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Work done by Reciprocating Compressor given Suction Temperature Formula

GoWork Done by Reciprocating Compressor given Volume before Compression and after Expansion Formula

GoWork Done given Polytropic Index for Compression and Expansion Formula

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Work Done per cycle is the total amount of heat absorbed per cycle by the working substance from the source. Check FAQs

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

w - Work Done Per Cycle?n_c - Polytropic index of Compression?m - Mass of Refrigerant Mass Flow Rate?T_s - Suction Temperature of Refrigerant?P₂ - Discharge Pressure of Refrigerant?P₁ - Suction Pressure?[R] - Universal gas constant?

Work done by Reciprocating Compressor given Suction Temperature Example

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Here is how the Work done by Reciprocating Compressor given Suction Temperature equation looks like with Values.

Here is how the Work done by Reciprocating Compressor given Suction Temperature equation looks like with Units.

Here is how the Work done by Reciprocating Compressor given Suction Temperature equation looks like.

0.9981 = (\frac{1.3}{1.3 - 1}) \cdot 2 \cdot 8.3145 \cdot 1.36 \cdot ({(\frac{8}{1.013})}^{\frac{1.3 - 1}{1.3}} - 1)

0.9981J = (\frac{1.3}{1.3 - 1}) \cdot 2kg/min \cdot 8.3145 \cdot 1.36K \cdot ({(\frac{8Bar}{1.013Bar})}^{\frac{1.3 - 1}{1.3}} - 1)

0.9981 = (\frac{1.3}{1.3 - 1}) \cdot 2 \cdot 8.3145 \cdot 1.36 \cdot ({(\frac{8}{1.013})}^{\frac{1.3 - 1}{1.3}} - 1)

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Work done by Reciprocating Compressor given Suction Temperature Solution

Follow our step by step solution on how to calculate Work done by Reciprocating Compressor given Suction Temperature?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = (\frac{1.3}{1.3 - 1}) \cdot 2kg/min \cdot [R] \cdot 1.36K \cdot ({(\frac{8Bar}{1.013Bar})}^{\frac{1.3 - 1}{1.3}} - 1)

Next Step Substitute values of Constants

∴

w = (\frac{1.3}{1.3 - 1}) \cdot 2kg/min \cdot 8.3145 \cdot 1.36K \cdot ({(\frac{8Bar}{1.013Bar})}^{\frac{1.3 - 1}{1.3}} - 1)

Next Step Convert Units

∴

w = (\frac{1.3}{1.3 - 1}) \cdot 0.0333kg/s \cdot 8.3145 \cdot 1.36K \cdot ({(\frac{800000Pa}{101300Pa})}^{\frac{1.3 - 1}{1.3}} - 1)

Next Step Prepare to Evaluate

∴

w = (\frac{1.3}{1.3 - 1}) \cdot 0.0333 \cdot 8.3145 \cdot 1.36 \cdot ({(\frac{800000}{101300})}^{\frac{1.3 - 1}{1.3}} - 1)

Next Step Evaluate

∴

w = 0.998057650772992J

LAST Step Rounding Answer

∴

w = 0.9981J

Work done by Reciprocating Compressor given Suction Temperature Formula Elements

Variables

Constants

Work Done Per Cycle

Work Done per cycle is the total amount of heat absorbed per cycle by the working substance from the source.

Symbol: w

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Work Done Per Cycle

Polytropic index of Compression

Polytropic index of compression is a parameter that defines the relationship between pressure and volume during a thermodynamic process. It indicates how heat is transferred during compression.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Polytropic index of Compression

Mass of Refrigerant Mass Flow Rate

Mass of Refrigerant Mass Flow Rate is the mass on or by which the work is done or the mass of fluid is moved through the system.

Symbol: m

Measurement: Mass Flow RateUnit: kg/min

Note: Value should be greater than 0.

Formulas to find Mass of Refrigerant Mass Flow Rate

Suction Temperature of Refrigerant

The Suction temperature of refrigerant is the temperature of refrigerant at inlet or during the suction stroke.

Symbol: T_s

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Suction Temperature of Refrigerant

Discharge Pressure of Refrigerant

The discharge pressure of refrigerant is the pressure of the refrigerant after the compression stage or it is the pressure of the refrigerant at the discharge.

Symbol: P₂

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Discharge Pressure of Refrigerant

Suction Pressure

The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant.

