Final Temperature in Adiabatic Process (using volume) Calculator

Formula

The formula to calculate the Final Temperature in Adiabatic Process (T_Final) is:

\[ T_{Final} = T_{Initial} \cdot \left(\frac{V_i}{V_f}\right)^{\left(\frac{C_{p \, \text{molar}}}{C_{v \, \text{molar}}} - 1\right)} \]

The Final Temperature in Adiabatic Process is the measure of hotness or coldness of a system at its final state. It is measured in Kelvin.

Let's assume the following values:

Initial Temperature of Gas (T_Initial) = 350 Kelvin
Initial Volume of System (V_i) = 11 Cubic Meter
Final Volume of System (V_f) = 13 Cubic Meter
Molar Specific Heat Capacity at Constant Pressure (C_{p \, \text{molar}}) = 122 Joule Per Kelvin Per Mole
Molar Specific Heat Capacity at Constant Volume (C_{v \, \text{molar}}) = 103 Joule Per Kelvin Per Mole

Using the formula:

\[ T_{Final} = 350 \cdot \left(\frac{11}{13}\right)^{\left(\frac{122}{103} - 1\right)} \approx 339.378957736276 \]

The Final Temperature in Adiabatic Process is approximately 339.378957736276 Kelvin.

Initial Temperature of Gas (Kelvin)	Final Temperature in Adiabatic Process (Kelvin)
300	290.896249488236549
310	300.592791137844415
320	310.289332787452338
330	319.985874437060204
340	329.682416086668070
350	339.378957736275993
360	349.075499385883859
370	358.772041035491725
380	368.468582685099648
390	378.165124334707514
400	387.861665984315380