GPM to BTU Calculator
Find the heat a water flow carries from its flow rate and temperature difference — or the flow a heating or chilled-water load needs — with the hydronic 500 × GPM × ΔT equation.
Method reviewed October 26, 2026. Version 1.0.0. How it works
Result
- Heat transfer rate
- 100,000BTU/h
- Equivalent cooling capacity
- 8.33tons
10 gpm at 20 °F ΔT carries 100,000 BTU/h (8.33 tons).
- Water gets lighter as it heats; at typical boiler temperatures the true factor is a few percent below 500. Use “Other fluid” with properties at your temperature for more precision.
- Flow rate
- 10gpm
- Temperature difference
- 20°F
- Factor used
- 500
Show the working
- Factor for water = 8.33 lb/gal × 60 min/h × 1 BTU/lb·°F ≈ 500500
- Q = factor × GPM × ΔT500 × 10 × 20 = 100,000 BTU/h
Where the 500 comes from
A US gallon of water weighs about 8.33 lb, there are 60 minutes in an hour, and it takes 1 BTU to warm a pound of water by 1 °F. Multiplying gives 8.33 × 60 × 1 ≈ 500, so:
- Heat (BTU/h) = 500 × GPM × ΔT
- Chilled water: tons = GPM × ΔT ÷ 24, because 500 ÷ 12,000 = 1/24.
For glycol and other fluids, multiply 500 by the fluid’s specific gravity and specific heat from the supplier’s data at your operating temperature.
Using it in design
A larger temperature difference moves the same heat with less flow, which means smaller pipes and pumps but a wider swing at the terminal units. Equipment and terminal manufacturers state the temperature differences their products are designed for; size flow to match.
Worked example
These are the example values the calculator opens with, and the result the engine calculates for them.
Inputs
- Calculate
- Heat from flow and ΔT
- Flow rate
- 10 gpm
- Temperature difference (supply − return)
- 20 °F
- Fluid
- Water (factor 500)
Result
- Heat transfer rate
- 100,000 BTU/h
- Flow rate
- 10 gpm
- Temperature difference
- 20 °F
- Equivalent cooling capacity
- 8.33 tons
- Factor used
- 500
10 gpm at 20 °F ΔT carries 100,000 BTU/h (8.33 tons).
Assumptions
- 500 = 8.33 lb per US gallon (water near 60 °F) × 60 min/h × specific heat 1 BTU/(lb·°F), rounded. Other fluids: 500 × specific gravity × specific heat.
Limitations
- Glycol and other fluid properties vary with concentration and temperature; enter values from the fluid supplier, not a generic table.
Frequently asked questions
How many GPM do I need per ton of chilled water?
At a 10 °F temperature difference, 2.4 GPM per ton; at 12 °F, 2 GPM per ton. In general GPM per ton = 24 ÷ ΔT.
Is 500 exact for hot water?
No. Water is less dense when hot, so at typical boiler temperatures the true factor is a few percent lower. Use the “other fluid” option with properties at your temperature for more precision.
What about glycol?
Glycol mixtures have a lower specific heat than water, so they carry less heat per gallon per degree. Use the supplier’s specific gravity and specific heat for your concentration.
Sources
- NIST Guide to the SI (SP 811), Appendix B.9 — conversion factors — National Institute of Standards and Technology. 1 ton of refrigeration = 12,000 BTU/h; 1 BTU/h = 0.2930711 W; 1 atm = 101.325 kPa.
- Water Density — U.S. Geological Survey Water Science School. Water’s density is roughly 1 g/mL (about 62.4 lb/ft³) and decreases as it warms; the page tabulates density by temperature.
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