About this calculator Solves for heat output (BTU/hr), temperature rise (°F), or required airflow (CFM) for a direct-fired or indirect-fired gas heater. Select what you want to solve for, enter the known values, and the calculator returns all four outputs — output BTU/hr, input BTU/hr, temperature rise, and discharge temperature. All calculations use actual air density at the installation altitude, so results are accurate at elevation without manual correction. Input BTU/hr is derived from output BTU/hr divided by the heater's thermal efficiency.
Use when You need to determine heat output (BTU/hr), temperature rise (°F), or required airflow (CFM) for a gas-fired heater at a specific altitude and efficiency.
Formula Output BTU/hr = CFM × Cs × ΔT
Variables
Altitude Installation elevation above sea level in feet — used to correct for reduced air densityEntering Temp Air temperature entering the heater in °FEfficiency Heater thermal efficiency in percent — ratio of heat delivered to the air vs. fuel energy consumedCFM Airflow through the heater in cubic feet per minuteTemperature Rise (ΔT) Temperature increase from entering to discharge in °FDischarge Temp Supply air temperature leaving the heater in °FOutput BTU/hr Heat actually delivered to the airstream in BTU/hr
Altitude (ft)
Site elevation above sea level
Heater Type
Entering Temp (°F)
Temperature of air entering the heater
Efficiency (%)
Ratio of heat delivered to the air vs. fuel energy consumed
Solve For
CFM
Airflow in cubic feet per minute
Discharge Temp (°F)
Leaving air temperature

Output BTU/hr
Input BTU/hr
Discharge Temp (°F)
CFM

How is gas heater output calculated?

Gas heater output uses the sensible heat equation: Output BTU/hr = CFM × Cs × ΔT, where Cs is the Air Sensible Heat Factor and ΔT is the temperature rise (Discharge − Entering). Cs is the product of air density, the specific heat of moist air, and a unit conversion — roughly 1.08 at sea level and ~70°F, but it scales directly with air density. Cold air is denser, so a CFM specified at 0°F entering carries about 15% more mass than the same CFM at 70°F, which is why heat output rises in winter conditions. Air density also decreases with elevation, dropping roughly 3% per 1,000 ft, so a heater at 5,000 ft delivers about 15% less heat at the same CFM and ΔT. The direct-fired vs. indirect-fired toggle reflects CaptiveAire's design convention, not a combustion difference: direct-fired units are draw-through (the blower pulls heated air, so CFM is rated at discharge temperature), and indirect-fired units are blow-through (the blower pushes cold entering air, so CFM is rated at entering temperature). The toggle simply selects which temperature is used for the density correction. Input BTU/hr is fuel energy consumed: Input BTU/hr = Output BTU/hr ÷ Efficiency. Direct-fired units typically run near 92% because all combustion energy stays in the airstream; indirect-fired units run 80–85% because some energy leaves through the flue.