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

GoTotal Work done per cycle in Compressor during incomplete Intercooling given Temperature Formula

GoTotal Work done per cycle in Compressor during Incomplete Intercooling given Volume Formula

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Total Work Done per cycle is the total energy transferred per cycle in a two-stage compressor, which involves compression in two stages with intermediate cooling. Check FAQs

w t = (\frac{n c}{n c - 1}) \cdot m \cdot [R] \cdot T 1 \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} + {(\frac{P 3}{P 2})}^{\frac{n c - 1}{n c}} - 2)

w_t - Total Work Done per Cycle?n_c - Polytropic Index for Compression?m - Mass of Refrigerant in kg per minute?T₁ - Suction Temperature at Low Pressure Compressor?P₂ - Discharge Pressure of Low Pressure Compressor?P₁ - Suction Pressure of Low Pressure Compressor?P₃ - Discharge Pressure of High Pressure Compressor?[R] - Universal gas constant?

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

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Here is how the Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume equation looks like with Values.

Here is how the Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume equation looks like with Units.

Here is how the Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume equation looks like.

36381.9596 = (\frac{1.2}{1.2 - 1}) \cdot 2 \cdot 8.3145 \cdot 7216 \cdot ({(\frac{7}{0.002})}^{\frac{1.2 - 1}{1.2}} + {(\frac{15}{7})}^{\frac{1.2 - 1}{1.2}} - 2)

36381.9596J = (\frac{1.2}{1.2 - 1}) \cdot 2kg/min \cdot 8.3145 \cdot 7216K \cdot ({(\frac{7Bar}{0.002Bar})}^{\frac{1.2 - 1}{1.2}} + {(\frac{15Bar}{7Bar})}^{\frac{1.2 - 1}{1.2}} - 2)

36381.9596 = (\frac{1.2}{1.2 - 1}) \cdot 2 \cdot 8.3145 \cdot 7216 \cdot ({(\frac{7}{0.002})}^{\frac{1.2 - 1}{1.2}} + {(\frac{15}{7})}^{\frac{1.2 - 1}{1.2}} - 2)

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

Follow our step by step solution on how to calculate Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume?

FIRST Step Consider the formula

w t = (\frac{n c}{n c - 1}) \cdot m \cdot [R] \cdot T 1 \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} + {(\frac{P 3}{P 2})}^{\frac{n c - 1}{n c}} - 2)

Next Step Substitute values of Variables

∴

w t = (\frac{1.2}{1.2 - 1}) \cdot 2kg/min \cdot [R] \cdot 7216K \cdot ({(\frac{7Bar}{0.002Bar})}^{\frac{1.2 - 1}{1.2}} + {(\frac{15Bar}{7Bar})}^{\frac{1.2 - 1}{1.2}} - 2)

Next Step Substitute values of Constants

∴

w t = (\frac{1.2}{1.2 - 1}) \cdot 2kg/min \cdot 8.3145 \cdot 7216K \cdot ({(\frac{7Bar}{0.002Bar})}^{\frac{1.2 - 1}{1.2}} + {(\frac{15Bar}{7Bar})}^{\frac{1.2 - 1}{1.2}} - 2)

Next Step Convert Units

∴

w t = (\frac{1.2}{1.2 - 1}) \cdot 0.0333kg/s \cdot 8.3145 \cdot 7216K \cdot ({(\frac{700000Pa}{200Pa})}^{\frac{1.2 - 1}{1.2}} + {(\frac{1.5E+6Pa}{700000Pa})}^{\frac{1.2 - 1}{1.2}} - 2)

Next Step Prepare to Evaluate

∴

w t = (\frac{1.2}{1.2 - 1}) \cdot 0.0333 \cdot 8.3145 \cdot 7216 \cdot ({(\frac{700000}{200})}^{\frac{1.2 - 1}{1.2}} + {(\frac{1.5E+6}{700000})}^{\frac{1.2 - 1}{1.2}} - 2)

Next Step Evaluate

∴

w t = 36381.959637787J

LAST Step Rounding Answer

∴

w t = 36381.9596J

Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume Formula Elements

Variables

Constants

Total Work Done per Cycle

Total Work Done per cycle is the total energy transferred per cycle in a two-stage compressor, which involves compression in two stages with intermediate cooling.

Symbol: w_t

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Total Work Done per Cycle

Polytropic Index for Compression

Polytropic Index for Compression is a measure of the efficiency of a two-stage compressor, indicating the degree of isentropic compression in a real compression process.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Polytropic Index for Compression

Mass of Refrigerant in kg per minute

Mass of Refrigerant in kg per minute is defined as the quantity of refrigerant flowing through a system per minute, measured in kilograms.

