Isothermal Work Done by Gas Calculator

✖Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.ⓘ Number of Moles [N_moles]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Final Volume of Gas is defined as the volume of gas at the end of the process.ⓘ Final Volume of Gas [V₂]			+10% -10%
✖Initial Volume of Gas is defined as the volume of gas at the beginning of the process.ⓘ Initial Volume of Gas [V₁]			+10% -10%

✖Isothermal Work is the Work done in the Isothermal process. In an isothermal process, the temperature remains constant.ⓘ Isothermal Work Done by Gas [W_{Iso T}]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Thermodynamics Formula PDF PDF Image

Isothermal Work Done by Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)
W_{Iso T} = N_moles*[R]*T*2.303*log10(V₂/V₁)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Isothermal Work - (Measured in Joule) - Isothermal Work is the Work done in the Isothermal process. In an isothermal process, the temperature remains constant.
Number of Moles - Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Final Volume of Gas - (Measured in Cubic Meter) - Final Volume of Gas is defined as the volume of gas at the end of the process.
Initial Volume of Gas - (Measured in Cubic Meter) - Initial Volume of Gas is defined as the volume of gas at the beginning of the process.

STEP 1: Convert Input(s) to Base Unit

Number of Moles: 4 --> No Conversion Required
Temperature: 288.16 Kelvin --> 288.16 Kelvin No Conversion Required
Final Volume of Gas: 99 Cubic Meter --> 99 Cubic Meter No Conversion Required
Initial Volume of Gas: 50 Cubic Meter --> 50 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_{Iso T} = N_moles*[R]*T*2.303*log10(V₂/V₁) --> 4*[R]*288.16*2.303*log10(99/50)

Evaluating ... ...

W_{Iso T} = 6547.69438489809

STEP 3: Convert Result to Output's Unit

6547.69438489809 Joule --> No Conversion Required

FINAL ANSWER

6547.69438489809 ≈ 6547.694 Joule <-- Isothermal Work

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Thermodynamics » Closed System Work » Isothermal Work Done by Gas

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

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

< Closed System Work Calculators

Isothermal Work using Pressure Ratio

LaTeX Go Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System)

Isothermal Work Done by Gas

LaTeX Go Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)

Polytropic Work

LaTeX Go Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index)

Work Done in Isobaric Process

LaTeX Go Isobaric Work = Pressure Object*(Final Volume of Gas-Initial Volume of Gas)

< 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

Isothermal Work Done by Gas Formula

LaTeX Go

Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)
W_{Iso T} = N_moles*[R]*T*2.303*log10(V₂/V₁)

Define Isothermal Process?

In thermodynamics, an isothermal process is a type of thermodynamic process in which the temperature of the system remains constant: ΔT = 0. ... In contrast, an adiabatic process is where a system exchanges no heat with its surroundings (Q = 0).

How to Calculate Isothermal Work Done by Gas?

Isothermal Work Done by Gas calculator uses Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas) to calculate the Isothermal Work, Isothermal Work Done by Gas is defined as the work done at a constant temperature. The internal energy of the closed undergoing isothermal process is constant. Isothermal Work is denoted by W_{Iso T} symbol.

How to calculate Isothermal Work Done by Gas using this online calculator? To use this online calculator for Isothermal Work Done by Gas, enter Number of Moles (N_moles), Temperature (T), Final Volume of Gas (V₂) & Initial Volume of Gas (V₁) and hit the calculate button. Here is how the Isothermal Work Done by Gas calculation can be explained with given input values -> 6547.694 = 4*[R]*288.16*2.303*log10(99/50).

FAQ

What is Isothermal Work Done by Gas?

Isothermal Work Done by Gas is defined as the work done at a constant temperature. The internal energy of the closed undergoing isothermal process is constant and is represented as W_{Iso T} = N_moles*[R]*T*2.303*log10(V₂/V₁) or Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas). Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight, Temperature is the degree or intensity of heat present in a substance or object, Final Volume of Gas is defined as the volume of gas at the end of the process & Initial Volume of Gas is defined as the volume of gas at the beginning of the process.

How to calculate Isothermal Work Done by Gas?

Isothermal Work Done by Gas is defined as the work done at a constant temperature. The internal energy of the closed undergoing isothermal process is constant is calculated using Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas). To calculate Isothermal Work Done by Gas, you need Number of Moles (N_moles), Temperature (T), Final Volume of Gas (V₂) & Initial Volume of Gas (V₁). With our tool, you need to enter the respective value for Number of Moles, Temperature, Final Volume of Gas & Initial Volume of Gas 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 Isothermal Work?

In this formula, Isothermal Work uses Number of Moles, Temperature, Final Volume of Gas & Initial Volume of Gas. We can use 1 other way(s) to calculate the same, which is/are as follows -

Isothermal Work = Number of Moles*[R]*Temperature of Gas*2.303*log10(Final Volume of System/Initial Volume of System)

Home

FREE PDFs

🔍 Search