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Difference between revisions of "40d:Specific heat"

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The various '''SPEC_HEAT''' tokens control a material's specific heat capacity.
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{{quality|Fine|16:38, 7 October 2012 (UTC)}}{{av}}
  
Specific heat is not a temperature.  It is, more or less, the amount of energy it takes to raise the temperature of the material from one temperature to another.  Gold, for instance, has a very low specific heat, so it takes very little energy to raise its temperature by one degree.  Water, with a very high specific heat, takes 32 times as much energy to raise its temperature by one degree.  For more information, see [http://en.wikipedia.org/wiki/Specific_heat_capacity] [http://hypertextbook.com/physics/thermal/heat-sensible/] [http://scienceworld.wolfram.com/physics/SpecificHeat.html].
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The various SPEC_HEAT tokens control a material's '''specific heat''' capacity.
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Specific heat is not a temperature.  It is, more or less, the amount of energy it takes to raise the temperature of the material from one temperature to another.  Gold, for instance, has a very low specific heat, so it takes very little energy to raise its temperature by one degree.  Water, with a very high specific heat, takes 32 times as much energy to raise its temperature by one degree.  For more information, see [[wikipedia:Specific heat capacity|Wikipedia]] [http://hypertextbook.com/physics/thermal/heat-sensible/ hypertextbook], and [http://scienceworld.wolfram.com/physics/SpecificHeat.html scienceworld].
  
 
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As <b>Dwarf Fortress</b> does not have a concept of insulation, <b>SPEC_HEAT</b> can be used to &ldquot;cheat&rdquot; by causing a material which <u>should</u> be quite insulative to actually take more energy to heat up, or lose more energy to cool down, than more normal materials. The result is a material which, if used in clothing, will keep a dwarf form freezing longer than normal cloth or leather would. -->
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As '''Dwarf Fortress''' does not have a concept of insulation,'''SPEC_HEAT''' can be used to "cheat" by causing a material which ''should'' be quite insulative to actually take more energy to heat up, or lose more energy to cool down, than more normal materials. The result is a material which, if used in clothing, will keep a dwarf form freezing longer than normal cloth or leather would. -->
<b>SPEC_HEAT</b> appears to be in units of <b>J kg<sup>-1 </sup>K<sup>-1</sup></b> at <b>STP</b>; i.e. <b>1000</b> times the normally reported <b>c<sub>p</sub></b> in joules per gram per kelvin, or exactly the more rarely reported <b>c<sub>p</sub></b> in joules per kilogram per kelvin.
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'''SPEC_HEAT''' appears to be in units of '''J kg<sup>-1 </sup>K<sup>-1</sup>''' at '''STP'''; i.e. '''1000''' times the normally reported '''c<sub>p</sub>''' in joules per gram per kelvin, or exactly the more rarely reported '''c<sub>p</sub>''' in joules per kilogram per kelvin.
  
It is not understood why the game uses the <b>&deg;C</b> or <b>K</b> scale here, while using the <b>&deg;DF</b> = <b>&deg;F + 9968</b> scale elsewhere.
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It is not understood why the game uses the '''&deg;C''' or '''K''' scale here, while using the '''&deg;U''' = '''&deg;F + 9968''' scale elsewhere.
  
 
=== Sample specific heats as used by Dwarf Fortress ===
 
=== Sample specific heats as used by Dwarf Fortress ===
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The following values are from Dwarf Fortress version 0.28.181.40d, though most also apply to other versions as well.
 
The following values are from Dwarf Fortress version 0.28.181.40d, though most also apply to other versions as well.
  
{| border="1" cellpadding="2" width="100%"
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{| class="wikitable"
 
! width="50%" | Material
 
! width="50%" | Material
! width="25%" | <b>c<sub>p</sub></b> in <b>J kg<sup>-1 </sup>K<sup>-1</sup></b>
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! width="25%" | c<sub>p</sub> in J kg<sup>-1 </sup>K<sup>-1</sup>
! width="25%" | <b>DF</b> uses
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! width="25%" | DF uses
  
 
|-
 
|-
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[http://en.wikipedia.org/wiki/Specific_heat_capacity#Table_of_specific_heat_capacities] and [http://www.engineeringtoolbox.com/specific-heat-solids-d_154.html] have tables with other materials&rsquo; specific heats.
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[[wikipedia:Specific heat capacity#Table of specific heat capacities|Wikipedia]] and [http://www.engineeringtoolbox.com/specific-heat-solids-d_154.html engineeringtoolbox] have tables with other materials' specific heats.
  
