Size Matters: Get it Right, Do the Math
Below, you’ll find some guidelines for determining the right-size water heater for common situations. But really, there are no common situations, and determining the most appropriate size of tank or tankless water heater depends as much on personal habits as it does on flow rates. so we also included an example that shows why a small family ended up with cold showers.
Mom, Dad, and Junior have a 50-gal., gas-fired tank-style water heater with an operating efficiency of 82% and a 50,000-Btu input. Occasionally, they run out of hot water and want to know why. I explained that it requires 666.4 Btu to raise 1 gallon of water from 40°F to 120°F (the lowest common temperature for incoming water to the average temperature setting for a water heater). But before I get to the math, let’s look at the family’s hot-water usage habits.
Every morning, mom showers for eight minutes; Dad follows for 12 minutes; and Junior begins a 15-minute shower when Dad is midway through his. Dad then shaves with the faucet running hot water for three minutes during Junior’s shower. Let’s assume that showering consumes 2-1/2 gal. per minute (gpm), at 110°F, for a total of 35 minutes. That’s a 70°F temperature rise, or 1475.75 Btu per minute (88,545 Btu per hour). Divide by 666.4, and we determine that 2.19 gpm will need to come from the water heater for each shower. add 4-1/2 gal. for shaving, and the family needs a little over 81 gal. of hot water in 38 minutes.
Why do they occasionally run out of hot water? Their tank has 50 gal. of hot water on standby, but as soon as they start using hot water, they lose 5 gal. as incoming cold water mixes into the tank. When operating, their water heater can produce 1.25 gal. per minute: 50,000 Btu input x 0.82 operating efficiency = 41,000 net energy input ÷ 666.4 = 61.5 gph or 1.25 gpm. So they start with 45 gal stored, and the heater produces 471/2 gal. during their 38-minute showering time. That’s a total of 921/2 gal. available for their morning routine. If anyone stays in the shower for a few extra minutes or turns on the dishwasher, their hot water turns cold. To keep from running out of hot water with another tank-style water heater, it needs to have a larger tank capacity, a higher recovery rate, or both.
To size a tankless water heater for the family, we start with the peak per-minute hot-water demand. In the case of mom, Dad, and Junior, two overlapping showers consume 4.38 gpm of hot water: 4.38 x 666.4 Btu per gallon = 2918.83 Btu per minute or 175,130 Btu per hour. That’s net Btu. We divide by the operating efficiency (0.82) to get 213,573 minimum gross input to meet peak demand. Dad’s hot-water use while shaving can be ignored unless there are other concurrent uses, such as dish washing and/or clothes washing.
1-bath home for 1 or 2 people: a 30-gal. tank might work, but a 40-gal. tank-style water heater is less expensive to purchase. A tankless unit should have a 140,000-Btu input if the energy factor is 0.82 or greater.
2-bath home for 2 to 3 people: A 40- to 50-gal. tank should be sufficient, depending on lifestyle. Tankless models should have a 190,000-Btu input if the energy factor is 0.82 or greater.
3-bath home for 3 to 5 people: One 80-gal. tank-style water heater or two 50-gal. tanks with one dedicated to the master suite are the best option. Twin tankless water heaters located close to points of use might be the best value (one large tankless model for two baths, and one smaller unit for the third bath). However, one large tankless unit could also be sufficient (minimum 190,000-Btu input, if flow rates remain within boundaries).
Home with 4+ baths: A large-volume single tank (120 gal. or larger) is most likely needed to meet peak demand. Separate smaller water heaters assigned to individual or small groups of bathrooms, or a bank of tank or tankless water heaters, might be required. This would be treated more like a commercial application than a residential setting.