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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

W poly = ((\frac{n c}{n c - 1}) \cdot (m \cdot R \cdot T in) \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} - 1))

W_poly - Work Required for Polytropic Compression?n_c - Polytropic Index for Compression?m - Mass for Compression?R - Specific Gas Constant?T_in - Input Temperature?P₂ - Pressure 2?P₁ - Pressure 1?

Work required for Polytropic Compression Example

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With units

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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.

17.9935 = ((\frac{1.2}{1.2 - 1}) \cdot (2 \cdot 0.055 \cdot 210) \cdot ({(\frac{5200}{2500})}^{\frac{1.2 - 1}{1.2}} - 1))

17.9935J = ((\frac{1.2}{1.2 - 1}) \cdot (2kg \cdot 0.055J/(kg*K) \cdot 210K) \cdot ({(\frac{5200Pa}{2500Pa})}^{\frac{1.2 - 1}{1.2}} - 1))

17.9935 = ((\frac{1.2}{1.2 - 1}) \cdot (2 \cdot 0.055 \cdot 210) \cdot ({(\frac{5200}{2500})}^{\frac{1.2 - 1}{1.2}} - 1))

Tip: Use pencil () icon above to edit Input Values and Units.

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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

W poly = ((\frac{n c}{n c - 1}) \cdot (m \cdot R \cdot T in) \cdot ({(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}} - 1))

Next Step Substitute values of Variables

∴

W poly = ((\frac{1.2}{1.2 - 1}) \cdot (2kg \cdot 0.055J/(kg*K) \cdot 210K) \cdot ({(\frac{5200Pa}{2500Pa})}^{\frac{1.2 - 1}{1.2}} - 1))

Next Step Prepare to Evaluate

∴

W poly = ((\frac{1.2}{1.2 - 1}) \cdot (2 \cdot 0.055 \cdot 210) \cdot ({(\frac{5200}{2500})}^{\frac{1.2 - 1}{1.2}} - 1))

Next Step Evaluate

∴

W poly = 17.9935198409736J

LAST Step Rounding Answer

∴

W poly = 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: W_poly

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: n_c

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: T_in

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.

Credits

Creator Image

Created by Heet Vora

Thadomal Shahani Engineering College (Tsec), Mumbai

Heet Vora has created this Formula and 200+ more formulas!

Verifier Image

Verified by Akhilesh Nikam

K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik

Akhilesh Nikam has verified this Formula and 3 more formulas!

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P = \frac{2 \cdot π \cdot N \cdot T r}{4500}

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 W_poly 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 (n_c), Mass for Compression (m), Specific Gas Constant (R), Input Temperature (T_in), 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 (n_c), Mass for Compression (m), Specific Gas Constant (R), Input Temperature (T_in), 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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