Symbol: m

Measurement: Mass Flow RateUnit: kg/min

Note: Value should be greater than 0.

Formulas to find Mass of Refrigerant in kg per minute

Suction Temperature at Low Pressure Compressor

Suction temperature at Low pressure Compressor is the temperature of the refrigerant at the suction side of the low-pressure compressor in a two-stage compression system.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Suction Temperature at Low Pressure Compressor

Discharge Pressure of Low Pressure Compressor

Discharge Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor stage of a two-stage compressor discharges compressed air or gas.

Symbol: P₂

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Discharge Pressure of Low Pressure Compressor

Suction Pressure of Low Pressure Compressor

Suction Pressure of Low Pressure Compressor is the pressure at which the low-pressure compressor in a two-stage compressor system draws in air or gas.

Symbol: P₁

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Suction Pressure of Low Pressure Compressor

Discharge Pressure of High Pressure Compressor

Discharge Pressure of High Pressure Compressor is the pressure at which the high-pressure compressor stage of a two-stage compressor discharges compressed air or gas.

Symbol: P₃

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Discharge Pressure of High Pressure Compressor

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Total Work Done per Cycle

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

w t = (\frac{n c}{n c - 1}) \cdot m \cdot [R] \cdot ((T 1 \cdot {(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}}) + T 3 \cdot {(\frac{P 3}{P 2})}^{\frac{n c - 1}{n c}} - T 1 - T 3)

Go Total Work done per cycle in Compressor during Incomplete Intercooling given Volume

w t = (\frac{n c}{n c - 1}) \cdot P 1 \cdot V 1,hc \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} - 1) + (\frac{n c}{n c - 1}) \cdot P 2 \cdot V 2,hc \cdot ({(\frac{P 3}{P 2})}^{\frac{n c - 1}{n c}} - 1)

Other formulas in Work Done by Two Stage Compressor category

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

w = (\frac{n c}{n c - 1}) \cdot P 1 \cdot V 1 \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} - 1)

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

w = (\frac{n c}{n c - 1}) \cdot m \cdot [R] \cdot T 1 \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} - 1)

How to Evaluate Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume?

Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume evaluator uses Total 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) to evaluate the Total Work Done per Cycle, Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume formula is defined as the total energy transferred per cycle in a two-stage compressor with complete intercooling, considering the suction volume and other relevant parameters, to determine the compressor's performance and efficiency. Total Work Done per Cycle is denoted by w_t symbol.

How to evaluate Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume using this online evaluator? To use this online evaluator for Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume, enter Polytropic Index for Compression (n_c), Mass of Refrigerant in kg per minute (m), Suction Temperature at Low Pressure Compressor (T₁), Discharge Pressure of Low Pressure Compressor (P₂), Suction Pressure of Low Pressure Compressor (P₁) & Discharge Pressure of High Pressure Compressor (P₃) and hit the calculate button.

FAQs on Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume

What is the formula to find Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume?

The formula of Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume is expressed as Total 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). Here is an example- 36381.96 = (1.2/(1.2-1))*0.0333333333333333*[R]*7216*((700000/200)^((1.2-1)/1.2)+(1500000/700000)^((1.2-1)/1.2)-2).

How to calculate Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume?

With Polytropic Index for Compression (n_c), Mass of Refrigerant in kg per minute (m), Suction Temperature at Low Pressure Compressor (T₁), Discharge Pressure of Low Pressure Compressor (P₂), Suction Pressure of Low Pressure Compressor (P₁) & Discharge Pressure of High Pressure Compressor (P₃) we can find Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume using the formula - Total 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). This formula also uses Universal gas constant .

What are the other ways to Calculate Total Work Done per Cycle?

Here are the different ways to Calculate Total Work Done per Cycle-

Total 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=(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Suction Pressure of Low Pressure Compressor*Suction Volume of High Pressure Compressor*((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 of 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)
Total 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)

Can the Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume be negative?

Yes, the Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume, measured in Energy can be negative.

Which unit is used to measure Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume?

Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume can be measured.

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

​GoTotal Work done per cycle in Compressor during incomplete Intercooling given Temperature Formula

​GoTotal Work done per cycle in Compressor during Incomplete Intercooling given Volume Formula

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

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

Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume Formula Elements

Other Formulas to find Total Work Done per Cycle

Other formulas in Work Done by Two Stage Compressor category

How to Evaluate Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume?

FAQs on Total Work done per cycle in Compressor during Complete Intercooling given Suction Volume

Variable Name

GoTotal Work done per cycle in Compressor during incomplete Intercooling given Temperature Formula

GoTotal Work done per cycle in Compressor during Incomplete Intercooling given Volume Formula