References may report specific heat in joules per gram per degree Celsius. Because the Celsius and Kelvin systems use the same scale, differing only in their zero points, this is exactly the same as reporting in joules per gram per kelvin.&nbsp;&nbsp;<b>J/g&deg;C</b> is equal to <b>J/gK</b>
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References may report specific heat in joules per gram per degree Celsius. Because the Celsius and Kelvin systems use the same scale, differing only in their zero points, this is exactly the same as reporting in joules per gram per kelvin. '''J/g&deg;C''' is equal to '''J/gK'''.
  
Sometimes references will give specific heat in calories per gram kelvin, or calories per kilogram kelvin. To convert calories per gram kelvin to <b>DF</b> units, multiply by <b>4184</b>.  To convert calories per kilogram kelvin to <b>DF</b> units, multiply by <b>4.184</b>.
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Sometimes references will give specific heat in calories per gram kelvin, or calories per kilogram kelvin. To convert calories per gram kelvin to '''&deg;U''', multiply by '''4184'''.  To convert calories per kilogram kelvin to '''&deg;U''' units, multiply by '''4.184'''.
  
Older references may give specific heat in B.T.U. per pound per degree Fahrenheit.  1 B.T.U. per pound per degree Fahrenheit is by definition equal to 1 calorie per gram per kelvin.  <b>Btu/lb&deg;F</b> is equal to <b>cal/gK</b>. So just multiply by <b>4184</b> to convert to <b>DF</b> units.
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Older references may give specific heat in B.T.U. per pound per degree Fahrenheit.  1 B.T.U. per pound per degree Fahrenheit is by definition equal to 1 calorie per gram per kelvin.  '''Btu/lb&deg;F''' is equal to '''cal/gK'''. So just multiply by '''4184''' to convert to '''&deg;U'''.
  
Sometimes references will report specific heat of liquids or gases in joules (or calories) per [http://en.wikipedia.org/wiki/Mole_(unit) mole] per kelvin.  The symbol for this is <b>C<sup>p</sup></b> (with a capital C).  This is less useful for our purposes, as you will need to know the molecular weight (in grams per mole) of the compound to convert it.   
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Sometimes references will report specific heat of liquids or gases in joules (or calories) per [[wikipedia:Mole (unit)|mole]] per kelvin.  The symbol for this is '''C<sup>p</sup>''' (with a capital C).  This is less useful for our purposes, as you will need to know the molecular weight (in grams per mole) of the compound to convert it.   
:An example: the molar heat capacity of ethyl alcohol is 113 Joules per mole per degree Centigrade.  The molecular weight of ethyl alcohol is 46.07 grams per mole.  Divide 113 J/mol&deg;C by 46.07 g/mol, resulting in 2.45 J/g&deg;C.  Multiply by 1000 g/kg, resulting in 2450 J/kg&deg;C.  That is our desired result in <b>DF</b> units.
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:An example: the molar heat capacity of ethyl alcohol is 113 Joules per mole per degree Centigrade.  The molecular weight of ethyl alcohol is 46.07 grams per mole.  Divide 113 J/mol&deg;C by 46.07 g/mol, resulting in 2.45 J/g&deg;C.  Multiply by 1000 g/kg, resulting in 2450 J/kg&deg;C.  That is our desired result in '''DF''' units.
  
Note that specific <u>latent</u> heat is a different concept; do not use those values for <b>SPEC_HEAT</b>.
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Note that specific ''latent'' heat is a different concept; do not use those values for '''SPEC_HEAT'''.
  
[[Category:Modding]]
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{{Category|Modding}}
[[Category:Tokens]]
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{{Category|Tokens}}

Latest revision as of 13:01, 4 January 2023

This article is about an older version of DF.

