Work Done in Isothermal Process (using volume) Calculator

✖The Number of Moles of Ideal Gas is the quantity of gas particles in a system, essential for understanding gas behavior under various thermodynamic conditions.ⓘ Number of Moles of Ideal Gas [n]			+10% -10%
✖The Temperature of Gas is a measure of the average kinetic energy of gas molecules, influencing their behavior and interactions in thermodynamic processes.ⓘ Temperature of Gas [T_g]			+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 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 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 Isothermal Process (using volume) [W]

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Work Done in Isothermal Process (using volume) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)
W = n*[R]*T_g*ln(V_f/V_i)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

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.
Number of Moles of Ideal Gas - (Measured in Mole) - The Number of Moles of Ideal Gas is the quantity of gas particles in a system, essential for understanding gas behavior under various thermodynamic conditions.
Temperature of Gas - (Measured in Kelvin) - The Temperature of Gas is a measure of the average kinetic energy of gas molecules, influencing their behavior and interactions in thermodynamic processes.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Moles of Ideal Gas: 3 Mole --> 3 Mole No Conversion Required
Temperature of Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Final Volume of System: 13.37 Cubic Meter --> 13.37 Cubic Meter No Conversion Required
Initial Volume of System: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = n*[R]*T_g*ln(V_f/V_i) --> 3*[R]*300*ln(13.37/9)

Evaluating ... ...

W = 2961.6941671536

STEP 3: Convert Result to Output's Unit

2961.6941671536 Joule --> No Conversion Required

FINAL ANSWER

2961.6941671536 ≈ 2961.694 Joule <-- Work done in Thermodynamic Process

(Calculation completed in 00.004 seconds)

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Created by Ishan Gupta

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

Work Done in Isothermal Process (using volume) Formula

LaTeX Go

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

What is Work done in isothermal Process using Volume?

Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally.

What is Quasi Static Process?

It is Infinitely slow process. It's Path can be defined. There is no dissipation effects like friction etc. Both System and surroundings can be restored to
their initial state. System follows the same path if we reverse the
process. Quasi static process are also called reversible
process.

How to Calculate Work Done in Isothermal Process (using volume)?

Work Done in Isothermal Process (using volume) calculator uses Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System) to calculate the Work done in Thermodynamic Process, Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally. Work done in Thermodynamic Process is denoted by W symbol.

How to calculate Work Done in Isothermal Process (using volume) using this online calculator? To use this online calculator for Work Done in Isothermal Process (using volume), enter Number of Moles of Ideal Gas (n), Temperature of Gas (T_g), Final Volume of System (V_f) & Initial Volume of System (V_i) and hit the calculate button. Here is how the Work Done in Isothermal Process (using volume) calculation can be explained with given input values -> 2961.694 = 3*[R]*300*ln(13.37/9).

FAQ

What is Work Done in Isothermal Process (using volume)?

Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally and is represented as W = n*[R]*T_g*ln(V_f/V_i) or Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System). The Number of Moles of Ideal Gas is the quantity of gas particles in a system, essential for understanding gas behavior under various thermodynamic conditions, The Temperature of Gas is a measure of the average kinetic energy of gas molecules, influencing their behavior and interactions in thermodynamic processes, 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 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.

How to calculate Work Done in Isothermal Process (using volume)?

Work done in isothermal process (using volume) calculates the work required to take an ideal gas system from given volume to final volume isothermally is calculated using Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System). To calculate Work Done in Isothermal Process (using volume), you need Number of Moles of Ideal Gas (n), Temperature of Gas (T_g), Final Volume of System (V_f) & Initial Volume of System (V_i). With our tool, you need to enter the respective value for Number of Moles of Ideal Gas, Temperature of Gas, Final Volume of System & Initial Volume of System 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 Number of Moles of Ideal Gas, Temperature of Gas, Final Volume of System & Initial Volume of System. 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 = (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)

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