Heat Transferred in Isothermal Process (using Pressure) Calculator

✖Initial Temperature of Gas is the measure of hotness or coldness of gas under the initial set of conditions.ⓘ Initial temperature of Gas [T_Initial]			+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%

✖Heat Transferred in Thermodynamic Process is the form of energy that is transferred from the high-temperature system to the low-temperature system.ⓘ Heat Transferred in Isothermal Process (using Pressure) [Q]

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Formula

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Heat Transferred in Isothermal Process (using Pressure)

Formula

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

Example

`"3667.864J"="[R]"*"350K"*ln("65Pa"/"18.43Pa")`

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Heat Transferred in Isothermal Process (using Pressure) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Heat Transferred in Thermodynamic Process - (Measured in Joule) - Heat Transferred in Thermodynamic Process is the form of energy that is transferred from the high-temperature system to the low-temperature system.
Initial temperature of Gas - (Measured in Kelvin) - Initial Temperature of Gas is the measure of hotness or coldness of gas under the initial set of conditions.
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

Initial temperature of Gas: 350 Kelvin --> 350 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

Q = [R]*T_Initial*ln(P_i/P_f) --> [R]*350*ln(65/18.43)

Evaluating ... ...

Q = 3667.86385963885

STEP 3: Convert Result to Output's Unit

3667.86385963885 Joule --> No Conversion Required

FINAL ANSWER

3667.86385963885 ≈ 3667.864 Joule <-- Heat Transferred 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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< 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

Heat Transferred in Isothermal Process (using Pressure) Formula

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

What is Heat transferred in isothermal process (using pressure)?

Heat transferred in isothermal process (using pressure) calculates the het transferred in taking an ideal gas system from given pressure value to final pressure value isothermally.

How to Calculate Heat Transferred in Isothermal Process (using Pressure)?

Heat Transferred in Isothermal Process (using Pressure) calculator uses Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System) to calculate the Heat Transferred in Thermodynamic Process, Heat transferred in isothermal process (using pressure) calculates the heat transferred in taking an ideal gas system from given pressure value to final pressure value isothermally. Heat Transferred in Thermodynamic Process is denoted by Q symbol.

How to calculate Heat Transferred in Isothermal Process (using Pressure) using this online calculator? To use this online calculator for Heat Transferred in Isothermal Process (using Pressure), enter Initial temperature of Gas (T_Initial), Initial Pressure of System (P_i) & Final Pressure of System (P_f) and hit the calculate button. Here is how the Heat Transferred in Isothermal Process (using Pressure) calculation can be explained with given input values -> 3667.864 = [R]*350*ln(65/18.43).

FAQ

What is Heat Transferred in Isothermal Process (using Pressure)?

Heat transferred in isothermal process (using pressure) calculates the heat transferred in taking an ideal gas system from given pressure value to final pressure value isothermally and is represented as Q = [R]*T_Initial*ln(P_i/P_f) or Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System). Initial Temperature of Gas is the measure of hotness or coldness of gas under the initial set of conditions, 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 Heat Transferred in Isothermal Process (using Pressure)?

Heat transferred in isothermal process (using pressure) calculates the heat transferred in taking an ideal gas system from given pressure value to final pressure value isothermally is calculated using Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System). To calculate Heat Transferred in Isothermal Process (using Pressure), you need Initial temperature of Gas (T_Initial), Initial Pressure of System (P_i) & Final Pressure of System (P_f). With our tool, you need to enter the respective value for Initial 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 Heat Transferred in Thermodynamic Process?

In this formula, Heat Transferred in Thermodynamic Process uses Initial temperature of Gas, Initial Pressure of System & Final Pressure of System. We can use 3 other way(s) to calculate the same, which is/are as follows -

Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference
Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference
Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Final Volume of System/Initial Volume of System)

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