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Polytropic Work Formula

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Polytropic Work is the energy transferred to or from an object via the application of force along with a displacement for a system whose pressure and volume obey a certain thermodynamic relation. Check FAQs

W polytropic = \frac{P f \cdot V 2 - P i \cdot V 1}{1 - n}

W_polytropic - Polytropic Work?P_f - Final Pressure of System?V₂ - Final Volume of Gas?P_i - Initial Pressure of System?V₁ - Initial Volume of Gas?n - Polytropic Index?

Polytropic Work Example

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

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

Here is how the Polytropic Work equation looks like.

4751.4333 = \frac{18.43 \cdot 99 - 65 \cdot 50}{1 - 1.3}

4751.4333J = \frac{18.43Pa \cdot 99m³ - 65Pa \cdot 50m³}{1 - 1.3}

4751.4333 = \frac{18.43 \cdot 99 - 65 \cdot 50}{1 - 1.3}

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Polytropic Work Solution

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

FIRST Step Consider the formula

W polytropic = \frac{P f \cdot V 2 - P i \cdot V 1}{1 - n}

Next Step Substitute values of Variables

∴

W polytropic = \frac{18.43Pa \cdot 99m³ - 65Pa \cdot 50m³}{1 - 1.3}

Next Step Prepare to Evaluate

∴

W polytropic = \frac{18.43 \cdot 99 - 65 \cdot 50}{1 - 1.3}

Next Step Evaluate

∴

W polytropic = 4751.43333333333J

LAST Step Rounding Answer

∴

W polytropic = 4751.4333J

Polytropic Work Formula Elements

Variables

Polytropic Work

Polytropic Work is the energy transferred to or from an object via the application of force along with a displacement for a system whose pressure and volume obey a certain thermodynamic relation.

Symbol: W_polytropic

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Polytropic Work

Final Pressure of System

Final Pressure of System is the total final pressure exerted by the molecules inside the system.

Symbol: P_f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Final Pressure of System

Final Volume of Gas

Final Volume of Gas is defined as the volume of gas at the end of the process.

Symbol: V₂

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Final Volume of Gas

Initial Pressure of System

Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

Symbol: P_i

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Initial Pressure of System

Initial Volume of Gas

Initial Volume of Gas is defined as the volume of gas at the beginning of the process.

Symbol: V₁

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Initial Volume of Gas

Polytropic Index

The Polytropic Index is that defined via a polytropic equation of state. The index dictates the type of thermodynamic process.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Polytropic Index

Other formulas in Closed System Work category

Go Degree of Freedom

F = C - p + 2

Go Number of Components

C = F + p - 2

Go Number of Phases

p = C - F + 2

Go Total Number of Variables in System

T v = p \cdot (C - 1) + 2

How to Evaluate Polytropic Work?

Polytropic Work evaluator uses Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index) to evaluate the Polytropic Work, Polytropic Work is the energy transferred to or from an object via the application of force along with a displacement for a system whose pressure and volume obey a certain thermodynamic relation. Polytropic Work is denoted by W_polytropic symbol.

How to evaluate Polytropic Work using this online evaluator? To use this online evaluator for Polytropic Work, enter Final Pressure of System (P_f), Final Volume of Gas (V₂), Initial Pressure of System (P_i), Initial Volume of Gas (V₁) & Polytropic Index (n) and hit the calculate button.

FAQs on Polytropic Work

What is the formula to find Polytropic Work?

The formula of Polytropic Work is expressed as Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index). Here is an example- 4751.433 = (18.43*99-65*50)/(1-1.3).

How to calculate Polytropic Work?

With Final Pressure of System (P_f), Final Volume of Gas (V₂), Initial Pressure of System (P_i), Initial Volume of Gas (V₁) & Polytropic Index (n) we can find Polytropic Work using the formula - Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index).

Can the Polytropic Work be negative?

Yes, the Polytropic Work, measured in Energy can be negative.

Which unit is used to measure Polytropic Work?

Polytropic Work is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Polytropic Work can be measured.

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Polytropic Work Formula

Polytropic Work Example

Polytropic Work Solution

Polytropic Work Formula Elements

Other formulas in Closed System Work category

How to Evaluate Polytropic Work?

FAQs on Polytropic Work

Variable Name