by Compressor

Formula

`"T"_{"refrigerant"} = ("n"_{"c"}-1)/("n"_{"c"}*"m"*"[R]"*(("P"_{"2"}/"P"_{"1"})^(("n"_{"c"}-1)/"n"_{"c"})-1))`

Example

`"1.362647K"=("1.3"-1)/("1.3"*"2kg/min"*"[R]"*(("8Bar"/"1.013Bar")^(("1.3"-1)/"1.3")-1))`

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Suction Temperature given Work done by Compressor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Suction Temperature of Refrigerant = (Polytropic index of compression-1)/(Polytropic index of compression*Mass of refrigerant in kg per minute*[R]*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1))
T_refrigerant = (n_c-1)/(n_c*m*[R]*((P₂/P₁)^((n_c-1)/n_c)-1))
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Suction Temperature of Refrigerant - (Measured in Kelvin) - The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.
Polytropic index of compression - Polytropic index of compression.
Mass of refrigerant in kg per minute - (Measured in Kilogram per Second) - Mass of refrigerant in kg per minute is the mass on or by which the work is done.
Discharge Pressure of Refrigerant - (Measured in Pascal) - The discharge pressure of refrigerant is the pressure of the refrigerant after the compression stage or it is the pressure of the refrigerant at the discharge.
Suction pressure - (Measured in Pascal) - The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant.

STEP 1: Convert Input(s) to Base Unit

Polytropic index of compression: 1.3 --> No Conversion Required
Mass of refrigerant in kg per minute: 2 Kilogram per Minute --> 0.0333333333333333 Kilogram per Second (Check conversion here)
Discharge Pressure of Refrigerant: 8 Bar --> 800000 Pascal (Check conversion here)
Suction pressure: 1.013 Bar --> 101300 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_refrigerant = (n_c-1)/(n_c*m*[R]*((P₂/P₁)^((n_c-1)/n_c)-1)) --> (1.3-1)/(1.3*0.0333333333333333*[R]*((800000/101300)^((1.3-1)/1.3)-1))

Evaluating ... ...

T_refrigerant = 1.36264673583403

STEP 3: Convert Result to Output's Unit

1.36264673583403 Kelvin --> No Conversion Required

FINAL ANSWER

1.36264673583403 ≈ 1.362647 Kelvin <-- Suction Temperature of Refrigerant

(Calculation completed in 00.004 seconds)

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Created by Abhishek Dharmendra Bansile

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

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< 15 Volume Calculators

Work Done given Polytropic Index for Compression and Expansion

Go Work Done per cycle = (Polytropic index of compression/(Polytropic index of compression-1))*Suction pressure*Total Volume of Refrigerant in Compressor*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)-(Polytropic index of Expansion/(Polytropic index of Expansion-1))*Suction pressure*Expanded clearance volume*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of Expansion-1)/Polytropic index of Expansion)-1)

Work Done by Reciprocating Compressor given Volume before Compression and after Expansion

Go Work Done per cycle = (Polytropic index of compression/(Polytropic index of compression-1))*(Suction pressure*(Total Volume of Refrigerant in Compressor-Expanded clearance volume))*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)

Work done by Reciprocating Compressor given Suction Temperature

Go Work Done per cycle = (Polytropic index of compression/(Polytropic index of compression-1))*Mass of refrigerant in kg per minute*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)

Suction Temperature given Work done by Compressor

Go Suction Temperature of Refrigerant = (Polytropic index of compression-1)/(Polytropic index of compression*Mass of refrigerant in kg per minute*[R]*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1))

Volumetric Efficiency in Compressor given Clearance Factor

Go Volumetric Efficiency of Compressor = 1+Clearance factor-(Clearance factor*(Discharge Pressure of Refrigerant/Suction pressure)^(1/Polytropic Index for Compression))

Total Volume of Refrigerant in Compressor given Clearance Factor

Go Total Volume of Refrigerant in Compressor = (Clearance volume/Clearance factor)+Clearance volume

Clearance factor

Go Clearance factor = Clearance volume/(Total Volume of Refrigerant in Compressor-Clearance volume)

