GallonGaugeGallons, first-hour rating and GPM — the three numbers that decide it.

What size tankless water heater for a shower and a sink in the northern US?

a shower and a kitchen sink in the northern US
120k BTU
3.5 GPM across a 60°F rise needs 105,000 BTU/hr delivered
a shower and a kitchen sink in the northern US105,000 BTU/hrHeat needed60 °FTemperature rise
Heat needed3.5 GPM × 500 × 60°F105,000BTU/hr
Unit sizenameplate input, at about 95% combustion efficiency120k BTU
Simultaneous flowthe ordinary weekday morning3.5GPM
Temperature rise105°F at the tap from 45°F incoming60°F
Same unit in the southwarmer incoming water, so more flow from the same box5.7GPM
Same unit in the northcolder incoming water — the same unit delivers less3.8GPM

Notes

  • **A tankless heater has no capacity, only a curve.** a shower and a kitchen sink means 3.5 GPM, and lifting that from 45°F to 105°F takes **105,000 BTU/hr** delivered to the water. Ask for GPM at a stated rise, never for "how many bathrooms".
  • **Geography changes the answer more than the house does.** The same unit gives **5.7 GPM** in the south and **3.8 GPM** in the north. The box did not change — the incoming water did. Marketing that promises "3 bathrooms" is quoting the southern number.
  • **The cold-water sandwich is real and it is not a fault.** A tankless fires when flow starts, so there is a slug of cooled water between one draw and the next. Low-flow trickles below the minimum activation rate — a bathroom tap barely open — may not fire it at all.
  • **Gas line and venting are usually the real cost.** A 120k BTU unit often needs a larger gas line than the old tank had, plus dedicated stainless or PVC venting. On a retrofit those two lines regularly exceed the price of the heater itself, and they are what turns a cheap quote into an expensive one.
  • **Hard water shortens tankless life more than anything else.** The heat exchanger scales, and scale is what kills them. Annual descaling, or a softener ahead of it, is not optional above about 7 gpg.

a shower and a sink in the northern US

3.5 GPM across a 60°F rise — that is 105,000 BTU/hr delivered to the water.

A tankless heater has no capacity, only a curve

A tank is chosen by gallons. A tankless is chosen by GPM at a stated temperature rise, and the same box gives very different answers in different places.

Ask a supplier for GPM at a rise. Never for "how many bathrooms".

Geography changes it more than the house does

The same unit delivers 5.7 GPM in the south and 3.8 GPM in the north.

The box did not change — the incoming water did. Marketing that promises three bathrooms is quoting the southern number.

The cold-water sandwich is not a fault

A tankless fires when flow starts, so there is a slug of cooled water between one draw and the next.

And a trickle below the minimum activation rate — a bathroom tap barely open — may not fire it at all.

Gas line and venting are usually the real cost

These units often need a larger gas line than the old tank had, plus dedicated stainless or PVC venting.

On a retrofit those two lines regularly cost more than the heater. They are what turns a cheap quote into an expensive one.

Hard water is what kills them

The heat exchanger scales, and scale is what ends its life. Annual descaling, or a softener ahead of it, stops being optional above about 7 gpg.

Nearby sizes