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Water Heater First Hour Rating (FHR) Calculator

First Hour Rating (FHR) is the official Department of Energy (DOE) benchmark metric showing how many gallons of hot water a storage water heater can produce in an hour of peak morning demand.

Nominal water heater storage capacity (e.g. 40, 50, or 75 gallons).

Gas heaters recover significantly faster than electric resistance heaters.

Input power: BTU/hr for gas (e.g. 40,000 BTU/hr), or Watts for electric (e.g. 4,500 Watts).

Incoming ground municipal water temperature (colder in winter/northern latitudes).

Thermostat setpoint (120°F is recommended by OSHA and DOE to prevent scalding).

Calculated Result
89.9 Gallons

First Hour Rating (FHR)

Usable Tank Water

35.0 Gallons

Hourly Recovery Rate

54.9 GPH

Temperature Rise (ΔT)

70.0 °F

Thermal Energy Input

40,000 BTU/hr

Calculation Breakdown

  1. Temperature Rise Required120°F - 50°F = 70.0°F rise
  2. Usable First-Draw Tank Volume (70%)50 gal × 0.70 = 35.0 gallons
  3. Continuous Hourly Recovery RateRecovery = 54.9 GPH (gallons per hour)
  4. First Hour Rating (FHR)35.0 gal + 54.9 GPH = 89.9 Gallons

First Hour Rating Comparison (50-Gallon Tank, 70°F Rise)

Interactive visualization based on your current inputs

Calculated Value
0.0214262834.5 kW Electric34k BTU Gas40k BTU Gas50k BTU Power Vent

What Is the Water Heater First Hour Rating (FHR) Calculator?

First Hour Rating (FHR) is the standardized performance rating reflecting the number of gallons of hot water a residential water heater can deliver in an hour.

How Does the Water Heater First Hour Rating (FHR) Calculator Work?

The initial usable draw is modeled at 70% of tank volume before cold incoming supply water stratifies and cools the delivery stream.

Hourly recovery GPH is calculated by dividing thermal heat input by the energy needed to raise one gallon of water by ΔT degrees.

Water Heater First Hour Rating (FHR) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

FHR = (Tank Gallons × 0.70) + Recovery (GPH), Recovery = (BTU × Efficiency) ÷ (ΔT × 8.33)

Accounts for 70% usable initial draw before temperature drops plus continuous hot water recovery generated during the 60-minute window.

How to Use the Water Heater First Hour Rating (FHR) Calculator

  1. Enter tank capacity in gallons.
  2. Select fuel source and enter burner BTU or element wattage.
  3. Enter incoming cold water temperature and desired hot setpoint.

Step-by-Step Example Calculation

50-Gallon 40,000 BTU Gas Heater with 70°F Rise

Input Values:

tankVolumeGallons:50
fuelType:gas
inputRating:40000
inletTempF:50
targetTempF:120

Understanding Your Result

Higher FHR accommodates back-to-back morning showers, dishwasher runs, and laundry cycles.

Factors That Affect the Result

  • Winter cold water supply temperatures severely reduce recovery speed compared to summer.

When Should You Use This Calculator?

  • Selecting a new water heater to meet peak hour family hot water demand.

Assumptions & Limitations

  • Assumes steady-state thermal transfer with 80% efficiency for atmospheric gas and 98% for electric resistance.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Conforms to US Department of Energy 10 CFR Part 430 test procedures.

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