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Psychrometric Load — Sensible & Latent

HVAC cooling/heating load from air flow and process state changes. Sensible heat (dry-bulb temperature change), latent heat (humidity change), and total/SHR. Per ASHRAE Fundamentals ch. 1 simplified-air properties.

cfm
°F
°F
gr/lb
gr/lb
Btu/hr
Btu/hr
Btu/hr
tons (US: 12,000 Btu/hr each)
— (Q_s / Q_t; cooling typical 0.7–0.85)

Defaults: 2000 cfm cooling — 78°F at 65 gr/lb (~50% RH at 78°F) entering, 55°F at 55 gr/lb leaving — typical commercial cooling coil. Latent component large in humid summer.

Sensible heat (US, standard sea-level air):
$$ Q_s = 1.08 \, Q \, (T_1 - T_2) \quad (Q\text{ in cfm}, T\text{ in °F}) $$
Latent heat (US):
$$ Q_L = 0.68 \, Q \, (W_1 - W_2) \quad (W\text{ in gr/lb}) $$
SI:
$$ Q_s = 1.23 \, Q \, \Delta T, \quad Q_L = 3010 \, Q \, \Delta W \quad (Q\text{ in L/s}) $$
Qs sensible cooling/heating load (changes dry-bulb temperature) · QL latent load (condensation/evaporation, changes humidity) · Qt = Qs + QL total load · SHR = Qs / Qt sensible heat ratio.

The 1.08 and 0.68 constants

1.08 = 60 min/hr × ρair × cp,air = 60 × 0.075 lb/ft³ × 0.24 Btu/(lb·°F) = 1.08 Btu·min / (cfm·°F·hr). It assumes standard air at 70°F and 14.7 psi (sea level).

0.68 = 60 × 0.075 × (1061 + 0.444×T) Btu/lb_water × (1 lb / 7000 gr) ≈ 0.68 (at typical room T). The 1061 Btu/lb is the latent heat of vaporization at 0°F reference.

Both constants are altitude-sensitive. At 5000 ft elevation, ρ_air drops 17%, so the constants drop to 0.90 and 0.56. Specify altitude correction for design at any elevation > 1000 ft.

SHR — what cooling coil shape to expect

SHR (sensible heat ratio) shapes the cooling coil. SHR ≈ 1.0 means dry cooling — the coil temperature stays above dew point. SHR ≈ 0.75 (typical commercial summer) means significant moisture removal, condensate drainage required. SHR < 0.6 (humid climate, dehumidification) requires special coil arrangement (pre-cool, post-reheat) to hit the leaving condition.

Sensible vs. latent — they aren't independent

You can't independently change sensible and latent load on a single cooling coil. The cooling process moves along a tangent to the saturation curve from entering condition to apparatus dew point (ADP). The "bypass factor" determines how close the leaving condition gets to ADP. For high-latent loads, you need either lower coil temperature (sub-cooling) or a separate dehumidification path (DOAS, desiccant).

Heating loads are usually all sensible

For heating-only HVAC (forced-air furnace, electric resistance, hot-water coil), the latent load is zero — humidity ratio doesn't change. Q_t = Q_s. Heating loads are simpler than cooling because there's no moisture removal/addition.

Tons-to-cfm rule of thumb

At typical comfort cooling conditions (78°F → 55°F, 50% RH inlet), 1 ton ≈ 400 cfm of supply air. This is a sanity-check constant: if your cfm/ton is far from 400 (say 250 or 600), recheck your supply temperature and humidity assumptions. Very dry climates (10% RH) or extreme humidity (humid coastal) can shift this 30%.

Reference: ASHRAE Handbook Fundamentals (2021), ch. 1 (Psychrometrics). McQuiston, F.C., et al. (2005). Heating, Ventilating, and Air Conditioning, 6th ed., Wiley.

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