Specific energy

Source: Wikipedia, the free encyclopedia.
Specific energy
Common symbols
SI unit
J/kg
Other units
kcal/g, W⋅h/kg, kW⋅h/kg, Btu/lb
In SI base unitsm2⋅s−2
Intensive?Yes
Derivations from
other quantities
Dimension

Specific energy or massic energy is

extensive properties
.

The

BTU per pound (Btu/lb) is used in some engineering and applied technical fields.[1]

The concept of specific energy is related to but distinct from the notion of

molar energy in chemistry, that is energy per mole of a substance, which uses units such as joules per mole, or the older but still widely used calories per mole.[2]

Table of some non-SI conversions

The following table shows the factors for conversion to J/kg of some non-

SI units
:

Unit SI equivalent
kcal/g[3] 4.184 MJ/kg
Wh/kg 3.6 kJ/kg
kWh/kg 3.6 MJ/kg
Btu/lb[4]
 2.326 kJ/kg
Btu/lb[5] 2.32444 kJ/kg

For a table giving the specific energy of many different fuels as well as batteries, see the article Energy density.

Ionising radiation

For

dose equivalent H, the special names for the respective units should be used, that is, the name gray should be used instead of joules per kilogram for the unit of absorbed dose D and the name sievert instead of joules per kilogram for the unit of dose equivalent H."[6]

Energy density of food

Main article: Food energy

Energy density is the amount of energy per mass or volume of food. The energy density of a food can be determined from the label by dividing the energy per serving (usually in

food calories) by the serving size (usually in grams, milliliters or fluid ounces). An energy unit commonly used in nutritional contexts within non-metric countries (e.g. the United States) is the "dietary calorie," "food calorie," or "Calorie" with a capital "C" and is commonly abbreviated as "Cal." A nutritional Calorie is equivalent to a thousand chemical or thermodynamic calories (abbreviated "cal" with a lower case "c") or one kilocalorie (kcal). Because food energy is commonly measured in Calories, the energy density of food is commonly called "caloric density".[7]
In the metric system, the energy unit commonly used on food labels is the kilojoule (kJ) or megajoule (MJ). Energy density is thus commonly expressed in metric units of cal/g, kcal/g, J/g, kJ/g, MJ/kg, cal/mL, kcal/mL, J/mL, or kJ/mL.

Energy density measures the energy released when the food is

metabolized by a healthy organism when it ingests the food (see food energy for calculation). In aerobic environments, this typically requires oxygen as an input and generates waste products such as carbon dioxide and water. Besides alcohol, the only sources of food energy are carbohydrates, fats and proteins, which make up ninety percent of the dry weight of food.[8] Therefore, water content is the most important factor in computing energy density. In general, proteins have lower energy densities (≈16 kJ/g) than carbohydrates (≈17 kJ/g), whereas fats provide much higher energy densities (≈38 kJ/g),[8] 2+1⁄4 times as much energy. Fats contain more carbon-carbon and carbon-hydrogen bonds than carbohydrates or proteins, yielding higher energy density.[9] Foods that derive most of their energy from fat have a much higher energy density than those that derive most of their energy from carbohydrates or proteins, even if the water content is the same. Nutrients with a lower absorption, such as fiber or sugar alcohols, lower the energy density of foods as well. A moderate energy density would be 1.6 to 3 calories per gram (7–13 kJ/g); salmon, lean meat, and bread would fall in this category. Foods with high energy density have more than three calories per gram (>13 kJ/g) and include crackers, cheese, chocolate, nuts,[10]
and fried foods like potato or tortilla chips.

Fuel

Main article: Energy density

Energy density is sometimes useful for comparing fuels. For example, liquid hydrogen fuel has a higher specific energy (energy per unit mass) than gasoline does, but a much lower volumetric energy density.

Astrodynamics

astrodynamics, because gravity changes the kinetic and potential specific energies of a vehicle in ways that are independent of the mass of the vehicle, consistent with the conservation of energy in a Newtonian gravitational system
.

The specific energy of an object such as a meteoroid falling on the Earth from outside the Earth's gravitational well is at least one half the square of the escape velocity of 11.2 km/s. This comes to 63 MJ/kg (15 kcal/g, or 15 tonnes TNT equivalent per tonne). Comets have even more energy, typically moving with respect to the Sun, when in our vicinity, at about the square root of two times the speed of the Earth. This comes to 42 km/s, or a specific energy of 882 MJ/kg. The speed relative to the Earth may be more or less, depending on direction. Since the speed of the Earth around the Sun is about 30 km/s, a comet's speed relative to the Earth can range from 12 to 72 km/s, the latter corresponding to 2592 MJ/kg. If a comet with this speed fell to the Earth it would gain another 63 MJ/kg, yielding a total of 2655 MJ/kg with a speed of 72.9 km/s. Since the equator is moving at about 0.5 km/s, the impact speed has an upper limit of 73.4 km/s, giving an upper limit for the specific energy of a comet hitting the Earth of about 2690 MJ/kg.

If the

Hale-Bopp comet (50 km in diameter) had hit Earth, it would have vaporized the oceans and sterilized the surface of Earth.[11]

Miscellaneous

  • Kinetic energy per unit mass: 1/2v2, where v is the speed (giving J/kg when v is in m/s). See also kinetic energy per unit mass of projectiles.
  • Potential energy with respect to gravity, close to Earth, per unit mass: gh, where g is the acceleration due to gravity (standardized as ≈9.8 m/s2) and h is the height above the reference level (giving J/kg when g is in m/s2 and h is in m).
  • specific heat of vaporization

See also

References

  1. ^ Kenneth E. Heselton (2004), "Boiler Operator's Handbook". Fairmont Press, 405 pages.
    ISBN 0881734357
  2. ^ Jerzy Leszczynski (2011), "Handbook of Computational Chemistry". Springer, 1430 pages.
    ISBN 940070710X
  3. ^ Using the thermochemical calorie.
  4. steam table
    calorie.
  5. ^ Using the definition based on the thermochemical calorie.
  6. ^ "CIPM, 2002: Recommendation 2". BIPM.
  7. ^ Stevens, Heidi (April 19, 2010). "Consider caloric density for weight loss". Chicago Tribune.
  8. ^ a b "Carbohydrates, Proteins, and Fats: Overview of Nutrition". The Merck Manual.
  9. ISBN 9781444313222
    .
  10. ^ "The Okinawa Diet: Caloric Density Pyramid" (PDF). Archived from the original (PDF) on May 9, 2009.
  11. ^ "The end of life on Earth". New Scientist. Jun 4, 2016.
  • Çengel, Yunus A.; Turner, Robert H. (2005). Fundamentals of Thermal-Fluid Sciences. McGraw Hill.
    ISBN 0-07-297675-6
    .
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