Conversion from Hectojoules to Calories

Information about the Hectojoule (hJ)

The hectojoule is a unit of energy equal to one hundred joules. Its symbol is hJ. Like the decajoule below it, it is a properly formed metric unit that hardly anybody writes, because a three-digit number of joules is already short enough and because the kilojoule waits only one decimal place further up.

The quantity is squarely human. Lifting a ten-kilogram case by one metre takes about 98 joules, so almost exactly one hectojoule. Climbing a single stair step costs an adult roughly 120 joules, and a hundred-watt lamp burns one hectojoule every second. A resting adult body releases about one hectojoule of heat per second simply by staying alive, which makes the unit a fair measure of one second of ordinary existence.

Several familiar quantities land here without carrying the name. A studio flash is rated between one and ten hectojoules, though the trade calls them watt-seconds. A defibrillator delivers two hectojoules in a shock. Structural steel is required to absorb at least 27 joules in a notched-bar impact test, and tough grades absorb well over one hectojoule, which is the difference between a plate that bends and one that shatters.

The prefix itself is far from dead, but it survives attached to other units. The hectopascal is the unit of atmospheric pressure in every weather forecast on earth, chosen precisely because one hectopascal equals one millibar exactly and forecasters could adopt SI without changing a single number on their charts. The hectare measures land almost everywhere, and the hectolitre is the trading unit for wine, beer and milk.

With the joule, none of those conditions were met. There was no legacy unit for the hectojoule to match, no established range of values it made tidier, and no trade that needed it. Engineering had already fixed on kilo as the first step up, so the hectojoule was left describing a range that ordinary decimal notation handles perfectly well on its own.

Reading one is therefore a matter of a single multiplication. A hundred hectojoules is ten kilojoules; four hectojoules is 400 joules. The joule form is what modern specifications, laboratory reports and datasheets will use, so converting on sight keeps a figure consistent with everything printed around it.

One hectojoule equals 100 joules, about 23.9 calories, or about 0.0278 watt-hours.

Information about the Calorie (cal)

The calorie is a unit of energy equal to 4.184 joules. Its symbol is cal. It was originally defined as the heat needed to raise the temperature of one gram of water by one degree Celsius, and it is not an SI unit, though it survives almost everywhere that food and heat are discussed.

The original definition was awkward because the answer depends on the starting temperature. Water takes slightly more heat to warm from 14.5 to 15.5 degrees than from 19.5 to 20.5, so several competing calories existed: the fifteen-degree calorie, the mean calorie and the International Steam Table calorie among them. The thermochemical calorie now used is simply defined as exactly 4.184 joules, cutting the link to water entirely and ending the ambiguity.

The greater confusion is one of scale. The calorie printed on food packaging in the United States is not this unit at all but the kilocalorie, a thousand times larger, sometimes distinguished by a capital C. A biscuit described as containing sixty calories in fact contains sixty thousand of the unit described here. The convention is entrenched and unlikely to change, so nutritional figures and physical ones must be read in different registers.

Chemistry retained the calorie long after physics moved on. Enthalpies of reaction, bond energies and heats of formation were tabulated in kilocalories per mole for most of the twentieth century, and older literature and some current American textbooks still are. The equivalent SI figure in kilojoules per mole is larger by a factor of 4.184, and misreading which is meant produces errors that look plausible.

Nutrition science uses it because human energy balance happens to sit at a convenient scale in kilocalories, with a daily requirement of around two thousand. In joules the same figure is roughly eight and a half million, which is accurate but harder to reason with.

Air conditioning and refrigeration in some countries still rate capacity in kilocalories per hour, and heating values of fuels appear in calories per gram in older engineering tables.

One calorie equals exactly 4.184 joules, 0.001 kilocalories, or about 0.00116 watt-hours.