Calories (th)/minute to BTU/hour

Running at 10 km/h burns about 8,000–12,000 cal(th)/min (8–12 kcal/min) depending on body weight — that's roughly 560–840 W of total metabolic power. Sprinting can hit 25,000 cal/min briefly. But here's the catch: only 20–25% becomes mechanical work; the rest is heat, which is why you get hot. A 70 kg runner at marathon pace (~12 km/h) burns roughly 12,000 cal/min and must dissipate about 700 W of waste heat through sweating.

Before SI standardisation, the calorie was the dominant energy unit in biology because it was defined by water's heat capacity — and most biological calorimetry involved water baths. Measuring oxygen consumption in liters per minute and converting to cal/min via the caloric equivalent of oxygen (4.825 kcal/L O₂) was standard practice. The per-minute rate matched the natural timescale of spirometry measurements. Modern papers have mostly switched to watts, but the older literature is vast.

Metabolic rate scales with body mass to the 0.75 power (Kleiber's law). A 3 g mouse produces about 36 cal/min; a 70 kg human about 1,200 cal/min; a 5,000 kg elephant about 30,000 cal/min. Per kilogram, the mouse is 12× more metabolically active than the elephant. This is why small animals eat constantly and have rapid heartbeats — they burn through their energy reserves much faster relative to their size.

In the late 1800s, Wilbur Atwater burned thousands of food samples in a bomb calorimeter — a sealed steel vessel submerged in water — and measured the temperature rise in cal/min to calculate total energy. He then subtracted energy lost in digestion (measured via feces and urine calorimetry) to derive the "physiological fuel values": 4 cal/g for protein, 4 cal/g for carbohydrate, 9 cal/g for fat. These Atwater factors, over 120 years old, are still the basis for every nutrition label worldwide — remarkably accurate despite their crude origin.

Most wrist-based trackers are 15–30% off for cal/min estimates — some studies found errors up to 93%. They estimate from heart rate, which correlates loosely with metabolic rate but is confounded by temperature, caffeine, stress, and fitness level. Chest-strap heart monitors are better (10–15% error). Gold standard is indirect calorimetry with a face mask measuring O₂ and CO₂, accurate to about 3%. For most people, tracker estimates are directionally useful but not precise.

The classic rule: 20 BTU/h per square foot. A 300 sq ft bedroom needs about 6,000 BTU/h; a 500 sq ft living room about 10,000 BTU/h. But this varies wildly with sun exposure (+10% for south-facing), ceiling height, insulation quality, number of occupants (+600 BTU per person), and climate zone. A room above a pizza oven in Phoenix needs more than a basement in Seattle. When in doubt, oversize slightly — an undersized unit runs constantly and never reaches setpoint.

Undersizing is obvious — the unit runs constantly and never reaches the thermostat setpoint on hot days. But oversizing is worse in subtle ways. An oversized AC cools the air quickly then shuts off before removing enough humidity, leaving you with a clammy 72°F house. The short cycles also wear the compressor faster (startup is the hardest moment) and waste energy. A 1-ton oversize in a humid climate like Florida can raise indoor humidity from a comfortable 45% to a muggy 60%. Proper Manual J load calculations matter more than most homeowners realize.

Exactly 12,000 BTU/h. One ton of AC is the cooling effect of melting one short ton (2,000 lbs) of ice over 24 hours. The ice absorbs 288,000 BTU of heat as it melts (2,000 lbs × 144 BTU/lb latent heat), divided by 24 hours = 12,000 BTU/h. Residential systems run 1.5–5 tons; commercial buildings 10–500 tons. The "ton" unit persists because HVAC contractors think in tons — "that house needs a 3-ton unit" is faster than "that house needs 10.5 kW of cooling."

Modern units achieve 12–25 BTU/h per watt of electricity (SEER 12–25). A SEER 20 unit removes 20 BTU/h of heat for every watt consumed — effectively a 3:1 heat pump ratio. That 12,000 BTU/h window unit draws 500–1,000 W of electricity depending on efficiency. The best mini-splits achieve SEER 30+, removing 30 BTU/h per watt, making them cheaper to run than resistive electric heaters even in heating mode.

A gas furnace's BTU/h rating is its thermal output after combustion efficiency losses (typically 80–96% of fuel input). A heat pump's BTU/h rating is the heat delivered including energy moved from outside — at COP 3, a heat pump delivering 36,000 BTU/h uses only 12,000 BTU/h worth of electricity. This makes direct BTU/h comparisons misleading: a 60,000 BTU/h furnace and a 60,000 BTU/h heat pump deliver the same heat, but the heat pump uses one-third the energy.