Load, capacity and system sizing

Water Heater Size Calculator

Water heaters are sold by tank size and chosen by household size, and neither is the number that decides whether you run out. First hour rating is: usable tank volume plus how much the burner can reheat in an hour. A 40 gallon heater with a strong burner routinely beats a 50 gallon one with a weak burner. This calculator builds your peak hour from actual fixture use and compares it against the rating your heater can genuinely deliver.

This heater covers your peak hour
90 gal first hour rating Against a peak demand of 42 gal — 48 gal of margin
Peak hour demand
42 gallons 2 showers · 2 washes · 1 dishwasher
Usable tank volume
35 gallons About 70% of the 50 gal tank. Incoming cold water mixes in as you draw, so you never get the full nameplate volume at temperature.
Recovery rate
55 gal/hr 32,000 BTU/hr delivered ÷ (8.33 × 70 °F rise)
Why not just buy by gallons
50 gal tank → 90 gal FHR First hour rating is tank plus recovery. A 40 gallon heater with a strong burner can beat a 50 gallon one with a weak burner — the number on the front of the box is not the one that matters.
40 gal 50k BTU 28 usable + 50 recovery 78 50 gal 30k BTU 35 usable + 30 recovery 65 Bigger tank, smaller output. The gallons on the box are not the number that matters.
First hour rating is usable tank plus one hour of recovery — which is why a smaller tank can win

Why tank size is the wrong number to shop by

Water heaters are displayed by gallons and chosen by household size, and neither predicts whether you run out of hot water.

What a heater delivers in the hour that matters is its usable tank volume plus whatever the burner can reheat during that hour. Those two components trade against each other, and manufacturers combine them into the first hour rating printed on the yellow EnergyGuide label.

The consequence is that tank size alone can mislead badly. A 40 gallon gas heater with a 50,000 BTU burner recovers around 50 gallons an hour, giving a first hour rating near 78. A 50 gallon unit with a 30,000 BTU burner recovers 30, giving 65 — smaller output from a larger tank.

Electric heaters compress this range because element wattage varies less. A 4,500 watt element recovers roughly 20 gallons an hour against a 75 degree rise, so electric heaters lean much harder on tank volume and that is why they are commonly sold in larger sizes.

Shop by first hour rating. It is on the label precisely because tank size is not sufficient.

Where the 70 percent comes from

A tank never delivers its full volume at usable temperature, and the reason is simple physics rather than a manufacturing shortfall.

As hot water leaves the top, cold water enters the bottom to replace it. The two do not stay neatly separated — there is a mixing zone at the boundary that grows as the draw continues. Long before the tank is empty, the water leaving the top has dropped below useful temperature.

Seventy percent is the working assumption for a conventional tank. Tall narrow tanks stratify slightly better than short wide ones, and a slow draw mixes less than a fast one, so the real figure varies between about 60 and 80 percent.

A thermostatic mixing valve changes this arithmetic in your favour. Store at 140 °F and mix down to 120 at the outlet, and the tank effectively holds more usable hot water because each stored gallon serves more than a gallon of delivered water. It also removes the scald risk that storing at 140 would otherwise create.

That combination — hotter storage plus a mixing valve — is the cheapest way to increase effective capacity without replacing anything.

Tank versus tankless

Tankless heaters have no first hour rating because they have no tank, and their failure mode is the opposite of a tank heater’s.

A tank heater has a large reserve and a slow refill. It handles a burst of simultaneous demand well and runs out if that demand continues. A tankless heater has no reserve and infinite duration — it will supply one shower forever and struggle when a second one starts.

The tankless specification that matters is flow rate at a given temperature rise, in gallons per minute. A unit rated at 5 GPM at a 45 degree rise delivers considerably less in a cold climate where the rise needed is 70 degrees. Incoming water temperature is therefore the single biggest factor in tankless sizing, far more than in tank sizing.

For a household whose problem is two showers at once, a tankless unit sized for the combined flow solves it. For a household whose problem is a long bath followed by laundry, a tank with a good recovery rate is usually cheaper.

Electric tankless deserves a specific warning: whole-house units commonly need 100 to 150 amps of dedicated service, which is frequently more than the existing panel can provide and turns a heater replacement into a service upgrade.

What this is based on

  • First hour rating = usable tank volume + one hour of recovery
  • Recovery rate = delivered BTU/hr ÷ (8.33 BTU per gallon per °F × temperature rise)
  • Typical hot water draw volumes per fixture use

An estimate for planning. Draw volumes vary widely with fixture flow rates and habits, and manufacturer first hour ratings are measured under a standard test procedure that may differ from your use. Compare against the EnergyGuide label of any specific model.

Frequently asked questions

What is first hour rating?

The gallons of hot water a heater can deliver in one hour starting from fully heated. It combines usable tank volume with recovery rate, which is why it is the figure the Department of Energy requires on the yellow EnergyGuide label. Two heaters with the same tank size can have very different ratings.

Why can I only use 70% of the tank?

As you draw hot water off the top, cold water enters the bottom to replace it and mixes at the boundary. Long before the tank is empty the outlet temperature has dropped below useful. Seventy percent is the usual working assumption.

Should I set the thermostat to 120 or 140 °F?

Most guidance says 120 °F: hot enough for household use, and it takes minutes rather than seconds to scald. Some recommend 140 °F for Legionella control, in which case a thermostatic mixing valve at the outlet gives both safety and effective extra capacity.

How does a tankless heater compare?

It has no first hour rating because it has no tank — its limit is flow rate at a given temperature rise, in gallons per minute. That makes it excellent for long single draws and poor at simultaneous ones, the opposite of a tank heater’s failure mode.

Does incoming water temperature matter much?

A great deal. Recovery rate is inversely proportional to temperature rise, so a heater in a cold northern basement with 40 °F incoming water recovers noticeably slower than the same unit in a warm climate. It is why the same model is sized differently by region.