Suction Temperature at Low Pressure Compressor given Cooling Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
T1 = ((T2*q)-T2+T3)/q
This formula uses 4 Variables
Variables Used
Suction temperature at Low pressure Compressor - (Measured in Kelvin) - The Suction temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.
Suction Temperature at High Pressure Compressor - (Measured in Kelvin) - The Suction Temperature at High Pressure Compressor is the temperature of the refrigerant at the inlet or temperature of the refrigerant leaving the intercooler.
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.
Discharge Temperature at high pressure compressor - (Measured in Kelvin) - Discharge Temperature at high pressure compressor is the temperature at which refrigerant leaves the compressor.
STEP 1: Convert Input(s) to Base Unit
Suction Temperature at High Pressure Compressor: 400 Kelvin --> 400 Kelvin No Conversion Required
Cooling ratio: 6 --> No Conversion Required
Discharge Temperature at high pressure compressor: 1000 Kelvin --> 1000 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T1 = ((T2*q)-T2+T3)/q --> ((400*6)-400+1000)/6
Evaluating ... ...
T1 = 500
STEP 3: Convert Result to Output's Unit
500 Kelvin --> No Conversion Required
FINAL ANSWER
500 Kelvin <-- Suction temperature at Low pressure Compressor
(Calculation completed in 00.004 seconds)

Credits

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8 Minimum Work Required for a Two-Stage Reciprocating Compressor Calculators

Minimum Work required when Cooling Ratio is fixed
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
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
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)
Suction Temperature at Low pressure compressor when Cooling ratio is constant
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))
Discharge Temperature at High pressure compressor when Cooling ratio is constant
Go Discharge Temperature at high pressure compressor = Suction Pressure of Low 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))
Suction Temperature at Low Pressure Compressor given Cooling Ratio
Go 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
Cooling ratio
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)
Discharge Temperature at High Pressure Compressor given Cooling Ratio
Go Discharge Temperature at high pressure compressor = Suction Temperature at High Pressure Compressor-Cooling ratio*(Suction Temperature at High Pressure Compressor-Suction temperature at Low pressure Compressor)

Suction Temperature at Low Pressure Compressor given Cooling Ratio Formula

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
T1 = ((T2*q)-T2+T3)/q

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 given Cooling Ratio?

Suction Temperature at Low Pressure Compressor given Cooling Ratio calculator uses 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 to calculate the Suction temperature at Low pressure Compressor, The Suction Temperature at Low Pressure Compressor given Cooling Ratio formula is defined as the temperature at which the refrigerant enters the low-pressure compressor. Suction temperature at Low pressure Compressor is denoted by T1 symbol.

How to calculate Suction Temperature at Low Pressure Compressor given Cooling Ratio using this online calculator? To use this online calculator for Suction Temperature at Low Pressure Compressor given Cooling Ratio, enter Suction Temperature at High Pressure Compressor (T2), Cooling ratio (q) & Discharge Temperature at high pressure compressor (T3) and hit the calculate button. Here is how the Suction Temperature at Low Pressure Compressor given Cooling Ratio calculation can be explained with given input values -> 500 = ((400*6)-400+1000)/6.

FAQ

What is Suction Temperature at Low Pressure Compressor given Cooling Ratio?
The Suction Temperature at Low Pressure Compressor given Cooling Ratio formula is defined as the temperature at which the refrigerant enters the low-pressure compressor and is represented as T1 = ((T2*q)-T2+T3)/q or 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. The Suction Temperature at High Pressure Compressor is the temperature of the refrigerant at the inlet or temperature of the refrigerant leaving the intercooler, 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 & Discharge Temperature at high pressure compressor is the temperature at which refrigerant leaves the compressor.
How to calculate Suction Temperature at Low Pressure Compressor given Cooling Ratio?
The Suction Temperature at Low Pressure Compressor given Cooling Ratio formula is defined as the temperature at which the refrigerant enters the low-pressure compressor is calculated using 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. To calculate Suction Temperature at Low Pressure Compressor given Cooling Ratio, you need Suction Temperature at High Pressure Compressor (T2), Cooling ratio (q) & Discharge Temperature at high pressure compressor (T3). With our tool, you need to enter the respective value for Suction Temperature at High Pressure Compressor, Cooling ratio & Discharge Temperature at high 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 Suction temperature at Low pressure Compressor?
In this formula, Suction temperature at Low pressure Compressor uses Suction Temperature at High Pressure Compressor, Cooling ratio & Discharge Temperature at high pressure compressor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))
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