Symbol: P₁

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Suction Pressure

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 by Reciprocating Compressor given Volume before Compression and after Expansion

w = (\frac{n c}{n c - 1}) \cdot (P 1 \cdot (V 1 - V 4)) \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} - 1)

Go Work Done given Polytropic Index for Compression and Expansion

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) - (\frac{n e}{n e - 1}) \cdot P 1 \cdot V 4 \cdot ({(\frac{P 2}{P 1})}^{\frac{n e - 1}{n e}} - 1)

Other formulas in Volume category

Go Actual Volume of Refrigerant given Volumetric Efficiency

V s = η v \cdot V p

Go Stroke Volume of Compressor given Volumetric efficiency

V p = \frac{V s}{η v}

Go Actual volume of refrigerant

V s = V 1 - V 4

Go Stroke Volume of Compressor

V p = V 1 - V c

How to Evaluate Work done by Reciprocating Compressor given Suction Temperature?

Work done by Reciprocating Compressor given Suction Temperature evaluator uses Work Done Per Cycle = (Polytropic index of Compression/(Polytropic index of Compression-1))*Mass of Refrigerant Mass Flow Rate*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1) to evaluate the Work Done Per Cycle, Work done by Reciprocating Compressor given Suction Temperature formula is defined as the energy transferred to the refrigerant in a reciprocating compressor during the compression process, which is affected by the suction temperature and other factors, and is a critical parameter in refrigeration systems. Work Done Per Cycle is denoted by w symbol.

How to evaluate Work done by Reciprocating Compressor given Suction Temperature using this online evaluator? To use this online evaluator for Work done by Reciprocating Compressor given Suction Temperature, enter Polytropic index of Compression (n_c), Mass of Refrigerant Mass Flow Rate (m), Suction Temperature of Refrigerant (T_s), Discharge Pressure of Refrigerant (P₂) & Suction Pressure (P₁) and hit the calculate button.

FAQs on Work done by Reciprocating Compressor given Suction Temperature

What is the formula to find Work done by Reciprocating Compressor given Suction Temperature?

The formula of Work done by Reciprocating Compressor given Suction Temperature is expressed as Work Done Per Cycle = (Polytropic index of Compression/(Polytropic index of Compression-1))*Mass of Refrigerant Mass Flow Rate*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1). Here is an example- -0.245581 = (1.3/(1.3-1))*0.0333333333333333*[R]*1.36*((800000/101300)^((1.3-1)/1.3)-1).

How to calculate Work done by Reciprocating Compressor given Suction Temperature?

With Polytropic index of Compression (n_c), Mass of Refrigerant Mass Flow Rate (m), Suction Temperature of Refrigerant (T_s), Discharge Pressure of Refrigerant (P₂) & Suction Pressure (P₁) we can find Work done by Reciprocating Compressor given Suction Temperature using the formula - Work Done Per Cycle = (Polytropic index of Compression/(Polytropic index of Compression-1))*Mass of Refrigerant Mass Flow Rate*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of 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 of Compression/(Polytropic index of Compression-1))*(Suction Pressure*(Total Volume of Refrigerant in Compressor-Expanded Clearance Volume))*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1)
Work Done Per Cycle=(Polytropic index of Compression/(Polytropic index of Compression-1))*Suction Pressure*Total Volume of Refrigerant in Compressor*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1)-(Polytropic Index of Expansion/(Polytropic Index of Expansion-1))*Suction Pressure*Expanded Clearance Volume*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic Index of Expansion-1)/Polytropic Index of Expansion)-1)

Can the Work done by Reciprocating Compressor given Suction Temperature be negative?

No, the Work done by Reciprocating Compressor given Suction Temperature, measured in Energy cannot be negative.

Which unit is used to measure Work done by Reciprocating Compressor given Suction Temperature?

Work done by Reciprocating Compressor given Suction Temperature is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Work done by Reciprocating Compressor given Suction Temperature can be measured.

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: Unit

Work done by Reciprocating Compressor given Suction Temperature Formula

​GoWork Done by Reciprocating Compressor given Volume before Compression and after Expansion Formula

​GoWork Done given Polytropic Index for Compression and Expansion Formula

Work done by Reciprocating Compressor given Suction Temperature Example

Work done by Reciprocating Compressor given Suction Temperature Solution

Work done by Reciprocating Compressor given Suction Temperature Formula Elements

Other Formulas to find Work Done Per Cycle

Other formulas in Volume category

How to Evaluate Work done by Reciprocating Compressor given Suction Temperature?

FAQs on Work done by Reciprocating Compressor given Suction Temperature

Variable Name

GoWork Done by Reciprocating Compressor given Volume before Compression and after Expansion Formula

GoWork Done given Polytropic Index for Compression and Expansion Formula