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

✖The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process.ⓘ Initial Pressure of System [P_i]			+10% -10%
✖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.ⓘ Initial Volume of System [V_i]			+10% -10%
✖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.ⓘ Final Pressure of System [P_f]			+10% -10%
✖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.ⓘ Final Volume of System [V_f]			+10% -10%
✖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.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%
✖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.ⓘ Molar Specific Heat Capacity at Constant Volume [C_{v molar}]			+10% -10%

✖The Work done in Thermodynamic Process is the energy transferred when an ideal gas expands or contracts under pressure during a thermodynamic process.ⓘ Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume [W]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
W = (P_i*V_i-P_f*V_f)/((C_{p molar}/C_{v molar})-1)
This formula uses 7 Variables

Variables Used

Work done in Thermodynamic Process - (Measured in Joule) - The Work done in Thermodynamic Process is the energy transferred when an ideal gas expands or contracts under pressure during a thermodynamic process.
Initial Pressure of System - (Measured in Pascal) - The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process.
Initial Volume of System - (Measured in Cubic Meter) - 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.
Final Pressure of System - (Measured in Pascal) - 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.
Final Volume of System - (Measured in Cubic Meter) - 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.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - 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.
Molar Specific Heat Capacity at Constant Volume - (Measured in Joule Per Kelvin Per Mole) - 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.

STEP 1: Convert Input(s) to Base Unit

Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Initial Volume of System: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Final Pressure of System: 42.5 Pascal --> 42.5 Pascal No Conversion Required
Final Volume of System: 13.37 Cubic Meter --> 13.37 Cubic Meter No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122.0005 Joule Per Kelvin Per Mole --> 122.0005 Joule Per Kelvin Per Mole No Conversion Required
Molar Specific Heat Capacity at Constant Volume: 113.6855 Joule Per Kelvin Per Mole --> 113.6855 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (P_i*V_i-P_f*V_f)/((C_{p molar}/C_{v molar})-1) --> (65*9-42.5*13.37)/((122.0005/113.6855)-1)

Evaluating ... ...

W = 229.353489176188

STEP 3: Convert Result to Output's Unit

229.353489176188 Joule --> No Conversion Required

FINAL ANSWER

229.353489176188 ≈ 229.3535 Joule <-- Work done in Thermodynamic Process

(Calculation completed in 00.004 seconds)

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Birla Institute of Technology & Science (BITS), Pilani

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< Ideal Gas Calculators

Heat Transfer in Isochoric Process

LaTeX Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Change in Internal Energy of System

LaTeX Go Change in Internal Energy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Enthalpy of System

LaTeX Go System Enthalpy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference

Specific Heat Capacity at Constant Pressure

LaTeX Go Molar Specific Heat Capacity at Constant Pressure = [R]+Specific Molar Heat Capacity at Constant Volume

< Basic Formulas of Thermodynamics Calculators

Total Number of Variables in System

LaTeX Go Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2

Number of Components

LaTeX Go Number of Components in System = Degree of Freedom+Number of Phases-2

Degree of Freedom

LaTeX Go Degree of Freedom = Number of Components in System-Number of Phases+2

Number of Phases

LaTeX Go Number of Phases = Number of Components in System-Degree of Freedom+2

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

LaTeX Go

What is an Adiabatic Process?

In thermodynamics, an adiabatic process is a type of thermodynamic process which occurs without transferring heat or mass between the system and its surroundings. Unlike an isothermal process, an adiabatic process transfers energy to the surroundings only as work.

How to Calculate 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 calculator 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 calculate 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 calculate Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume using this online calculator? To use this online calculator 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. Here is how the Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume calculation can be explained with given input values -> 229.3673 = (65*9-42.5*13.37)/((122.0005/113.6855)-1).

FAQ

What is 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 computes the work required to take an ideal gas system from initial state to final state without any heat transfer and is represented as W = (P_i*V_i-P_f*V_f)/((C_{p molar}/C_{v molar})-1) or 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). The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process, 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, 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, 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, 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 & 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.

How to calculate 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 computes the work required to take an ideal gas system from initial state to final state without any heat transfer is calculated using 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 calculate Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume, you need 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}). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Work done in Thermodynamic Process?

In this formula, Work done in Thermodynamic Process uses 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. We can use 2 other way(s) to calculate the same, which is/are as follows -

Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)
Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)

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