Work required for Polytropic Compression Formula

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Work Required for Polytropic Compression Process can be defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant. Check FAQs
Wpoly=((ncnc-1)(mRTin)((P2P1)nc-1nc-1))
Wpoly - Work Required for Polytropic Compression?nc - Polytropic Index for Compression?m - Mass for Compression?R - Specific Gas Constant?Tin - Input Temperature?P2 - Pressure 2?P1 - Pressure 1?

Work required for Polytropic Compression Example

With values
With units
Only example

Here is how the Work required for Polytropic Compression equation looks like with Values.

Here is how the Work required for Polytropic Compression equation looks like with Units.

Here is how the Work required for Polytropic Compression equation looks like.

17.9935Edit=((1.2Edit1.2Edit-1)(2Edit0.055Edit210Edit)((5200Edit2500Edit)1.2Edit-11.2Edit-1))
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Work required for Polytropic Compression Solution

Follow our step by step solution on how to calculate Work required for Polytropic Compression?

FIRST Step Consider the formula
Wpoly=((ncnc-1)(mRTin)((P2P1)nc-1nc-1))
Next Step Substitute values of Variables
Wpoly=((1.21.2-1)(2kg0.055J/(kg*K)210K)((5200Pa2500Pa)1.2-11.2-1))
Next Step Prepare to Evaluate
Wpoly=((1.21.2-1)(20.055210)((52002500)1.2-11.2-1))
Next Step Evaluate
Wpoly=17.9935198409736J
LAST Step Rounding Answer
Wpoly=17.9935J

Work required for Polytropic Compression Formula Elements

Variables
Work Required for Polytropic Compression
Work Required for Polytropic Compression Process can be defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant.
Symbol: Wpoly
Measurement: EnergyUnit: J
Note: Value should be greater than 0.
Polytropic Index for Compression
Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.
Symbol: nc
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Mass for Compression
Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter.
Symbol: m
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Specific Gas Constant
The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.
Symbol: R
Measurement: Specific Heat CapacityUnit: J/(kg*K)
Note: Value should be greater than 0.
Input Temperature
Input Temperature is the degree or intensity of heat present in the system.
Symbol: Tin
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Pressure 2
Pressure 2 is the pressure at give point 2.
Symbol: P2
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Pressure 1
Pressure 1 is the pressure at give point 1.
Symbol: P1
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.

Other formulas in Work Required category

​Go Work required for Isothermal Compression
Wiso=2.3(mRTin)log10(P2P1)
​Go Nominal HP of Driving Motor
P=2πNTr4500

How to Evaluate Work required for Polytropic Compression?

Work required for Polytropic Compression evaluator uses Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)) to evaluate the Work Required for Polytropic Compression, The Work required for Polytropic Compression formula is defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant. Work Required for Polytropic Compression is denoted by Wpoly symbol.

How to evaluate Work required for Polytropic Compression using this online evaluator? To use this online evaluator for Work required for Polytropic Compression, enter Polytropic Index for Compression (nc), Mass for Compression (m), Specific Gas Constant (R), Input Temperature (Tin), Pressure 2 (P2) & Pressure 1 (P1) and hit the calculate button.

FAQs on Work required for Polytropic Compression

What is the formula to find Work required for Polytropic Compression?
The formula of Work required for Polytropic Compression is expressed as Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)). Here is an example- 93566.3 = (((1.2)/(1.2-1))*(2*0.055*210)*((5200/2500)^((1.2-1)/(1.2))-1)).
How to calculate Work required for Polytropic Compression?
With Polytropic Index for Compression (nc), Mass for Compression (m), Specific Gas Constant (R), Input Temperature (Tin), Pressure 2 (P2) & Pressure 1 (P1) we can find Work required for Polytropic Compression using the formula - Work Required for Polytropic Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific Gas Constant*Input Temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)).
Can the Work required for Polytropic Compression be negative?
No, the Work required for Polytropic Compression, measured in Energy cannot be negative.
Which unit is used to measure Work required for Polytropic Compression?
Work required for Polytropic Compression is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Work required for Polytropic Compression can be measured.
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