Heat Transferred in Isothermal Process (using Volume) 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 Final Volume of System is the total space occupied by an ideal gas in a thermodynamic process, reflecting the system's conditions and behavior.ⓘ Final Volume of System [V_f]			+10% -10%
✖The Initial Volume of System is the volume occupied by a gas before any changes in pressure or temperature occur, crucial for understanding gas behavior in thermodynamic processes.ⓘ Initial Volume of System [V_i]			+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 Volume) [Q]

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Heat Transferred in Isothermal Process (using Volume) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Transferred in Thermodynamic Process = [R]*Initial Temperature of Gas*ln(Final Volume of System/Initial Volume of System)
Q = [R]*T_Initial*ln(V_f/V_i)
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.
Final Volume of System - (Measured in Cubic Meter) - The Final Volume of System is the total space occupied by an ideal gas in a thermodynamic process, reflecting the system's conditions and behavior.
Initial Volume of System - (Measured in Cubic Meter) - The Initial Volume of System is the volume occupied by a gas before any changes in pressure or temperature occur, crucial for understanding gas behavior in thermodynamic processes.

STEP 1: Convert Input(s) to Base Unit

Initial Temperature of Gas: 350 Kelvin --> 350 Kelvin No Conversion Required
Final Volume of System: 13.37 Cubic Meter --> 13.37 Cubic Meter No Conversion Required
Initial Volume of System: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = [R]*T_Initial*ln(V_f/V_i) --> [R]*350*ln(13.37/9)

Evaluating ... ...

Q = 1151.76995389307

STEP 3: Convert Result to Output's Unit

1151.76995389307 Joule --> No Conversion Required

FINAL ANSWER

1151.76995389307 ≈ 1151.77 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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< 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 Volume) Formula

LaTeX Go

Heat Transferred in Thermodynamic Process = [R]*Initial Temperature of Gas*ln(Final Volume of System/Initial Volume of System)
Q = [R]*T_Initial*ln(V_f/V_i)

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

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

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

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

How to calculate Heat Transferred in Isothermal Process (using Volume) using this online calculator? To use this online calculator for Heat Transferred in Isothermal Process (using Volume), enter Initial Temperature of Gas (T_Initial), Final Volume of System (V_f) & Initial Volume of System (V_i) and hit the calculate button. Here is how the Heat Transferred in Isothermal Process (using Volume) calculation can be explained with given input values -> 1153.946 = [R]*350*ln(13.37/9).

FAQ

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

Heat transferred in isothermal process (using volume) calculates the heat transferred in taking an ideal gas system from given volume to final volume value isothermally and is represented as Q = [R]*T_Initial*ln(V_f/V_i) or Heat Transferred in Thermodynamic Process = [R]*Initial Temperature of Gas*ln(Final Volume of System/Initial Volume 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 Final Volume of System is the total space occupied by an ideal gas in a thermodynamic process, reflecting the system's conditions and behavior & The Initial Volume of System is the volume occupied by a gas before any changes in pressure or temperature occur, crucial for understanding gas behavior in thermodynamic processes.

How to calculate Heat Transferred in Isothermal Process (using Volume)?

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

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