MachineCalcs

BTU/GPM Delta T Calculator

Calculate hydronic heat transfer from water or glycol flow and Delta T, then back-solve required GPM or required temperature difference for a target BTU/h load.

HVAC 5 inputs 8 results

Calculator

Measured or planned liquid flow through the coil, heat exchanger or hydronic loop.
gpm
Temperature drop or rise across the coil or heat exchanger. Use the absolute temperature difference.
°F
Heating or cooling load used to back-solve required flow and required Delta T.
Btu/h
Fluid density at the loop operating temperature. Water near room temperature is about 998 kg/m3.
lb/ft³
Fluid heat capacity. Water is about 4.186 kJ/kg-K, or 1.00 Btu/lb-F.
Btu/lb-F

Results

Default result
Edit inputs
Hydronic load(q)
99,930Btu/h
Pass

q = rho * cp * Q * Delta T using the entered fluid properties.

Also computed

Flow for target load(Q_req)Pass10.01gpm

Flow needed to carry the target load at the entered Delta T and fluid properties.

Delta T for target load(Delta T_req)Pass20.01°F

within a common hydronic screening band for many heating and chilled-water loops

Load margin(q - q_t)Pass−74.53Btu/h

entered flow and Delta T are close to or above the target load

Flow margin(Q - Q_req)Pass−0.007459gpm

entered flow is close to or above the back-solved required flow

Mass flow(m_dot)83.29lb/min

500 x GPM x Delta T load(q_500)100,000Btu/h

Hydronic water shortcut: BTU/h = 500 x GPM x Delta F.

Hydronic heat transfer preview: 99,925 BTU per hour, 10.0 GPM required at target loadHydronic loop heat transferFlow x fluid heat capacity x Delta T gives sensible loop load.actual load99,925BTU/hflow for target load10.0 GPMDelta T for target load20.0 Fwater shortcut difference0.1%Target coverageWater shortcut fitScreen only. Final hydronic design still needs coil/boiler/chiller data, pump curves, glycol properties, control valves, balancing and code review.
Method notes 3 notes
  • Main formula: q = rho * cp * Q * Delta T. Flow is converted to m3/s, cp to J/kg-K and the result to W or BTU/h.
  • For standard water in imperial units, the same relation is often approximated as BTU/h = 500 x GPM x Delta F.
  • This is sensible hydronic heat transfer only. Final design still needs coil, boiler/chiller, pump curve, control valve, balancing, glycol, fouling and code/manufacturer checks.

Hydronic BTU/GPM/Delta T math uses q = rho*cp*Q*Delta T. For water in imperial units, that is the familiar shortcut BTU/h = 500*GPM*Delta F. This calculator uses entered fluid density and specific heat, then returns hydronic load, required GPM, required Delta T, flow margin, mass flow and a water-shortcut comparison for hot-water, chilled-water or glycol loop screens.

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How to use this calculator

  1. Enter loop flow. Use measured or planned flow through the coil, heat exchanger or hydronic branch.
  2. Enter Delta T. Use the absolute entering-to-leaving water temperature difference.
  3. Enter target load. Use the BTU/h or kW load you want the loop to carry.
  4. Set fluid properties. Use water defaults or enter density and specific heat for the actual glycol mix and temperature.
  5. Check required flow. Compare entered flow with the back-solved GPM and use the result in pipe, pump and balancing checks.

How it works

The calculator uses the sensible liquid heat-transfer equation: q = rho · cp · Q · Delta T where rho is fluid density, cp is specific heat, Q is volumetric flow and Delta T is the loop temperature rise or drop.

For water in imperial units, the same relationship is often simplified to: BTU/h = 500 · GPM · Delta F The 500 factor is a rounded water-only shortcut, so the calculator also reports the difference between that shortcut and the entered fluid properties.

Required flow is found by rearranging the formula: Q_req = q / (rho · cp · Delta T) and the required temperature difference is Delta T_req = q/(rho·cp·Q).

Carry the required flow into the pipe size by flow calculator before checking head loss in the pipe pressure drop calculator. For a closed heating or chilled-water loop, use pipe volume and expansion tank sizing after the run is defined.

Worked example

Verified against the live calculator

With 10 GPM of water and a 20°F loop Delta T, the water shortcut gives 500 × 10 × 20 = 100,000 BTU/h. The full property calculation with the default water density and specific heat lands essentially at the same value. If the target load is 150,000 BTU/h at the same Delta T, required flow is about 15 GPM.

Frequently asked questions

What is the BTU per GPM Delta T formula?

For water in imperial units, hydronic heat transfer is commonly estimated as BTU/h = 500 x GPM x Delta F. The full form is q = rho x cp x flow x Delta T, which lets you enter density and specific heat for water or glycol mixtures.

How do I calculate GPM from BTU/h and Delta T?

For the water shortcut, GPM = BTU/h / (500 x Delta F). This calculator uses the full fluid-property equation and reports the equivalent required flow.

Can this be used for chilled-water systems?

Yes, as a sensible heat-transfer screen. Enter the absolute temperature difference across the coil or heat exchanger and the correct fluid properties at operating temperature.

Does this size pumps, pipes or coils?

No. It calculates the heat-transfer relationship between flow, Delta T and load. Use the pipe size by flow calculator, pipe pressure drop calculator and manufacturer coil or pump data for final selection.

Method & assumptions

  • Calculates sensible heat transfer only; phase change and latent load are not included.
  • Density and specific heat are user-entered so water, glycol and process fluids can be screened without hidden property tables.
  • The 500 x GPM x Delta F shortcut is shown only as a water approximation.
  • Final hydronic design still needs coil/heat-exchanger data, boiler or chiller performance, pump curves, control valve authority, pipe pressure drop, balancing, glycol concentration, fouling allowance, relief and local code checks.
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