TryBuildCalc

Tankless Water Heater BTU Calculator (Cold Climate, High Temperature Rise)

Calculate required BTU/hr for a tankless water heater in a cold climate.

Water Heater Type

ℹ️Storage Tank is sized by First Hour Rating; Tankless is sized by simultaneous flow rate and BTU/hr input.

ℹ️Electric tankless units show required kW and approximate breaker amperage. Heat Pump isn't a standard tankless product, so it's only offered for Storage Tank.

Required Flow Rate

ℹ️Already know your required flow rate? Enter it directly instead of building a fixture list.

Add the fixtures you expect running at the same time during peak demand.

Fixture 1

Fixture 2

Up to 20 fixture rows total.

Temperature Rise

ℹ️120°F is a widely-recommended default balancing usability against scald risk.

ℹ️Use your coldest expected month's incoming water temperature, not a summer/annual average — the most common tankless sizing mistake.

ℹ️Defaults to 95% for gas (condensing) or 99% for electric (resistance has no combustion/flue loss) when you switch Fuel Type — adjust to your specific model's rated efficiency if known.

🔧 Required input: 294,737 BTU/hr at 7 GPM

Fuel: Natural Gas / Propane

Flow Rate

Shower (x2): 5 GPM

Clothes Washer (x1): 2 GPM

Required GPM: 7 GPM

Temperature Rise & Required Input

Desired Output Temp: 120°F

Groundwater Temp: 40°F

Temperature Rise: 80°F

Efficiency: 95%

Required Input: 294,737 BTU/hr

Model-Size Class

Closest Standard Class: Exceeds standard classes

⚠️ Single unit not feasible — two units likely needed.

This demand exceeds a single standard residential tankless unit's typical capacity.

Two ~199,000 BTU/hr units (installed in parallel) would cover this with a comfortable margin.

Splitting the load across separate zones is another option worth discussing with a licensed professional.

Design Notes

Always size to your coldest-month groundwater temperature, not a summer/annual average — the single most common tankless sizing mistake. A unit rated for a given GPM at a mild rise delivers noticeably less flow at a steeper rise.

This uses the simultaneous-flow-rate method every tankless manufacturer uses, not the WSFU demand-curve method — see this site's Pipe Sizing by Fixture Units calculator for that supply-side sizing approach.

Approximate results for planning only. Verify with a professional.

Tankless Water Heater Sizing294,737 BTU/hr requiredTankless UnitGas / Propane40°F in120°F out7.00 GPM at 80.0°F riseEfficiency: 95%Two units likely neededDiagram simplified for clarity (not to scale)

Looking for the verification checklist, reference tables, or tips and mistakes?See the complete Water Heater Sizing Calculator.

Cold-climate tankless BTU sizing example

This page is set up for 2 showers (2.5 GPM each) and a clothes washer (2.0 GPM) running simultaneously, giving a required flow rate of 7.00 GPM — the same fixture combination as this calculator's engine-verified default example.

At a cold-climate 40°F groundwater temperature and a 120°F desired output, the temperature rise is 80°F — notably higher than a moderate-climate example. At 95% efficiency, that works out to a required input of 294,737 BTU/hr, about a third more than the same fixtures would need in a moderate 60°F groundwater climate (221,053 BTU/hr).

  • 2 showers + clothes washer → 7.00 GPM required.
  • 80°F rise (120°F desired − 40°F cold-climate groundwater).
  • Required input: 294,737 BTU/hr at 95% efficiency — about 33% more than a moderate-climate equivalent.

How Water Heater Sizing Is Calculated

The calculation differs by water heater type and, for storage tanks, by sizing method.

Step 1 — Storage Tank Quick Sizing (Household Size)

Recommended Tank Size = Lookup(Occupants) — e.g. 4 people → 50-75 gallons

A direct lookup from A.O. Smith's published household-size guidance — no entry beyond 5 occupants, so larger households are directed to the Detailed method instead of an extrapolated guess.

