Heat Transferred in Isothermal Process (using Pressure) Calculator

✖The Initial Temperature of Gas is the temperature at which a gas begins to exist in a system, influencing its pressure and volume according to thermodynamic principles.ⓘ Initial Temperature of Gas [T_Initial]			+10% -10%
✖The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process.ⓘ Initial Pressure of System [P_i]			+10% -10%
✖The Final Pressure of System is the pressure exerted by a gas in a closed system at equilibrium, crucial for understanding thermodynamic processes and behaviors.ⓘ Final Pressure of System [P_f]			+10% -10%

✖The Heat Transferred in Thermodynamic Process is the energy exchanged between a system and its surroundings during a thermodynamic process involving an ideal gas.ⓘ Heat Transferred in Isothermal Process (using Pressure) [Q]

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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) - The Heat Transferred in Thermodynamic Process is the energy exchanged between a system and its surroundings during a thermodynamic process involving an ideal gas.
Initial Temperature of Gas - (Measured in Kelvin) - The Initial Temperature of Gas is the temperature at which a gas begins to exist in a system, influencing its pressure and volume according to thermodynamic principles.
Initial Pressure of System - (Measured in Pascal) - The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process.
Final Pressure of System - (Measured in Pascal) - The Final Pressure of System is the pressure exerted by a gas in a closed system at equilibrium, crucial for understanding thermodynamic processes and behaviors.

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: 42.5 Pascal --> 42.5 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(65/42.5)

Evaluating ... ...

Q = 1236.43640165701

STEP 3: Convert Result to Output's Unit

1236.43640165701 Joule --> No Conversion Required

FINAL ANSWER

1236.43640165701 ≈ 1236.436 Joule <-- Heat Transferred in Thermodynamic Process

(Calculation completed in 00.015 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

Heat Transferred in Isothermal Process (using Pressure) Formula

LaTeX Go

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 -> 1202.4 = [R]*350*ln(65/42.5).

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). The Initial Temperature of Gas is the temperature at which a gas begins to exist in a system, influencing its pressure and volume according to thermodynamic principles, The Initial Pressure of System is the pressure exerted by a gas within a closed system at the beginning of a thermodynamic process & The Final Pressure of System is the pressure exerted by a gas in a closed system at equilibrium, crucial for understanding thermodynamic processes and behaviors.

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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