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

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

GoTotal Work done per cycle in Compressor during Complete Intercooling given Suction 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 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)

w_t - Total Work Done per Cycle?n_c - Polytropic Index for Compression?P₁ - Suction Pressure of Low Pressure Compressor?V_1,hc - Suction Volume of High Pressure Compressor?P₂ - Discharge Pressure of Low Pressure Compressor?V_2,hc - Discharge Volume of High Pressure Compressor?P₃ - Discharge Pressure of High Pressure Compressor?

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

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

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

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

341321.1488 = (\frac{1.2}{1.2 - 1}) \cdot 0.002 \cdot 0.001 \cdot ({(\frac{7}{0.002})}^{\frac{1.2 - 1}{1.2}} - 1) + (\frac{1.2}{1.2 - 1}) \cdot 7 \cdot 0.6 \cdot ({(\frac{15}{7})}^{\frac{1.2 - 1}{1.2}} - 1)

341321.1488J = (\frac{1.2}{1.2 - 1}) \cdot 0.002Bar \cdot 0.001m³ \cdot ({(\frac{7Bar}{0.002Bar})}^{\frac{1.2 - 1}{1.2}} - 1) + (\frac{1.2}{1.2 - 1}) \cdot 7Bar \cdot 0.6m³ \cdot ({(\frac{15Bar}{7Bar})}^{\frac{1.2 - 1}{1.2}} - 1)

341321.1488 = (\frac{1.2}{1.2 - 1}) \cdot 0.002 \cdot 0.001 \cdot ({(\frac{7}{0.002})}^{\frac{1.2 - 1}{1.2}} - 1) + (\frac{1.2}{1.2 - 1}) \cdot 7 \cdot 0.6 \cdot ({(\frac{15}{7})}^{\frac{1.2 - 1}{1.2}} - 1)

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

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

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

w t = (\frac{1.2}{1.2 - 1}) \cdot 0.002Bar \cdot 0.001m³ \cdot ({(\frac{7Bar}{0.002Bar})}^{\frac{1.2 - 1}{1.2}} - 1) + (\frac{1.2}{1.2 - 1}) \cdot 7Bar \cdot 0.6m³ \cdot ({(\frac{15Bar}{7Bar})}^{\frac{1.2 - 1}{1.2}} - 1)

Next Step Convert Units

∴

w t = (\frac{1.2}{1.2 - 1}) \cdot 200Pa \cdot 0.001m³ \cdot ({(\frac{700000Pa}{200Pa})}^{\frac{1.2 - 1}{1.2}} - 1) + (\frac{1.2}{1.2 - 1}) \cdot 700000Pa \cdot 0.6m³ \cdot ({(\frac{1.5E+6Pa}{700000Pa})}^{\frac{1.2 - 1}{1.2}} - 1)

Next Step Prepare to Evaluate

∴

w t = (\frac{1.2}{1.2 - 1}) \cdot 200 \cdot 0.001 \cdot ({(\frac{700000}{200})}^{\frac{1.2 - 1}{1.2}} - 1) + (\frac{1.2}{1.2 - 1}) \cdot 700000 \cdot 0.6 \cdot ({(\frac{1.5E+6}{700000})}^{\frac{1.2 - 1}{1.2}} - 1)

Next Step Evaluate

∴

w t = 341321.148765162J

LAST Step Rounding Answer

∴

w t = 341321.1488J

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

Variables

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

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

Suction Volume of High Pressure Compressor

Suction Volume of High Pressure Compressor is the volume of air sucked by the high-pressure compressor in a two-stage compression system.

Symbol: V_1,hc

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Suction Volume of High 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

Discharge Volume of High Pressure Compressor

Discharge Volume of High Pressure Compressor is the volume of gas discharged by the high-pressure compressor in a two-stage compression system.

Symbol: V_2,hc

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Discharge Volume of High 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 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 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)

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 Incomplete Intercooling given Volume?

Total Work done per cycle in Compressor during Incomplete Intercooling given Volume evaluator uses 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) to evaluate the Total Work Done per Cycle, Total Work done per cycle in Compressor during Incomplete Intercooling given Volume formula is defined as the energy transferred per cycle in a two-stage compressor with incomplete intercooling, which is a critical parameter in evaluating the performance of a compressor system. Total Work Done per Cycle is denoted by w_t symbol.

How to evaluate Total Work done per cycle in Compressor during Incomplete Intercooling given Volume using this online evaluator? To use this online evaluator for Total Work done per cycle in Compressor during Incomplete Intercooling given Volume, enter Polytropic Index for Compression (n_c), Suction Pressure of Low Pressure Compressor (P₁), Suction Volume of High Pressure Compressor (V_1,hc), Discharge Pressure of Low Pressure Compressor (P₂), Discharge Volume of High Pressure Compressor (V_2,hc) & Discharge Pressure of High Pressure Compressor (P₃) and hit the calculate button.

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

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

The formula of Total Work done per cycle in Compressor during Incomplete Intercooling given Volume is expressed as 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). Here is an example- 341352.4 = (1.2/(1.2-1))*200*0.001*((700000/200)^((1.2-1)/1.2)-1)+(1.2/(1.2-1))*700000*0.6*((1500000/700000)^((1.2-1)/1.2)-1).

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

With Polytropic Index for Compression (n_c), Suction Pressure of Low Pressure Compressor (P₁), Suction Volume of High Pressure Compressor (V_1,hc), Discharge Pressure of Low Pressure Compressor (P₂), Discharge Volume of High Pressure Compressor (V_2,hc) & Discharge Pressure of High Pressure Compressor (P₃) we can find Total Work done per cycle in Compressor during Incomplete Intercooling given Volume using the formula - 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).

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))*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)
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 Incomplete Intercooling given Volume be negative?

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

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

Total Work done per cycle in Compressor during Incomplete Intercooling given 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 Incomplete Intercooling given Volume can be measured.

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

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

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

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

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

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

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

Variable Name

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

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