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 Mass Flow Rate*[R]*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1))
Ts = (nc-1)/(nc*m*[R]*((P2/P1)^((nc-1)/nc)-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 is a parameter that defines the relationship between pressure and volume during a thermodynamic process. It indicates how heat is transferred during compression.
Mass of Refrigerant Mass Flow Rate - (Measured in Kilogram per Second) - Mass of Refrigerant Mass Flow Rate is the mass on or by which the work is done or the mass of fluid is moved through the system.
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 Mass Flow Rate: 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
Ts = (nc-1)/(nc*m*[R]*((P2/P1)^((nc-1)/nc)-1)) --> (1.3-1)/(1.3*0.0333333333333333*[R]*((800000/101300)^((1.3-1)/1.3)-1))
Evaluating ... ...
Ts = 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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Suction Temperature given Work done by Compressor Formula

​LaTeX ​Go
Suction Temperature of Refrigerant = (Polytropic index of Compression-1)/(Polytropic index of Compression*Mass of Refrigerant Mass Flow Rate*[R]*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1))
Ts = (nc-1)/(nc*m*[R]*((P2/P1)^((nc-1)/nc)-1))

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 Mass Flow Rate*[R]*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1)) to calculate the Suction Temperature of Refrigerant, Suction Temperature given Work done by Compressor formula is defined as the temperature of the refrigerant at the suction side of the compressor, which is a critical parameter in refrigeration systems, influencing the overall performance and efficiency of the system. Suction Temperature of Refrigerant is denoted by Ts 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 (nc), Mass of Refrigerant Mass Flow Rate (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 -> -5.537893 = (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?
Suction Temperature given Work done by Compressor formula is defined as the temperature of the refrigerant at the suction side of the compressor, which is a critical parameter in refrigeration systems, influencing the overall performance and efficiency of the system and is represented as Ts = (nc-1)/(nc*m*[R]*((P2/P1)^((nc-1)/nc)-1)) or Suction Temperature of Refrigerant = (Polytropic index of Compression-1)/(Polytropic index of Compression*Mass of Refrigerant Mass Flow Rate*[R]*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1)). Polytropic index of compression is a parameter that defines the relationship between pressure and volume during a thermodynamic process. It indicates how heat is transferred during compression, Mass of Refrigerant Mass Flow Rate is the mass on or by which the work is done or the mass of fluid is moved through the system, 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?
Suction Temperature given Work done by Compressor formula is defined as the temperature of the refrigerant at the suction side of the compressor, which is a critical parameter in refrigeration systems, influencing the overall performance and efficiency of the system is calculated using Suction Temperature of Refrigerant = (Polytropic index of Compression-1)/(Polytropic index of Compression*Mass of Refrigerant Mass Flow Rate*[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 (nc), Mass of Refrigerant Mass Flow Rate (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 Mass Flow Rate, 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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