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)
TFinal = TInitial*(Vi/Vf)^((Cp molar/Cv molar)-1)
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.
Initial Volume of System - (Measured in Cubic Meter) - Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.
Final Volume of System - (Measured in Cubic Meter) - Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place.
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
Initial Volume of System: 11 Cubic Meter --> 11 Cubic Meter No Conversion Required
Final Volume of System: 13 Cubic Meter --> 13 Cubic Meter 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
TFinal = TInitial*(Vi/Vf)^((Cp molar/Cv molar)-1) --> 350*(11/13)^((122/103)-1)
Evaluating ... ...
TFinal = 339.378957736276
STEP 3: Convert Result to Output's Unit
339.378957736276 Kelvin --> No Conversion Required
FINAL ANSWER
339.378957736276 339.379 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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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

Final Temperature in Adiabatic Process (using volume) Formula

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)
TFinal = TInitial*(Vi/Vf)^((Cp molar/Cv molar)-1)

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 TFinal 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 (TInitial), Initial Volume of System (Vi), Final Volume of System (Vf), Molar Specific Heat Capacity at Constant Pressure (Cp molar) & Molar Specific Heat Capacity at Constant Volume (Cv 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 -> 339.379 = 350*(11/13)^((122/103)-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 TFinal = TInitial*(Vi/Vf)^((Cp molar/Cv 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). Initial Temperature of Gas is the measure of hotness or coldness of gas under the initial set of conditions, Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started, Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place, 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 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 (TInitial), Initial Volume of System (Vi), Final Volume of System (Vf), Molar Specific Heat Capacity at Constant Pressure (Cp molar) & Molar Specific Heat Capacity at Constant Volume (Cv 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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