Final Temperature in Adiabatic Process (using pressure) Calculator

Formula

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

\[ T_{Final} = T_{Initial} \left(\frac{P_f}{P_i}\right)^{1 - \frac{1}{\frac{C_{p \, molar}}{C_{v \, molar}}}} \]

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 Pressure of System (P_i) = 65 Pascal
Final Pressure of System (P_f) = 18.43 Pascal
Molar Specific Heat Capacity at Constant Pressure (C_{p \, molar}) = 122 Joule Per Kelvin Per Mole
Molar Specific Heat Capacity at Constant Volume (C_{v \, molar}) = 103 Joule Per Kelvin Per Mole

Using the formula:

\[ T_{Final} = 350 \left(\frac{18.43}{65}\right)^{1 - \frac{1}{\frac{122}{103}}} \approx 287.620005462454 \]

The Final Temperature in Adiabatic Process is approximately 287.620005462454 Kelvin.