Calories (th)/minute to Joules/hour
cal(th)/min
J/h
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Quick Reference Table (Calories (th)/minute to Joules/hour)
| Calories (th)/minute (cal(th)/min) | Joules/hour (J/h) |
|---|---|
| 100 | 25,103.9999999965479168 |
| 500 | 125,519.999999982739584 |
| 1,200 | 301,247.9999999585750016 |
| 3,000 | 753,119.999999896437504 |
| 5,000 | 1,255,199.99999982739584 |
| 10,000 | 2,510,399.99999965479168 |
| 50,000 | 12,551,999.9999982739584 |
About Calories (th)/minute (cal(th)/min)
Calories (thermochemical) per minute (cal(th)/min) equals approximately 0.0697 watts. It appears in biological heat production studies, slow chemical reaction calorimetry, and older physiology literature where metabolic rates are expressed in calories per minute. One cal(th)/min is a very small power — roughly the heat output of a resting bacterium culture. The unit relates naturally to the calorie-per-minute metabolic rates occasionally cited in exercise science.
Resting human metabolism is roughly 1,200 cal(th)/min (~83 W). Light walking expends about 3,000–4,000 cal(th)/min (~210–280 W) of total metabolic power.
About Joules/hour (J/h)
Joules per hour (J/h) is a very low power unit, equivalent to approximately 0.000278 watts. It is used in precision calorimetry, passive building heat loss calculations, and biological heat flux measurements where the energy exchange over hours is more meaningful than per-second rates. One watt equals 3,600 J/h. The unit is occasionally seen in nutrition science and environmental physiology, where energy budgets are tracked over hours.
A sleeping mouse dissipates roughly 720,000 J/h (~200 W/kg) due to its high surface-area-to-volume ratio. A well-insulated house loses about 36,000,000 J/h (10 kW) on a cold winter day.
Calories (th)/minute – Frequently Asked Questions
How many calories per minute does running burn?
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.
Why do old physiology textbooks use cal/min for metabolic rate?
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.
How does metabolic rate in cal/min change with body size?
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.
How did bomb calorimetry help determine the caloric content printed on food labels?
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.
How accurate are fitness trackers at measuring cal/min?
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.
Joules/hour – Frequently Asked Questions
Why use joules per hour instead of just watts?
When you're tracking energy budgets over hours — passive house heat loss, slow battery self-discharge, biological calorimetry — expressing rates in J/h matches the timescale of your measurements. A passive house losing 36 MJ/h is more intuitive to a building physicist than "10 kW" because they're calculating daily heat budgets in megajoules. It's a unit of convenience, not necessity.
How does joules per hour relate to kilowatt-hours?
One kWh = 3,600,000 J, so 3,600,000 J/h = 1 kW. The relationship is elegantly circular: if you consume 3.6 MJ/h of power, you use exactly 1 kWh of energy each hour. This makes J/h a natural bridge unit between the SI energy world (joules) and the practical electricity billing world (kWh). Multiply J/h by hours and you get joules of total energy; divide by 3,600,000 and you get kWh.
What is the heat loss of a well-insulated building in joules per hour?
A Passivhaus-certified building targets heat loss below 54 MJ/h (15 W/m² × 1,000 m² for a typical house). A standard older home might lose 180–360 MJ/h (50–100 kW) on a cold day. The difference is dramatic: triple glazing, 300mm insulation, and air-tightness can reduce heat loss by 80%. Building energy certificates in some countries express this in kWh/m²/year, but the underlying calculation uses J/h or W.
How many joules per hour does a human radiate while sleeping?
About 230,000–290,000 J/h (65–80 W). This drops from your waking basal rate of ~290,000–360,000 J/h (80–100 W) because metabolic rate falls 10–15% during sleep. The heat warms your bed and room measurably — two people sleeping together can raise bedroom temperature by 1–2°C overnight in a small, well-insulated room. It's why you wake up warm even without the heating on.
Is J/h used in any standards or building codes?
Not directly — most building codes use watts per square meter (W/m²) or kWh/m²/year for energy performance ratings. However, the underlying heat transfer calculations in standards like ISO 13790 effectively compute in J/h when assessing hourly energy balances. Some German and Swiss engineering tools output intermediate results in kJ/h or MJ/h. The unit lives in the calculation layer, even if the final certificate uses more familiar units.