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

GoWork done per cycle in Low pressure Compressor during incomplete intercooling given suction volume Formula

GoWork done per cycle in High pressure Compressor during incomplete intercooling given suction volume Formula

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Work Done per cycle is the total energy transferred per cycle of a two-stage compressor, which is essential to determine the compressor's performance. Check FAQs

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)

w - 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?[R] - Universal gas constant?

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

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Here is how the Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp equation looks like with Values.

Here is how the Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp equation looks like with Units.

Here is how the Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp equation looks like.

34756.7143 = (\frac{1.2}{1.2 - 1}) \cdot 2 \cdot 8.3145 \cdot 7216 \cdot ({(\frac{7}{0.002})}^{\frac{1.2 - 1}{1.2}} - 1)

34756.7143J = (\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}} - 1)

34756.7143 = (\frac{1.2}{1.2 - 1}) \cdot 2 \cdot 8.3145 \cdot 7216 \cdot ({(\frac{7}{0.002})}^{\frac{1.2 - 1}{1.2}} - 1)

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

Follow our step by step solution on how to calculate Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

w = (\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}} - 1)

Next Step Convert Units

∴

w = (\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}} - 1)

Next Step Prepare to Evaluate

∴

w = (\frac{1.2}{1.2 - 1}) \cdot 0.0333 \cdot 8.3145 \cdot 7216 \cdot ({(\frac{700000}{200})}^{\frac{1.2 - 1}{1.2}} - 1)

Next Step Evaluate

∴

w = 34756.7142566426J

LAST Step Rounding Answer

∴

w = 34756.7143J

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

Variables

Constants

Work Done per Cycle

Work Done per cycle is the total energy transferred per cycle of a two-stage compressor, which is essential to determine the compressor's performance.

Symbol: w

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find 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

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 Work Done per Cycle

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 High pressure Compressor during incomplete intercooling given suction volume

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

Go Work done per cycle in High Pressure Compressor during incomplete intercooling given suction Temp

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

Other formulas in Work Done by Two Stage Compressor category

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)

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

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)

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

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

How to Evaluate Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp?

Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp evaluator uses 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)-1) to evaluate the Work Done per Cycle, Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp formula is defined as the energy expended by the compressor in a single cycle when the intercooling process is incomplete and the suction temperature is known. Work Done per Cycle is denoted by w symbol.

How to evaluate Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp using this online evaluator? To use this online evaluator for Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp, 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) and hit the calculate button.

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

What is the formula to find Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp?

The formula of Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp is expressed as 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)-1). Here is an example- 34761.53 = (1.2/(1.2-1))*0.0333333333333333*[R]*7216*((700000/200)^((1.2-1)/1.2)-1).

How to calculate Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp?

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) we can find Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp using the formula - 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)-1). This formula also uses Universal gas constant .

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

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

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)-1)
Work Done per Cycle=(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Discharge Pressure of Low Pressure Compressor*Discharge Volume of Low Pressure Compressor*((Discharge Pressure of High Pressure Compressor/Discharge Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/Polytropic Index for Compression)-1)
Work Done per Cycle=(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of Refrigerant in kg per minute*[R]*Suction Temperature at 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)

Can the Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp be negative?

Yes, the Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp, measured in Energy can be negative.

Which unit is used to measure Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp?

Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp can be measured.

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

​GoWork done per cycle in Low pressure Compressor during incomplete intercooling given suction volume Formula

​GoWork done per cycle in High pressure Compressor during incomplete intercooling given suction volume Formula

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

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

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

Other Formulas to find Work Done per Cycle

Other formulas in Work Done by Two Stage Compressor category

How to Evaluate Work done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp?

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

Variable Name

GoWork done per cycle in Low pressure Compressor during incomplete intercooling given suction volume Formula

GoWork done per cycle in High pressure Compressor during incomplete intercooling given suction volume Formula