Work done in Isothermal Process (using Pressure) Calculator

✖Temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%
✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [P_i]			+10% -10%
✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure of System [P_f]			+10% -10%

✖Work done in Thermodynamic Process is done when a force that is applied to an object moves that object.ⓘ Work done in Isothermal Process (using Pressure) [W]

⎘ Copy

👎

Formula

✖

Work done in Isothermal Process (using Pressure)

Formula

`"W" = "[R]"*"T"_{"g"}*ln("P"_{"i"}/"P"_{"f"})`

Example

`"3143.883J"="[R]"*"300K"*ln("65Pa"/"18.43Pa")`

Calculator

LaTeX

Reset

👍

Download Chemical Engineering Formula PDF PDF Image

Work done in Isothermal Process (using Pressure) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)
W = [R]*T_g*ln(P_i/P_f)
This formula uses 1 Constants, 1 Functions, 4 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) - Work done in Thermodynamic Process is done when a force that is applied to an object moves that object.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the measure of hotness or coldness of a gas.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final pressure exerted by the molecules inside the system.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Final Pressure of System: 18.43 Pascal --> 18.43 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = [R]*T_g*ln(P_i/P_f) --> [R]*300*ln(65/18.43)

Evaluating ... ...

W = 3143.88330826187

STEP 3: Convert Result to Output's Unit

3143.88330826187 Joule --> No Conversion Required

FINAL ANSWER

3143.88330826187 ≈ 3143.883 Joule <-- Work done in Thermodynamic Process

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Thermodynamics » Ideal Gas » Work done in Isothermal Process (using Pressure)

Credits

Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

Ishan Gupta has created this Calculator and 50+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 20 Ideal Gas Calculators

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

Go 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)

Final Temperature in Adiabatic Process (using pressure)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Final Pressure of System/Initial Pressure of System)^(1-1/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))

Final Temperature in Adiabatic Process (using volume)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Work Done in Isothermal Process (using volume)

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)

Heat Transferred in Isothermal Process (using Pressure)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)

Heat Transferred in Isothermal Process (using Volume)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Final Volume of System/Initial Volume of System)

Work done in Isothermal Process (using Pressure)

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

Relative Humidity

Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)

Heat Transfer in Isobaric Process

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

Heat Transfer in Isochoric Process

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

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

Enthalpy of System

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

Ideal Gas Law for Calculating Volume

Go Ideal Gas Law for Calculating Volume = [R]*Temperature of Gas/Total Pressure of Ideal Gas

Ideal Gas Law for Calculating Pressure

Go Ideal Gas Law for calculating Pressure = [R]*(Temperature of Gas)/Total Volume of System

Adiabatic Index

Go Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Pressure

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

Specific Heat Capacity at Constant Volume

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

Henry Law Constant using Mole Fraction and Partial Pressure of Gas

Go Henry Law Constant = Partial Pressure/Mole Fraction of Component in Liquid Phase

Mole Fraction of Dissolved Gas using Henry Law

Go Mole Fraction of Component in Liquid Phase = Partial Pressure/Henry Law Constant

Partial Pressure using Henry Law

Go Partial Pressure = Henry Law Constant*Mole Fraction of Component in Liquid Phase

Work done in Isothermal Process (using Pressure) Formula

Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)
W = [R]*T_g*ln(P_i/P_f)

What is Work done in Isothermal Process (using Pressure)?

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

How to Calculate Work done in Isothermal Process (using Pressure)?

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

How to calculate Work done in Isothermal Process (using Pressure) using this online calculator? To use this online calculator for Work done in Isothermal Process (using Pressure), enter Temperature of Gas (T_g), Initial Pressure of System (P_i) & Final Pressure of System (P_f) and hit the calculate button. Here is how the Work done in Isothermal Process (using Pressure) calculation can be explained with given input values -> 3143.883 = [R]*300*ln(65/18.43).

FAQ

What is Work done in Isothermal Process (using Pressure)?

Work done in isothermal process (using pressure) calculates the work required to take an ideal gas system from given pressure value to final pressure value isothermally and is represented as W = [R]*T_g*ln(P_i/P_f) or Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System). Temperature of Gas is the measure of hotness or coldness of a gas, Initial Pressure of System is the total initial pressure exerted by the molecules inside the system & Final Pressure of System is the total final pressure exerted by the molecules inside the system.

How to calculate Work done in Isothermal Process (using Pressure)?

Work done in isothermal process (using pressure) calculates the work required to take an ideal gas system from given pressure value to final pressure value isothermally is calculated using Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System). To calculate Work done in Isothermal Process (using Pressure), you need Temperature of Gas (T_g), Initial Pressure of System (P_i) & Final Pressure of System (P_f). With our tool, you need to enter the respective value for Temperature of Gas, Initial Pressure of System & Final Pressure 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 Temperature of Gas, Initial Pressure of System & Final Pressure of System. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search