Final Temperature in Adiabatic 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%
✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure of System [P_f]			+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%
✖Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%
✖Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.ⓘ Molar Specific Heat Capacity at Constant Volume [C_{v molar}]			+10% -10%

✖Final Temperature in Adiabatic Process is the measure of hotness or coldness of a system at its final state.ⓘ Final Temperature in Adiabatic Process (using pressure) [T_Final]

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Final Temperature in Adiabatic Process (using pressure) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Final Temperature in Adiabatic Process - (Measured in Kelvin) - Final Temperature in Adiabatic Process is the measure of hotness or coldness of a system at its final state.
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.
Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final pressure exerted by the molecules inside the system.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Molar Specific Heat Capacity at Constant Volume - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

STEP 1: Convert Input(s) to Base Unit

Initial temperature of Gas: 350 Kelvin --> 350 Kelvin No Conversion Required
Final Pressure of System: 18.43 Pascal --> 18.43 Pascal No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Molar Specific Heat Capacity at Constant Volume: 103 Joule Per Kelvin Per Mole --> 103 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_Final = T_Initial*(P_f/P_i)^(1-1/(C_{p molar}/C_{v molar})) --> 350*(18.43/65)^(1-1/(122/103))

Evaluating ... ...

T_Final = 287.620005462454

STEP 3: Convert Result to Output's Unit

287.620005462454 Kelvin --> No Conversion Required

FINAL ANSWER

287.620005462454 ≈ 287.62 Kelvin <-- Final Temperature in Adiabatic Process

(Calculation completed in 00.020 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 pressure) 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 pressure)?

Final Temperature in Adiabatic Process (using pressure) calculator uses 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)) to calculate the Final Temperature in Adiabatic Process, Final Temperature in Adiabatic Process (using pressure) 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 pressure) using this online calculator? To use this online calculator for Final Temperature in Adiabatic Process (using pressure), enter Initial temperature of Gas (T_Initial), Final Pressure of System (P_f), Initial Pressure of System (P_i), 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 pressure) calculation can be explained with given input values -> 287.62 = 350*(18.43/65)^(1-1/(122/103)).

FAQ

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

Final Temperature in Adiabatic Process (using pressure) can compute the final temperature of the system after an adiabatic process and is represented as T_Final = T_Initial*(P_f/P_i)^(1-1/(C_{p molar}/C_{v molar})) or 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)). Initial Temperature of Gas is the measure of hotness or coldness of gas under the initial set of conditions, Final Pressure of System is the total final pressure exerted by the molecules inside the system, Initial Pressure of System is the total initial pressure exerted by the molecules inside the system, Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure & Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

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

Final Temperature in Adiabatic Process (using pressure) can compute the final temperature of the system after an adiabatic process is calculated using 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)). To calculate Final Temperature in Adiabatic Process (using pressure), you need Initial temperature of Gas (T_Initial), Final Pressure of System (P_f), Initial Pressure of System (P_i), 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, Final Pressure of System, Initial Pressure 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, Final Pressure of System, Initial Pressure 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*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

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