Isentropic Process T-v Relation of Ideal Gases

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

\(\displaystyle \frac{T_2}{T_1} = \left(\frac{v_1}{v_2}\right)^{k-1}\)

\(\displaystyle T_2 = T_1\left(\frac{v_1}{v_2}\right)^{k-1} \qquad \text{and} \qquad v_2 = v_1\left(\frac{T_1}{T_2}\right)^{1/(k-1)}\)

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 specific volume \(v_1\) [0.1, 1] m³/kg

Select either \(v_2\) or \(T_2\) as third input

Final specific volume \(v_2\) [0.1, 1] m³/kg

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.