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Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Formula

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Work done in Thermodynamic Process is done when a force that is applied to an object moves that object. Check FAQs

W = \frac{P i \cdot V i - P f \cdot V f}{(\frac{C p molar}{C v molar}) - 1}

W - Work done in Thermodynamic Process?P_i - Initial Pressure of System?V_i - Initial Volume of System?P_f - Final Pressure of System?V_f - Final Volume of System?C_{p molar} - Molar Specific Heat Capacity at Constant Pressure?C_{v molar} - Molar Specific Heat Capacity at Constant Volume?

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Example

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Here is how the Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume equation looks like with Values.

Here is how the Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume equation looks like with Units.

Here is how the Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume equation looks like.

2577.2226 = \frac{65 \cdot 11 - 18.43 \cdot 13}{(\frac{122}{103}) - 1}

2577.2226J = \frac{65Pa \cdot 11m³ - 18.43Pa \cdot 13m³}{(\frac{122J/K*mol}{103J/K*mol}) - 1}

2577.2226 = \frac{65 \cdot 11 - 18.43 \cdot 13}{(\frac{122}{103}) - 1}

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Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Solution

Follow our step by step solution on how to calculate Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume?

FIRST Step Consider the formula

W = \frac{P i \cdot V i - P f \cdot V f}{(\frac{C p molar}{C v molar}) - 1}

Next Step Substitute values of Variables

∴

W = \frac{65Pa \cdot 11m³ - 18.43Pa \cdot 13m³}{(\frac{122J/K*mol}{103J/K*mol}) - 1}

Next Step Prepare to Evaluate

∴

W = \frac{65 \cdot 11 - 18.43 \cdot 13}{(\frac{122}{103}) - 1}

Next Step Evaluate

∴

W = 2577.22263157895J

LAST Step Rounding Answer

∴

W = 2577.2226J

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Formula Elements

Variables

Work done in Thermodynamic Process

Work done in Thermodynamic Process is done when a force that is applied to an object moves that object.

Symbol: W

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

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.

Initial Volume of System

Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.

Symbol: V_i

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

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.

Final Volume of System

Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place.

Symbol: V_f

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

Symbol: C_{p molar}

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Molar Specific Heat Capacity at Constant Volume

Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

Symbol: C_{v molar}

Measurement: Molar Specific Heat Capacity at Constant VolumeUnit: J/K*mol

Note: Value should be greater than 0.

Credits

Created by

Birla Institute of Technology & Science (BITS), Pilani

Ishan Gupta has created this Formula and 50+ more formulas!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Formula and 1100+ more formulas!

Other formulas in Ideal Gas category

Go Degree of Freedom

F = C - p + 2

Go Number of Components

C = F + p - 2

How to Evaluate Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume?

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume evaluator uses Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1) to evaluate the Work done in Thermodynamic Process, Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume computes the work required to take an ideal gas system from initial state to final state without any heat transfer. Work done in Thermodynamic Process is denoted by W symbol.

How to evaluate Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume using this online evaluator? To use this online evaluator for Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume, enter Initial Pressure of System (P_i), Initial Volume of System (V_i), Final Pressure of System (P_f), Final Volume of System (V_f), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) and hit the calculate button.

FAQs on Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume

What is the formula to find Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume?

The formula of Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume is expressed as Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1). Here is an example- 2577.223 = (65*11-18.43*13)/((122/103)-1).

How to calculate Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume?

With Initial Pressure of System (P_i), Initial Volume of System (V_i), Final Pressure of System (P_f), Final Volume of System (V_f), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) we can find Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume using the formula - Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1).

Can the Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume be negative?

No, the Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume, measured in Energy cannot be negative.

Which unit is used to measure Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume?

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume can be measured.

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Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Formula

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Example

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Solution

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume Formula Elements

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Other formulas in Ideal Gas category

How to Evaluate Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume?

FAQs on Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume

Variable Name