Final Temperature in Adiabatic 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 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 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 Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%
✖The Molar Specific Heat Capacity at Constant Volume is the amount of heat required to raise the temperature of one mole of a substance at constant volume.ⓘ Molar Specific Heat Capacity at Constant Volume [C_{v molar}]			+10% -10%

✖The Final Temperature in Adiabatic Process is the temperature of a gas after it has expanded or compressed without heat exchange with its surroundings.ⓘ Final Temperature in Adiabatic Process (using volume) [T_Final]

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Final Temperature in Adiabatic Process (using volume) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_Final = T_Initial*(V_i/V_f)^((C_{p molar}/C_{v molar})-1)
This formula uses 6 Variables

Variables Used

Final Temperature in Adiabatic Process - (Measured in Kelvin) - The Final Temperature in Adiabatic Process is the temperature of a gas after it has expanded or compressed without heat exchange with its surroundings.
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 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.
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.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.
Molar Specific Heat Capacity at Constant Volume - (Measured in Joule Per Kelvin Per Mole) - The Molar Specific Heat Capacity at Constant Volume is the amount of heat required to raise the temperature of one mole of a substance at constant volume.

STEP 1: Convert Input(s) to Base Unit

Initial Temperature of Gas: 350 Kelvin --> 350 Kelvin No Conversion Required
Initial Volume of System: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required
Final Volume of System: 13.37 Cubic Meter --> 13.37 Cubic Meter No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122.0005 Joule Per Kelvin Per Mole --> 122.0005 Joule Per Kelvin Per Mole No Conversion Required
Molar Specific Heat Capacity at Constant Volume: 113.6855 Joule Per Kelvin Per Mole --> 113.6855 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_Final = T_Initial*(V_i/V_f)^((C_{p molar}/C_{v molar})-1) --> 350*(9/13.37)^((122.0005/113.6855)-1)

Evaluating ... ...

T_Final = 340.013394552983

STEP 3: Convert Result to Output's Unit

340.013394552983 Kelvin --> No Conversion Required

FINAL ANSWER

340.013394552983 ≈ 340.0134 Kelvin <-- Final Temperature in Adiabatic 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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Final Temperature in Adiabatic Process (using volume) Formula

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What is an adiabatic process?

In thermodynamics, an adiabatic process is a type of thermodynamic process which occurs without transferring heat or mass between the system and its surroundings. Unlike an isothermal process, an adiabatic process transfers energy to the surroundings only as work.

How to Calculate Final Temperature in Adiabatic Process (using volume)?

Final Temperature in Adiabatic Process (using volume) calculator uses 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) to calculate the Final Temperature in Adiabatic Process, Final Temperature in Adiabatic Process (using volume) can compute the final temperature of the system after an adiabatic process. Final Temperature in Adiabatic Process is denoted by T_Final symbol.

How to calculate Final Temperature in Adiabatic Process (using volume) using this online calculator? To use this online calculator for Final Temperature in Adiabatic Process (using volume), enter Initial Temperature of Gas (T_Initial), Initial Volume of System (V_i), Final Volume of System (V_f), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) and hit the calculate button. Here is how the Final Temperature in Adiabatic Process (using volume) calculation can be explained with given input values -> 340.014 = 350*(9/13.37)^((122.0005/113.6855)-1).

FAQ

What is Final Temperature in Adiabatic Process (using volume)?

Final Temperature in Adiabatic Process (using volume) can compute the final temperature of the system after an adiabatic process and is represented as T_Final = T_Initial*(V_i/V_f)^((C_{p molar}/C_{v molar})-1) or 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). 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 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, 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 Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure & The Molar Specific Heat Capacity at Constant Volume is the amount of heat required to raise the temperature of one mole of a substance at constant volume.

How to calculate Final Temperature in Adiabatic Process (using volume)?

Final Temperature in Adiabatic Process (using volume) can compute the final temperature of the system after an adiabatic process is calculated using 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). To calculate Final Temperature in Adiabatic Process (using volume), you need Initial Temperature of Gas (T_Initial), Initial Volume of System (V_i), Final Volume of System (V_f), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}). With our tool, you need to enter the respective value for 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 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 Final Temperature in Adiabatic Process?

In this formula, Final Temperature in Adiabatic Process uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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