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Suction Temperature given Work done by Compressor Formula

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

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

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

Suction Temperature given Work done by Compressor Example

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

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

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

1.3626 = \frac{1.3 - 1}{1.3 \cdot 2 \cdot 8.3145 \cdot ({(\frac{8}{1.013})}^{\frac{1.3 - 1}{1.3}} - 1)}

1.3626K = \frac{1.3 - 1}{1.3 \cdot 2kg/min \cdot 8.3145 \cdot ({(\frac{8Bar}{1.013Bar})}^{\frac{1.3 - 1}{1.3}} - 1)}

1.3626 = \frac{1.3 - 1}{1.3 \cdot 2 \cdot 8.3145 \cdot ({(\frac{8}{1.013})}^{\frac{1.3 - 1}{1.3}} - 1)}

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Suction Temperature given Work done by Compressor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

T s = 1.36264673583403K

LAST Step Rounding Answer

∴

T s = 1.3626K

Suction Temperature given Work done by Compressor Formula Elements

Variables

Constants

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

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

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 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 Suction Temperature given Work done by Compressor?

Suction Temperature given Work done by Compressor evaluator uses Suction Temperature of Refrigerant = (Polytropic index of Compression-1)/(Polytropic index of Compression*Mass of Refrigerant Mass Flow Rate*[R]*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1)) to evaluate the Suction Temperature of Refrigerant, Suction Temperature given Work done by Compressor formula is defined as the temperature of the refrigerant at the suction side of the compressor, which is a critical parameter in refrigeration systems, influencing the overall performance and efficiency of the system. Suction Temperature of Refrigerant is denoted by T_s symbol.

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

FAQs on Suction Temperature given Work done by Compressor

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

The formula of Suction Temperature given Work done by Compressor is expressed as Suction Temperature of Refrigerant = (Polytropic index of Compression-1)/(Polytropic index of Compression*Mass of Refrigerant Mass Flow Rate*[R]*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1)). Here is an example- -5.537893 = (1.3-1)/(1.3*0.0333333333333333*[R]*((800000/101300)^((1.3-1)/1.3)-1)).

How to calculate Suction Temperature given Work done by Compressor?

With Polytropic index of Compression (n_c), Mass of Refrigerant Mass Flow Rate (m), Discharge Pressure of Refrigerant (P₂) & Suction Pressure (P₁) we can find Suction Temperature given Work done by Compressor using the formula - Suction Temperature of Refrigerant = (Polytropic index of Compression-1)/(Polytropic index of Compression*Mass of Refrigerant Mass Flow Rate*[R]*((Discharge Pressure of Refrigerant/Suction Pressure)^((Polytropic index of Compression-1)/Polytropic index of Compression)-1)). This formula also uses Universal gas constant .

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

Yes, the Suction Temperature given Work done by Compressor, measured in Temperature can be negative.

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

Suction Temperature given Work done by Compressor is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Suction Temperature given Work done by Compressor can be measured.

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Suction Temperature given Work done by Compressor Formula

Suction Temperature given Work done by Compressor Example

Suction Temperature given Work done by Compressor Solution

Suction Temperature given Work done by Compressor Formula Elements

Other formulas in Volume category

How to Evaluate Suction Temperature given Work done by Compressor?

FAQs on Suction Temperature given Work done by Compressor

Variable Name