Suction Temperature at Low pressure compressor when Cooling ratio is constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Suction Temperature at Low Pressure Compressor = Discharge Temperature at High Pressure Compressor/(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression))
T1 = T3/(q+(1-q)*(P2/P1)^((nc-1)/nc))
This formula uses 6 Variables
Variables Used
Suction Temperature at Low Pressure Compressor - (Measured in Kelvin) - Suction Temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.
Discharge Temperature at High Pressure Compressor - (Measured in Kelvin) - Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor.
Cooling Ratio - Cooling Ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature.
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.
Suction Pressure of Low Pressure Compressor - (Measured in Pascal) - 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.
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.
STEP 1: Convert Input(s) to Base Unit
Discharge Temperature at High Pressure Compressor: 310 Kelvin --> 310 Kelvin No Conversion Required
Cooling Ratio: 0.9 --> No Conversion Required
Discharge Pressure of Low Pressure Compressor: 7 Bar --> 700000 Pascal (Check conversion ​here)
Suction Pressure of Low Pressure Compressor: 0.00243 Bar --> 243 Pascal (Check conversion ​here)
Polytropic Index For Compression: 1.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T1 = T3/(q+(1-q)*(P2/P1)^((nc-1)/nc)) --> 310/(0.9+(1-0.9)*(700000/243)^((1.2-1)/1.2))
Evaluating ... ...
T1 = 242.716750312819
STEP 3: Convert Result to Output's Unit
242.716750312819 Kelvin --> No Conversion Required
FINAL ANSWER
242.716750312819 242.7168 Kelvin <-- Suction Temperature at Low Pressure Compressor
(Calculation completed in 00.004 seconds)

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Minimum Work Calculators

Minimum Work required when Cooling Ratio is fixed
​ LaTeX ​ Go Work Required = (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 High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))+Discharge Temperature of Refrigerant*(Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))-Suction Temperature at Low Pressure Compressor-Discharge Temperature at High Pressure Compressor))
Minimum Work required when Temperature at end of Cooling in Intercooler is fixed
​ LaTeX ​ Go Work Required = 2*(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 High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))-1)
Minimum Work required when Cooling Ratio is fixed and Intercooling is Perfect
​ LaTeX ​ Go Work Required = 2*(Polytropic Index For Compression/(Polytropic Index For Compression-1))*Mass of Refrigerant in kg Per Minute*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/(2*Polytropic Index For Compression))-1)
Cooling ratio
​ LaTeX ​ Go Cooling Ratio = (Suction Temperature at High Pressure Compressor-Discharge Temperature at High Pressure Compressor)/(Suction Temperature at High Pressure Compressor-Suction Temperature at Low Pressure Compressor)

Suction Temperature at Low pressure compressor when Cooling ratio is constant Formula

​LaTeX ​Go
Suction Temperature at Low Pressure Compressor = Discharge Temperature at High Pressure Compressor/(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression))
T1 = T3/(q+(1-q)*(P2/P1)^((nc-1)/nc))

What is Cooling ratio?

The cooling ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature.

How to Calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant?

Suction Temperature at Low pressure compressor when Cooling ratio is constant calculator uses Suction Temperature at Low Pressure Compressor = Discharge Temperature at High Pressure Compressor/(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression)) to calculate the Suction Temperature at Low Pressure Compressor, Suction Temperature at Low pressure compressor when Cooling ratio is constant formula is defined as a measure of the temperature at the suction side of a low-pressure compressor when the cooling ratio remains constant, which is an essential parameter in determining the performance of a refrigeration system. Suction Temperature at Low Pressure Compressor is denoted by T1 symbol.

How to calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant using this online calculator? To use this online calculator for Suction Temperature at Low pressure compressor when Cooling ratio is constant, enter Discharge Temperature at High Pressure Compressor (T3), Cooling Ratio (q), Discharge Pressure of Low Pressure Compressor (P2), Suction Pressure of Low Pressure Compressor (P1) & Polytropic Index For Compression (nc) and hit the calculate button. Here is how the Suction Temperature at Low pressure compressor when Cooling ratio is constant calculation can be explained with given input values -> 237.1039 = 310/(0.9+(1-0.9)*(700000/243)^((1.2-1)/1.2)).

FAQ

What is Suction Temperature at Low pressure compressor when Cooling ratio is constant?
Suction Temperature at Low pressure compressor when Cooling ratio is constant formula is defined as a measure of the temperature at the suction side of a low-pressure compressor when the cooling ratio remains constant, which is an essential parameter in determining the performance of a refrigeration system and is represented as T1 = T3/(q+(1-q)*(P2/P1)^((nc-1)/nc)) or Suction Temperature at Low Pressure Compressor = Discharge Temperature at High Pressure Compressor/(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression)). Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor, Cooling Ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature, 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, 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 & 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.
How to calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant?
Suction Temperature at Low pressure compressor when Cooling ratio is constant formula is defined as a measure of the temperature at the suction side of a low-pressure compressor when the cooling ratio remains constant, which is an essential parameter in determining the performance of a refrigeration system is calculated using Suction Temperature at Low Pressure Compressor = Discharge Temperature at High Pressure Compressor/(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression)). To calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant, you need Discharge Temperature at High Pressure Compressor (T3), Cooling Ratio (q), Discharge Pressure of Low Pressure Compressor (P2), Suction Pressure of Low Pressure Compressor (P1) & Polytropic Index For Compression (nc). With our tool, you need to enter the respective value for Discharge Temperature at High Pressure Compressor, Cooling Ratio, Discharge Pressure of Low Pressure Compressor, Suction Pressure of Low Pressure Compressor & Polytropic Index For Compression 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 Suction Temperature at Low Pressure Compressor?
In this formula, Suction Temperature at Low Pressure Compressor uses Discharge Temperature at High Pressure Compressor, Cooling Ratio, Discharge Pressure of Low Pressure Compressor, Suction Pressure of Low Pressure Compressor & Polytropic Index For Compression. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Suction Temperature at Low Pressure Compressor = ((Suction Temperature at High Pressure Compressor*Cooling Ratio)-Suction Temperature at High Pressure Compressor+Discharge Temperature at High Pressure Compressor)/Cooling Ratio
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