Tankless water heater sizing calculator
From the fixtures that may run at the same time, the incoming water temperature and the set point, this tool gives the hot water flow, the temperature rise and the heat input the heater needs at the efficiency you enter. The result is a number to compare with the manufacturer's flow and temperature rise data. It does not pick a model. It runs in your browser. Nothing you enter is sent anywhere.
The calculator could not start in this browser, so no form is shown. Try a current browser. The equation and sources are on the methodology page.
Result
Show the math
Heat added to flowing water: mass per hour × specific heat × temperature rise.
heat (Btu/h) = K × flow (gpm) × rise (°F)
K = 60 min/h × 8.34 lb/gal × 1.00 Btu/(lb·°F) = 500.4
fuel input (Btu/h) = heat ÷ efficiency
electrical input (kW) = fuel input ÷ 3,412
The 8.34 lb per gallon is the weight of cold water (USGS density table, 50°F), the specific heat of 1.00 Btu per pound per degree and the 3,412 Btu per kWh are the values of the federal water heater test method, 10 CFR 430 Appendix E. The constants and their sources are on the methodology page.
Why the full fixture flow is counted as hot water
A shower is mixed at the valve. With a 120 °F set point, 50 °F incoming water and a 105 °F mix, the hot share of the flow is (105 minus 50) ÷ (120 minus 50) = 0.7857, so a 2.5 gpm shower draws 1.964 gpm of hot water. The heat the heater adds is the same either way: 500.4 × 2.5 × (105 minus 50) = 500.4 × 1.964 × (120 minus 50) = 68,805 Btu/h. This tool does not take a mix temperature. It counts the full fixture flow at the set point rise, which is the larger flow for the manufacturer's rise chart and never understates the heat.
What this tool does not do
- Choose a model or brand. Read the unit's flow at your temperature rise from the manufacturer's chart.
- Gas pipe sizing (see the gas pipe sizing calculator), venting, combustion air, condensate, electrical service and wire size.
- Recirculation, whole house demand by number of occupants, and water pressure or pressure drop at the fixtures.
- Storage, hybrid and solar water heaters, and commercial or multi unit jobs above 30 gpm.
- A mix temperature at the fixture. The full fixture flow is counted at the set point rise.
The equation, the constants with their derivations, the sources of every preset flow and the open questions are on the methodology page. Sources were last checked on October 4, 2026.