Nitrogen Pressure Test (Temperature-Corrected)
Separates a real leak from thermal swing in a standing nitrogen pressure test.
Example
You enter
- Test pressure at start (psig) 150
- Temperature at start (°F) 70
- Temperature at end (°F) 50
- Gauge pressure at end (psig) 144
- Atmospheric pressure (psi) 14.7
- Leak tolerance (psi) 1
You get
- Temperature-corrected expected 143.8 psig
- Pressure lost to leak -0.219
- Raw gauge change -6.0 psi
Details, formula, and sources
Separates a real leak from the thermal swing in a standing nitrogen pressure test using Gay-Lussac's law (P/T constant at fixed volume, absolute units): the temperature-corrected expected gauge pressure, the pressure lost below it to a leak, and a holds / leak verdict against an editable tolerance.
Gay-Lussac at constant volume: expected_psig = (start_psig + atm) x (T2_R / T1_R) - atm, with T_R = T_F + 459.67. leak_drop_psi = expected_psig - end_psig (positive = lost below the temperature-corrected value = leak); within +/- tolerance is a thermal-only hold.
First-principles Gay-Lussac's law (ideal gas at constant volume, public physics); the standing nitrogen pressure test with temperature correction is standard refrigeration leak-check practice (by name).
The P/T = constant gas law is public physics; the test pressure and tolerance are editable field values.
Estimate. AHJ and licensed professional govern.
Field names used by the API: start_psig, start_temp_F, end_temp_F, end_psig, atm_psi, tolerance_psi, expected_psig, leak_drop_psi, gauge_change_psi
- Absolute units pressures in psia = psig + atmospheric (default 14.7); temperatures in Rankine = F + 459.67first principles
- Constant volume the system volume is fixed over the hold, so P/T is constant (Gay-Lussac)ideal-gas law
- Tolerance default +/-1 psi band on the leak figure (editable); read both temperatures at the same point on the systemfield practice