
Description


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Thermodynamic temperature is a base dimension in the International System of Units. The SI unit of thermodynamic temperature is the kelvin, defined as the fraction $\frac{1}{273.16}$ of the thermodynamic temperature of the triple point of water (13th CGPM, 1967).

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It is often more convenient to represent empirical temperatures using Temperature objects, rather than expressions with a unit. For example, such objects can represent a temperature with value 0, whereas expressions with a unit cannot.

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Maple knows the units of temperature listed in the following table.

Name

Symbols

Context

Alternate Spellings

Prefixes






kelvin

K

SI *

kelvins

SI






degree

Celsius @, degC @, deg

Celsius

degrees



Rankine @, degR @, deg

Rankine




Fahrenheit @, degF @, deg

Fahrenheit




centigrade @, degc @, deg

centigrade




Reaumur @, degRe @, deg

Reaumur



planck_temperature


planck *

planck_temperatures





An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI indicate that the unit takes only positive and negative SI prefixes, respectively. Refer to a unit in the Units package by indexing the name or symbol with the context, for example, kelvin[SI] or deg[Celsius]; by using an abbreviation, for example, degC or Celsius; or, if the context is indicated as the default, by using only the unit name or symbol, for example, kelvin.


Note: The default context of the degree is angle, relating to a measurement of angle not temperature.

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To convert absolute temperatures, for example, to convert 0 degrees Celsius to 32 degrees Fahrenheit, use the conversion routine convert/temperature.

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To convert temperature intervals, for example, to convert an increase of 5 kelvin to an increase of 5 degrees Celsius, use the conversion routine convert/units.


The units of thermodynamic temperature are defined as follows.


A degree Celsius is defined as $1$ kelvin.


A degree Rankine is defined as $\frac{5}{9}$ kelvin.


A degree Fahrenheit is defined as $\frac{5}{9}$ kelvin.


A degree centigrade is defined as $\frac{1}{100}$ of the thermodynamic temperature interval between the freezing and boiling points of water at standard pressure. It is approximately equal to $0.99975$ kelvin.


A degree Reaumur is defined as $\frac{1}{80}$ of the thermodynamic temperature interval between the freezing and boiling points of water at standard pressure. It is approximately equal to $0.7998$ kelvin.


A planck temperature is defined as the square root of: the planck constant times the speed of light to the fifth power, divided by twice $\mathrm{\pi}$ times the Newtonian gravitational constant times the Boltzmann constant.



Examples


>

$\mathrm{convert}\left('\mathrm{kelvin}'\,'\mathrm{dimensions}'\,'\mathrm{base}'=\mathrm{true}\right)$

${\mathrm{thermodynamic\_temperature}}$
 (1) 
>

$\mathrm{convert}\left(10\,'\mathrm{units}'\,'\mathrm{degF}'\,'\mathrm{degC}'\right)$

>

$\mathrm{convert}\left(10\,'\mathrm{temperature}'\,'\mathrm{degF}'\,'\mathrm{degC}'\right)$

${}\frac{{110}}{{9}}$
 (3) 
>

$\mathrm{convert}\left(10\,'\mathrm{units}'\,'\mathrm{degR}'\,'\mathrm{kelvin}'\right)$

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$\mathrm{convert}\left(10\,'\mathrm{temperature}'\,'\mathrm{degR}'\,'\mathrm{kelvin}'\right)$

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$\mathrm{convert}\left(23.325\,'\mathrm{units}'\,'\mathrm{degF}'\,'\mathrm{kelvin}'\right)$

>

$\mathrm{convert}\left(23.325\,'\mathrm{temperature}'\,'\mathrm{degF}'\,'\mathrm{kelvin}'\right)$



