Isentropic Process p-v Relation of Ideal Gases

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

\(\displaystyle \frac{p_2}{p_1} = \left(\frac{v_1}{v_2}\right)^{k}\)

\(\displaystyle v_2 = v_1\left(\frac{p_1}{p_2}\right)^{1/k} \qquad \text{and} \qquad p_2 = p_1\left(\frac{v_1}{v_2}\right)^{k}\)

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

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

Select either \(p_2\) or \(v_2\) as third input

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

Final specific volume \(v_2\)

— m³/kg

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