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

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The Work done in Thermodynamic Process is the energy transferred when an ideal gas expands or contracts under pressure during a thermodynamic process. 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.

229.3535 = \frac{65 \cdot 9 - 42.5 \cdot 13.37}{(\frac{122.0005}{113.6855}) - 1}

229.3535J = \frac{65Pa \cdot 9m³ - 42.5Pa \cdot 13.37m³}{(\frac{122.0005J/K*mol}{113.6855J/K*mol}) - 1}

229.3535 = \frac{65 \cdot 9 - 42.5 \cdot 13.37}{(\frac{122.0005}{113.6855}) - 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 9m³ - 42.5Pa \cdot 13.37m³}{(\frac{122.0005J/K*mol}{113.6855J/K*mol}) - 1}

Next Step Prepare to Evaluate

∴

W = \frac{65 \cdot 9 - 42.5 \cdot 13.37}{(\frac{122.0005}{113.6855}) - 1}

Next Step Evaluate

∴

W = 229.353489176188J

LAST Step Rounding Answer

∴

W = 229.3535J

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

Variables

Work done in Thermodynamic Process

The Work done in Thermodynamic Process is the energy transferred when an ideal gas expands or contracts under pressure during a thermodynamic process.

Symbol: W

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Work done in Thermodynamic Process

Initial Pressure of System

The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process.

Symbol: P_i

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Initial Pressure of System

Initial Volume of System

The Initial Volume of System is the volume occupied by a gas before any changes in pressure or temperature occur, crucial for understanding gas behavior in thermodynamic processes.

Symbol: V_i

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Initial Volume of System

Final Pressure of System

The Final Pressure of System is the pressure exerted by a gas in a closed system at equilibrium, crucial for understanding thermodynamic processes and behaviors.

Symbol: P_f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Final Pressure of System

Final Volume of System

The Final Volume of System is the total space occupied by an ideal gas in a thermodynamic process, reflecting the system's conditions and behavior.

Symbol: V_f

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Final Volume of System

Molar Specific Heat Capacity at Constant Pressure

The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.

Symbol: C_{p molar}

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

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Volume

The Molar Specific Heat Capacity at Constant Volume is the amount of heat required to raise the temperature of one mole of a substance at constant volume.

Symbol: C_{v molar}

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

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Volume

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- 229.3673 = (65*9-42.5*13.37)/((122.0005/113.6855)-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

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

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