What this calculator does
The tool converts temperature and relative humidity into humidity ratio, applies a room moisture balance during the shower, then models exponential moisture removal by the exhaust fan. An optional drying allowance accounts approximately for wet towels, grout, glass and other surfaces that keep releasing moisture after the shower ends.
How to use this bathroom fan calculator
Enter room dimensions and temperature. The calculator converts them into room air volume.
Use measured post-shower RH for the most practical result, or estimate moisture when no hygrometer is available.
Use measured airflow when possible. Otherwise reduce the fan label rating for duct bends, grilles and restricted makeup air.
Read the air-only time, recommended after-run and whether the selected cold surface may collect condensation.
Best practical method: place a humidity meter away from direct spray, run the fan during the shower, and use “Measured post-shower RH” after the reading stabilizes.
Inputs
Bathroom examples
Atmospheric pressure has a small effect on psychrometric results at normal elevations.
Humidity ratio: W = 0.621945 pv / (P − pv)
Moisture balance: dW/dt = G/mda + (Q/V)(Win − W)
Fan-only decay: W(t)=Win+(Wpost−Win)e−(Q/V)t
- Room air is perfectly mixed and held at the entered bathroom temperature.
- Fan airflow is constant and replacement air enters with the selected temperature and RH.
- Condensation is reported when the estimated airborne moisture exceeds saturation.
- The wet-surface allowance is a user-selected practical addition, not a detailed evaporation model.
Results
Bathroom humidity timeline
The chart shows the shower phase, the modelled fan decay and the selected RH target. The added drying allowance keeps the fan running beyond the ideal air-only target time.
Scroll the plot horizontally for readable labels.
Worked example: a typical small bathroom
12 m³ room, 80 m³/h delivered airflow, 10-minute shower and 60% target RH.
The air-only decay takes about five minutes; adding ten minutes for wet surfaces gives roughly a 15-minute after-run.
If mirrors remain wet or RH stays high, verify duct discharge, clean the grille and measure actual airflow.
What to do with the result
Removing moisture at the source usually lowers the peak humidity and shortens the required after-run.
Use the calculated air-only time plus a practical allowance for wet surfaces. A timer or humidity control avoids relying on memory.
A dirty grille, long flexible duct, tight door or blocked exterior hood can reduce delivered airflow well below the fan label rating.
Do not discharge bathroom moisture into an attic, ceiling void, crawlspace or another indoor room.
Interpretation and limitations
A high calculated runtime can indicate low delivered airflow, humid replacement air, a very small bathroom, or a low target RH. If the incoming-air humidity ratio is already above the target condition, exhaust ventilation alone cannot reach the selected target.
- Home Ventilating Institute bathroom ventilation guidance: approximately 1 cfm/ft² for bathrooms up to 100 ft², with a 50 cfm minimum.
- US DOE ventilation guide: proper fan sizing and delay-off controls help manage bathroom moisture.
- EnergyPlus Psychrometric Services: humidity-ratio, relative-humidity and moist-air property relationships.
Frequently Asked Questions
Practical questions about fan runtime, humidity, airflow and condensation risk.