How long does a water heater take to heat up? (recovery and reheat)
Recovery is not a spec you have to trust — it is 8.33 BTU per gallon per degree, run through your burner’s input. That is why a gas tank refills its hot water in a fraction of the time a 4,500-watt element needs.
“How long until I have hot water again” has an exact answer, and it explains one of the biggest practical differences between gas and electric tanks. The heat needed to reheat a tank is fixed by physics; how fast you deliver it depends entirely on the burner or element’s input. Two quantities capture it: the recovery rate (gallons per hour it can reheat) and the reheat time (hours to bring a drained tank back to temperature).
The two formulas
recovery_gph = (input_BTU_hr × efficiency) ÷ (8.33 × ΔT), and reheat_hours = (gallons × 8.33 × ΔT) ÷ (input_BTU_hr × efficiency). For an electric element, convert watts to BTU/hr first: input_BTU_hr = kW × 3412. Everything hinges on the input — a gas burner pours in tens of thousands of BTU/hr, while a 4,500-watt element manages about 15,354.
Worked example: gas vs electric
Gas (40,000 BTU/hr, efficiency 0.80, ΔT 70): recovery = (40,000 × 0.80) ÷ (8.33 × 70) = 32,000 ÷ 583.1 ≈ 55 gallons/hour. That is why a modest gas 40 keeps up with back-to-back showers.
Electric (4,500 W = 15,354 BTU/hr, efficiency 0.98, ΔT 70): recovery = (15,354 × 0.98) ÷ 583.1 ≈ 26 gallons/hour — less than half the gas rate. Reheating a full 50-gallon tank from cold: reheat_hours = (50 × 8.33 × 70) ÷ (15,354 × 0.98) = 29,155 ÷ 15,047 ≈ 1.94 hours, about 1 hour 56 minutes. A gas 50 does the same job in roughly 45 minutes. Run yours in the recovery-rate & reheat-time calculator.
Why this decides tank size, not just patience
Recovery feeds directly into First-Hour Rating: FHR ≈ 0.70 × gallons + recovery. A high recovery rate lets a smaller tank deliver a big first hour; a low recovery rate forces you to buy storage instead. It is the mechanism behind the rule of thumb that electric-resistance households size up a tank step: with only ~26 gph of recovery, they must lean on stored gallons to cover a peak that a gas household covers with recovery. See the first-hour-rating calculator.
Edge cases
- Cold inlet lengthens everything. A winter inlet of 40 °F instead of 50 raises ΔT from 70 to 80 and stretches reheat time proportionally — recovery is worst exactly when demand is highest.
- Element staging. A residential electric tank usually fires one 4,500-watt element at a time (upper, then lower), not both — so do not assume 9,000 watts of recovery.
- Sediment slows it. A scaled tank insulates the burner from the water; an annual flush protects recovery as much as lifespan. See maintenance & flush schedule.
- Tankless has no reheat. A tankless never “heats up” a tank — it is limited by flow, not recovery, which is a different sizing question entirely.
“We keep running out”: recovery or storage?
The most common real-world complaint — the last shower goes cold — is a recovery-versus-storage question in disguise, and the formula tells you which to fix. If the tank delivers its full stored volume and then struggles, you are storage-limited: the peak hour is simply bigger than the tank holds, and the answer is more gallons or a higher First-Hour Rating. If instead you run cold well before you would expect to empty the tank, you are recovery-limited — the burner or element cannot keep up with a long continuous draw — and the fix is more input (a gas burner, a higher-BTU unit, or a heat pump’s hybrid boost) rather than a bigger shell. Because FHR = 0.70 × gallons + recovery, you can trade one for the other: a household stuck with slow electric recovery buys its way out with storage, while a space-constrained home leans on a fast gas burner to keep a small tank punching above its size.
Two field checks separate the causes. First, time a continuous draw: open a hot tap at a steady flow and note how many minutes until it cools — a short time on a supposedly large tank points at storage (or a broken dip tube mixing cold in), a long slow fade points at recovery. Second, on an electric tank, “plenty at first, then quickly cold” classically means a dead lower element, so you are living on the upper element’s small zone — a cheap element replacement, not a sizing problem at all. Rule the repair out before you buy a bigger heater; recovery math only applies to a healthy unit.
What to check
The recovery figure on a spec sheet is quoted at a specific rise (often 90 °F), so normalize it to your own ΔT before comparing units. If your complaint is “we run out and wait,” the fix is either more recovery (a gas burner or higher input) or more storage — the formula tells you which is cheaper for your peak. It is straight physics on your own numbers, so it stays true regardless of brand or year. And if the arithmetic says you need both faster recovery and more storage, that is the honest nudge toward a different fuel or a heat-pump hybrid, whose electric-boost mode adds recovery on demand — weigh the running cost of that choice in the heat-pump savings tool before you buy on recovery alone.