Isothermal Work using Temperature Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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%

✖Isothermal work given temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant.ⓘ Isothermal Work using Temperature [W_b]

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Isothermal Work using Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System)
W_b = [R]*T*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

Isothermal work given temperature - (Measured in Joule) - Isothermal work given temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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: 288.16 Kelvin --> 288.16 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_b = [R]*T*ln(P_i/P_f) --> [R]*288.16*ln(65/18.43)

Evaluating ... ...

W_b = 3019.8047136958

STEP 3: Convert Result to Output's Unit

3019.8047136958 Joule --> No Conversion Required

FINAL ANSWER

3019.8047136958 ≈ 3019.805 Joule <-- Isothermal work given temperature

(Calculation completed in 00.004 seconds)

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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< 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 using Temperature Formula

LaTeX Go

Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System)
W_b = [R]*T*ln(P_i/P_f)

What is Isothermal Work?

Isothermal work is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant. Given the value of absolute temperature and the respective pressures, the isothermal work can be calculated. Positive work adds energy to a system. Negative work removes or dissipates energy from the system.

How to Calculate Isothermal Work using Temperature?

Isothermal Work using Temperature calculator uses Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System) to calculate the Isothermal work given temperature, Isothermal Work using Temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant. Isothermal work given temperature is denoted by W_b symbol.

How to calculate Isothermal Work using Temperature using this online calculator? To use this online calculator for Isothermal Work using Temperature, enter Temperature (T), Initial Pressure of System (P_i) & Final Pressure of System (P_f) and hit the calculate button. Here is how the Isothermal Work using Temperature calculation can be explained with given input values -> 3019.805 = [R]*288.16*ln(65/18.43).

FAQ

What is Isothermal Work using Temperature?

Isothermal Work using Temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant and is represented as W_b = [R]*T*ln(P_i/P_f) or Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System). Temperature is the degree or intensity of heat present in a substance or object, 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 Isothermal Work using Temperature?

Isothermal Work using Temperature is the energy transferred to or from an object via the application of force along with a displacement for a system whose temperature is constant is calculated using Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System). To calculate Isothermal Work using Temperature, you need Temperature (T), Initial Pressure of System (P_i) & Final Pressure of System (P_f). With our tool, you need to enter the respective value for Temperature, 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.

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