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

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

GoWork done per cycle in Low Pressure Compressor during incomplete intercooling given Suction Temp 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 P 2 \cdot V 2 \cdot ({(\frac{P 3}{P 2})}^{\frac{n c - 1}{n c}} - 1)

w - Work Done per Cycle?n_c - Polytropic Index for Compression?P₂ - Discharge Pressure of Low Pressure Compressor?V₂ - Discharge Volume of Low Pressure Compressor?P₃ - Discharge Pressure of High Pressure Compressor?

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume Example

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Here is how the Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume equation looks like with Values.

Here is how the Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume equation looks like with Units.

Here is how the Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume equation looks like.

34757.5164 = (\frac{1.2}{1.2 - 1}) \cdot 7 \cdot 0.0611 \cdot ({(\frac{15}{7})}^{\frac{1.2 - 1}{1.2}} - 1)

34757.5164J = (\frac{1.2}{1.2 - 1}) \cdot 7Bar \cdot 0.0611m³ \cdot ({(\frac{15Bar}{7Bar})}^{\frac{1.2 - 1}{1.2}} - 1)

34757.5164 = (\frac{1.2}{1.2 - 1}) \cdot 7 \cdot 0.0611 \cdot ({(\frac{15}{7})}^{\frac{1.2 - 1}{1.2}} - 1)

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Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume Solution

Follow our step by step solution on how to calculate Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

w = (\frac{1.2}{1.2 - 1}) \cdot 7Bar \cdot 0.0611m³ \cdot ({(\frac{15Bar}{7Bar})}^{\frac{1.2 - 1}{1.2}} - 1)

Next Step Convert Units

∴

w = (\frac{1.2}{1.2 - 1}) \cdot 700000Pa \cdot 0.0611m³ \cdot ({(\frac{1.5E+6Pa}{700000Pa})}^{\frac{1.2 - 1}{1.2}} - 1)

Next Step Prepare to Evaluate

∴

w = (\frac{1.2}{1.2 - 1}) \cdot 700000 \cdot 0.0611 \cdot ({(\frac{1.5E+6}{700000})}^{\frac{1.2 - 1}{1.2}} - 1)

Next Step Evaluate

∴

w = 34757.5163599715J

LAST Step Rounding Answer

∴

w = 34757.5164J

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

Variables

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

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

Discharge Volume of Low Pressure Compressor

Discharge volume of Low Pressure Compressor is the volume of air or gas discharged by the low-pressure compressor in a two-stage compression system.

Symbol: V₂

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Discharge Volume 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

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 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)

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 High pressure Compressor during incomplete intercooling given suction volume?

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume evaluator uses 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) to evaluate the Work Done per Cycle, Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume formula is defined as the energy transferred per cycle in a high-pressure compressor during incomplete intercooling, considering the suction volume, which is a critical parameter in evaluating the compressor's performance. Work Done per Cycle is denoted by w symbol.

How to evaluate Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume using this online evaluator? To use this online evaluator for Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume, enter Polytropic Index for Compression (n_c), Discharge Pressure of Low Pressure Compressor (P₂), Discharge Volume of Low Pressure Compressor (V₂) & Discharge Pressure of High Pressure Compressor (P₃) and hit the calculate button.

FAQs on Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume

What is the formula to find Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume?

The formula of Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume is expressed as 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). Here is an example- 347575.2 = (1.2/(1.2-1))*700000*0.0611*((1500000/700000)^((1.2-1)/1.2)-1).

How to calculate Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume?

With Polytropic Index for Compression (n_c), Discharge Pressure of Low Pressure Compressor (P₂), Discharge Volume of Low Pressure Compressor (V₂) & Discharge Pressure of High Pressure Compressor (P₃) we can find Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume using the formula - 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).

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))*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)
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 High pressure Compressor during incomplete intercooling given suction volume be negative?

Yes, the Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume, measured in Energy can be negative.

Which unit is used to measure Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume?

Work done per cycle in High pressure Compressor during incomplete 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 Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume can be measured.

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

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

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

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume Example

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume Solution

Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume 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 High pressure Compressor during incomplete intercooling given suction volume?

FAQs on Work done per cycle in High pressure Compressor during incomplete intercooling given suction volume

Variable Name

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

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