Step 2 — Storage Tank Detailed Sizing (Peak-Hour Tally)

Target FHR (gal) = Σ(Fixture Gallons-Per-Use × Quantity)

Sum every fixture used during your busiest hot-water hour (not necessarily simultaneous — cumulative within one hour), then shop for a storage heater with a First Hour Rating at or slightly above the total.

Step 3 — Tankless Flow Rate & BTU/hr

Required GPM = Σ(Fixture GPM × Quantity), or entered directly
Temperature Rise (°F) = Desired Output Temp − Groundwater Temp
Required BTU/hr = (GPM × Rise × 500) ÷ Efficiency

500 comes from water's weight (8.33 lb/gal) × 60 minutes/hour. This sums the actual simultaneous fixtures you expect running at once — a different diversity model than the WSFU demand-curve method used on this site's Pipe Sizing by Fixture Units calculator, since a tankless unit must supply real-time flow rather than a statistically-averaged peak. If you already know your required flow rate, enter it directly instead of building a fixture list.

Step 4 — Tankless Electric Load (kW & Amperage)

kW = BTU/hr ÷ 3412.14
Amps = (kW × 1000) ÷ 240V
Recommended Minimum Breaker = next standard size ≥ (Amps × 1.25)

For an electric fuel type, the same BTU/hr requirement converts to kW using the standard 3412.14 BTU-per-kWh constant, then to amperage at the standard 240V US residential circuit voltage. A 125% continuous-load safety margin (consistent with NEC continuous-load practice) is applied before rounding up to a real, purchasable breaker size — a planning estimate only, not a substitute for a licensed electrician's circuit design.

Step 5 — Model-Size Class & Feasibility

Model Class = smallest standard size ≥ your requirement
Margin % = (Model Class − Requirement) ÷ Requirement × 100

The requirement (target FHR for storage, BTU/hr or kW for tankless) is matched against common off-the-shelf model-size classes to show what to actually shop for, with a margin percentage classified as comfortable (15-50% headroom), borderline (under 15% — consider the next size up), or oversized (over 50% — more capacity than this specific requirement needs). If the requirement exceeds every listed class, this calculator flags a feasibility warning rather than guessing a bigger, unlisted size — a single residential unit may not cover very high demand, and multiple units or a commercial-grade unit should be considered.

Worked Example

This example uses the active inputs above and follows the same steps as the Formula section.

Input Values Used

InputValue
Water Heater TypeTankless (On-Demand)
Fuel TypeNatural Gas / Propane
Required Flow RateShower x2, Clothes Washer x1
Desired Output / Groundwater Temp120°F / 40°F
Efficiency95%

Step 1 — Flow Rate, Temperature Rise & BTU/hr

CalculationSubstitutionResult
Required GPMShower x2 + Clothes Washer x17 GPM
Temperature Rise120°F − 40°F80°F
Required BTU/hr(7 × 80 × 500) ÷ 0.95294,737 BTU/hr
Model-Size ClassNearest standard classExceeds standard classes
⚠️ This demand exceeds a single standard residential tankless unit — consider two units in parallel, a commercial-grade unit, or splitting the load across zones.

Therefore, this fixture combination needs a tankless unit rated for at least 7 GPM at a 80°F rise — 294,737 BTU/hr input.

This does not cover venting, gas/electrical sizing, or code compliance. Cross-check against the Reference Tables in the complete Water Heater Sizing Calculator.

This page keeps things focused on the calculation above. For the full construction guide — verification checklist, reference tables, usage steps, tips, common mistakes, and limitations.See the complete Water Heater Sizing Calculator.

FAQ

Because required BTU/hr scales directly with temperature rise, and a cold climate's 40°F groundwater versus a moderate climate's 60°F groundwater means a 20°F larger rise for the same 120°F target output — a proportional ~33% increase in required heating power (80°F rise ÷ 60°F rise) for identical flow demand.
Yes — this is the single most commonly cited tankless sizing mistake. If this household's groundwater is measured at a mild 65°F in summer instead of 40°F in winter, the calculated requirement would drop to roughly 189,000 BTU/hr — a unit sized to that lower figure would deliver noticeably reduced flow or a lower output temperature the following winter, exactly when hot water demand is often highest.