HVAC Formulas Reference

Complete collection of HVAC formulas for service techs and installers. From air-side heat and superheat to duct sizing and the electrical math you use in the field.

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Air-Side Formulas

The core heat-transfer and airflow relationships for the air side of any system.

Qs = 1.08 × CFM × ΔT

Sensible heat (BTU/hr)

Qt = 4.5 × CFM × Δh

Total heat, enthalpy-based (BTU/hr)

Ql = 0.68 × CFM × ΔW

Latent heat (BTU/hr)

SHR = Qs / Qt

Sensible heat ratio (~0.75 typical AC)

CFM = BTU / (1.08 × ΔT)

Airflow from sensible heat

CFM = FPM × Area(ft²)

Airflow from velocity

V = 4005 × √VP

Velocity (FPM) from velocity pressure

Tons = BTU/hr / 12,000

Capacity in tons (1 ton = 12,000 BTU/hr)

Where: CFM = airflow (cubic feet/min), ΔT = dry-bulb temperature difference (°F), Δh = enthalpy difference (BTU/lb), ΔW = humidity ratio difference (grains/lb), VP = velocity pressure (in. w.c.). The 1.08 constant = 0.075 lb/ft³ × 60 min/hr × 0.24 BTU/lb·°F.

Refrigerant-Side Formulas

Charge verification and compressor health, read straight off your gauges and pipe clamps.

Superheat

SH = Suction Line Temp − Evap Sat Temp

TXV target 8–14°F. Below 5°F = flooding/overcharge risk; above 20°F = starved/undercharged.

Subcooling

SC = Cond Sat Temp − Liquid Line Temp

Target 10–18°F (verify nameplate). Low SC = undercharge; high SC = overcharge.

Target Superheat (Fixed Orifice)

Target SH = 3(WB) + (80 − ODB) − 1

Carrier method. WB = indoor wet bulb, ODB = outdoor dry bulb (°F). Varies by manufacturer.

Compression Ratio

CR = (Disch psig + 14.7) / (Suction psig + 14.7)

Uses absolute pressures. Healthy is typically ~2.5:1 to 3.5:1.

Saturation temps come off the PT chart for the specific refrigerant (R-410A, R-454B, R-22, R-32, R-407C) at your measured suction and liquid/discharge pressures.

Hydronic (Water-Side) Formulas

Heat transfer for chilled- and hot-water systems on the commercial side.

Water Heat Transfer

Q = 500 × GPM × ΔT

BTU/hr. 500 = 8.33 lb/gal × 60 min/hr × 1.0 BTU/lb·°F.

GPM per Ton

GPM = (12,000 × Tons) / (500 × ΔT)

At a 10°F ΔT this works out to ≈ 2.4 GPM/ton.

Where: GPM = flow rate (gallons/min), ΔT = supply-to-return water temperature difference (°F).

Duct Sizing Formulas

Friction rate, area, and velocity for laying out supply and return duct.

Friction Rate

FR = (ASP / TEL) × 100

iwc per 100 ft. ASP = available static pressure, TEL = total equivalent length.

Round Duct Area

Area = π × (D/2)²

Square inches. D = duct diameter (in).

Equivalent Round

De = 1.3 × (a×b)^0.625 / (a+b)^0.25

a, b = rectangular duct dimensions (in).

Velocity

V = (CFM × 144) / Area

FPM. Area in square inches. Target ~700–900 FPM supply, ~600–700 return.

Electrical Formulas (HVAC-Related)

The electrical math you actually use on compressors, motors, and capacitors.

Power (Single-Phase)

W = V × A × PF

PF = power factor (typically 0.85–0.95).

Power (Three-Phase)

W = V × A × PF × 1.732

1.732 = √3 for three-phase equipment.

Ohm's Law

V = I × R

I = current (amps), R = resistance (ohms).

Capacitor Test

Compare measured MFD to rated

Replace if measured microfarads are more than 6% off the rated value.

Always size wire and breaker from the nameplate — MCA (Minimum Circuit Ampacity) for wire gauge and MOCP (Maximum Overcurrent Protection) for breaker. Compressor inrush is the exception to normal sizing rules.

Field Target Ranges

The benchmarks techs check against every service call.

Cooling Delta-T (supply vs return)

14–22°F

Concern below 14°F or above 22°F

Superheat (TXV system)

8–14°F

Below 5°F flooding, above 20°F starved

Subcooling

10–18°F

Varies by manufacturer — check nameplate

Total External Static Pressure

≤ 0.50 iwc

Concern above 0.80 iwc

Airflow Rule of Thumb

~400 CFM/ton

Standard airflow target for cooling

Condenser Split (ambient vs cond sat)

15–25°F

Above 30°F: dirty condenser or overcharge

Estimates for reference only — always verify against the manufacturer's specs, the equipment nameplate, and local code. A full Manual J is required for real load sizing.

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