Isentropic Process T-p Relation of Ideal Gases

Isentropic Process T-p Relation of Ideal Gases with Constant Specific Heats

\(\displaystyle \frac{T_2}{T_1} = \left(\frac{p_2}{p_1}\right)^{(k-1)/k}\)

\(\displaystyle T_2 = T_1\left(\frac{p_2}{p_1}\right)^{(k-1)/k} \qquad \text{and} \qquad p_2 = p_1\left(\frac{T_2}{T_1}\right)^{k/(k-1)}\)

Symbols

Inputs & Outputs

Specific heat ratio \(k = c_p/c_v\)

Refer to the isentropic flow functions table for an ideal gas (Fluid Mechanics).

Initial temperature \(T_1\) [300, 1000] K

Initial pressure \(p_1\) [100, 1000] kPa

Select either \(p_2\) or \(T_2\) as third input

Final pressure \(p_2\) [100, 1000] kPa

Final temperature \(T_2\)

— K

The red dot marks the current final state. Drag it along the curve, or use the inputs above to change the final state.