Isothermal (Constant-Temperature) Processes of Ideal Gases in a Closed System
\(\displaystyle pV = \text{constant}\)
\(\displaystyle p_1 V_1 = p_2 V_2\)
\(\displaystyle V_2 = V_1\,\frac{p_1}{p_2} \qquad \text{and} \qquad p_2 = p_1\,\frac{V_1}{V_2}\)
Symbols
- \(p\) — absolute pressure
- \(V\) — volume
- subscript \(1\) — initial state
- subscript \(2\) — final state
Schematic
Inputs & Outputs
Final volume \(V_2\)
— m³
State 1: \(p_1,\;V_1\)
— kPa, — m³
State 2: \(p_2,\;V_2\)
— kPa, — m³
Constant \(p_1 V_1 = p_2 V_2\)
— kPa·m³
Plot
The red dot marks the current final state. Drag it along the curve, or use the inputs above to change the final state.