GPM / Tons / ΔT Calculator

Hydronic capacity — solve for GPM, tons, or temperature difference
Solve For
GPM
gal/min
BTU/hr
BTU/hr
Formula
Tons = GPM × ΔT × 500 × Cf / 12,000

Where:
 · GPM = flow rate in gallons per minute
 · ΔT = supply/return temperature difference (°F)
 · 500 = 8.34 lb/gal × 60 min/hr × 1 BTU/lb·°F
 · Cf = fluid correction factor (1.0 for water)
 · 12,000 = BTU/hr per ton

Typical ΔT: CHW = 10–12°F  |  HHW = 20–40°F  |  Condenser = 10°F
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About This Calculator

This hydronic capacity calculator ties together flow rate, cooling or heating load, and the supply-to-return temperature difference (ΔT) using the standard water-side heat equation. Pick which quantity to solve for — GPM, tons, or ΔT — enter the other two, choose the fluid, and the tool returns the answer along with the equivalent load in BTU/hr.

It is the quick check engineers use to size pumps and coils: how much flow a chiller or boiler needs, how many tons a measured flow and ΔT represent, or what temperature difference a given flow will produce. A fluid selector applies a correction factor so glycol systems return slightly higher flow for the same load.

Formula & Method
LoadQ (BTU/hr) = 500 · Cf · GPM · ΔT
TonsTons = GPM · ΔT · 500 · Cf ÷ 12,000
GPMGPM = Tons × 12,000 ÷ (500 · Cf · ΔT)
ΔTΔT = Tons × 12,000 ÷ (500 · Cf · GPM)

This is the standard hydronic heat-transfer relation (ASHRAE Fundamentals). The constant 500 = 60 min/hr × 8.34 lb/gal × 1.0 BTU/lb·°F for water; 12,000 BTU/hr = 1 ton of refrigeration. The fluid correction factor Cf adjusts the 500 for the lower specific heat of glycol (≈0.97 for 25% ethylene glycol, ≈0.93 for 50%), so antifreeze systems require slightly more flow for the same load.

Frequently Asked Questions
What is the 500 factor in the GPM, tons, and Delta-T formula?
The 500 is the water-side heat constant. It comes from 60 minutes per hour times 8.34 pounds per gallon times 1.0 BTU per pound per degree Fahrenheit, which together convert GPM and a temperature difference into BTU per hour. So heat flow in BTU per hour equals 500 times GPM times Delta-T for plain water.
How do I convert tons to GPM for chilled water?
Multiply tons by 12,000 to get BTU per hour, then divide by 500 times the Delta-T to get GPM. At the common chilled water design of a 10 degree Fahrenheit rise, one ton needs about 2.4 GPM. This tool does the same math and lets you solve for GPM, tons, or Delta-T from the other two values.
Why does glycol change the result?
Glycol antifreeze has a lower specific heat than water, so it carries less heat per gallon for the same temperature change. This calculator applies a fluid correction factor to the 500 constant: about 0.97 for 25 percent ethylene glycol and 0.93 for 50 percent. A glycol system therefore needs slightly more flow than a water system for the same load.
What Delta-T should I assume?
Typical design temperature differences are about 10 to 12 degrees Fahrenheit for chilled water, 20 to 40 degrees Fahrenheit for hot water heating, and about 10 degrees Fahrenheit for condenser water. A larger Delta-T reduces the required flow and pump energy but may require more coil surface, so it is a design trade-off.
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Results are design estimates for preliminary sizing. Verify final designs against applicable codes and standards — engineering judgment and a licensed professional engineer’s review are required.