Total Volume of Refrigerant in Compressor given Actual Volume

Go Total Volume of Refrigerant in Compressor = Actual volume of Refrigerant+Expanded clearance volume

Expanded Clearance Volume given Actual Volume of Compressor

Go Expanded clearance volume = Total Volume of Refrigerant in Compressor-Actual volume of Refrigerant

Actual volume of refrigerant

Go Actual volume of Refrigerant = Total Volume of Refrigerant in Compressor-Expanded clearance volume

Actual Volume of Refrigerant given Volumetric Efficiency

Go Actual volume of Refrigerant = Volumetric Efficiency of Compressor*Stroke Volume of Compressor

Stroke Volume of Compressor given Volumetric efficiency

Go Stroke Volume of Compressor = Actual volume of Refrigerant/Volumetric Efficiency of Compressor

Total Volume of Refrigerant in Compressor given Stroke Volume of Compressor

Go Total Volume of Refrigerant in Compressor = Stroke Volume of Compressor+Clearance volume

Clearance Volume of Compressor given Stroke Volume

Go Clearance volume = Total Volume of Refrigerant in Compressor-Stroke Volume of Compressor

Stroke Volume of Compressor

Go Stroke Volume of Compressor = Total Volume of Refrigerant in Compressor-Clearance volume

Suction Temperature given Work done by Compressor Formula

What is difference between adiabatic index and polytropic index?

The polytropic process is a general process for which PV^n=constant. But the adiabatic process is a particular case of the polytropic process for which n=gamma, i.e., PV^gamma=constant. In the adiabatic process, no heat transfer takes place whereas for polytropic processes heat transfer may or may not take place.

How to Calculate Suction Temperature given Work done by Compressor?

Suction Temperature given Work done by Compressor calculator uses Suction Temperature of Refrigerant = (Polytropic index of compression-1)/(Polytropic index of compression*Mass of refrigerant in kg per minute*[R]*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)) to calculate the Suction Temperature of Refrigerant, The Suction Temperature given Work done by Compressor formula is defined as the temperature at which the refrigerant is Sucked inside the compressor. Suction Temperature of Refrigerant is denoted by T_refrigerant symbol.

How to calculate Suction Temperature given Work done by Compressor using this online calculator? To use this online calculator for Suction Temperature given Work done by Compressor, enter Polytropic index of compression (n_c), Mass of refrigerant in kg per minute (m), Discharge Pressure of Refrigerant (P₂) & Suction pressure (P₁) and hit the calculate button. Here is how the Suction Temperature given Work done by Compressor calculation can be explained with given input values -> 1.362647 = (1.3-1)/(1.3*0.0333333333333333*[R]*((800000/101300)^((1.3-1)/1.3)-1)).

FAQ

What is Suction Temperature given Work done by Compressor?

The Suction Temperature given Work done by Compressor formula is defined as the temperature at which the refrigerant is Sucked inside the compressor and is represented as T_refrigerant = (n_c-1)/(n_c*m*[R]*((P₂/P₁)^((n_c-1)/n_c)-1)) or Suction Temperature of Refrigerant = (Polytropic index of compression-1)/(Polytropic index of compression*Mass of refrigerant in kg per minute*[R]*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)). Polytropic index of compression, Mass of refrigerant in kg per minute is the mass on or by which the work is done, The discharge pressure of refrigerant is the pressure of the refrigerant after the compression stage or it is the pressure of the refrigerant at the discharge & The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant.

How to calculate Suction Temperature given Work done by Compressor?

The Suction Temperature given Work done by Compressor formula is defined as the temperature at which the refrigerant is Sucked inside the compressor is calculated using Suction Temperature of Refrigerant = (Polytropic index of compression-1)/(Polytropic index of compression*Mass of refrigerant in kg per minute*[R]*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)). To calculate Suction Temperature given Work done by Compressor, you need Polytropic index of compression (n_c), Mass of refrigerant in kg per minute (m), Discharge Pressure of Refrigerant (P₂) & Suction pressure (P₁). With our tool, you need to enter the respective value for Polytropic index of compression, Mass of refrigerant in kg per minute, Discharge Pressure of Refrigerant & Suction pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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