The various SPEC_HEAT tokens control a material's specific heat capacity.

Specific heat is not a temperature. It is, more or less, the amount of energy it takes to raise the temperature of the material from one temperature to another. Gold, for instance, has a very low specific heat, so it takes very little energy to raise its temperature by one degree. Water, with a very high specific heat, takes 32 times as much energy to raise its temperature by one degree. For more information, see Wikipedia hypertextbook, and scienceworld.

SPEC_HEAT appears to be in units of J kg-1 K-1 at STP; i.e. 1000 times the normally reported cp in joules per gram per kelvin, or exactly the more rarely reported cp in joules per kilogram per kelvin.

It is not understood why the game uses the °C or K scale here, while using the °U = °F + 9968 scale elsewhere.

Sample specific heats as used by Dwarf Fortress[edit]

The following values are from Dwarf Fortress version 0.28.181.40d, though most also apply to other versions as well.

Material cp in J kg-1 K-1 DF uses
Adamantine n/a 7500
Aluminum 897 900
Copper 385 385
Carbon (Graphite) 710 409
Carbon (Diamond) 519 409
Gold 129.1 129
Iron, cast ≈500 450
Iron, pig >500 500
Iron, pure 443 450
Iron, wrought 480-500 450
Nickel 444 444
Zinc 388 390
Alcohol, ethyl, anhydrous 2440 2440 (default for plant alcohol)
Alcohol, ethyl, 100 proof 3856 not in raws
Meat (beef, carcass, not frozen) 2850 4181
Charcoal ≈ 1000 409 (hardcoded)
Cheese (Cheddar, aged 60 weeks) 3012 4181 (0.31), 2000 (40d)
Coke 850 409 (hardcoded)
Glass, crystal ≈ 500 700 (hardcoded)
Glass, silica ≈ 840 700 (hardcoded)
Granite 790 800 (default for all stone)
Sand 835 835 (hardcoded)
Silk (silkworm?) ≈ 1380 not in raws
Silk (hornet) ≈ 1500 not in raws
Silk (spider, viscid) ≈ 1400 420 (0.31), 1000 (40d)
Water, liquid, at STP 4218 4181 (hardcoded)
Water, solid, at STP 2114 4181 (hardcoded)
Wood [†] 1700 to 2900 420 (hardcoded prior to 0.31)

[†]  The specific heat of wood varies somewhat between different species. However, the variance is dominated by the moisture content of the wood. Moreover, wet wood behaves very differently below freezing. See [1]


The default value for SPEC_HEAT depends on the material and on the version of Dwarf Fortress in question.


Wikipedia and engineeringtoolbox have tables with other materials' specific heats.

References may report specific heat in joules per gram per degree Celsius. Because the Celsius and Kelvin systems use the same scale, differing only in their zero points, this is exactly the same as reporting in joules per gram per kelvin. J/g°C is equal to J/gK.

Sometimes references will give specific heat in calories per gram kelvin, or calories per kilogram kelvin. To convert calories per gram kelvin to °U, multiply by 4184. To convert calories per kilogram kelvin to °U units, multiply by 4.184.

Older references may give specific heat in B.T.U. per pound per degree Fahrenheit. 1 B.T.U. per pound per degree Fahrenheit is by definition equal to 1 calorie per gram per kelvin. Btu/lb°F is equal to cal/gK. So just multiply by 4184 to convert to °U.

Sometimes references will report specific heat of liquids or gases in joules (or calories) per mole per kelvin. The symbol for this is Cp (with a capital C). This is less useful for our purposes, as you will need to know the molecular weight (in grams per mole) of the compound to convert it.

An example: the molar heat capacity of ethyl alcohol is 113 Joules per mole per degree Centigrade. The molecular weight of ethyl alcohol is 46.07 grams per mole. Divide 113 J/mol°C by 46.07 g/mol, resulting in 2.45 J/g°C. Multiply by 1000 g/kg, resulting in 2450 J/kg°C. That is our desired result in DF units.

Note that specific latent heat is a different concept; do not use those values for SPEC_HEAT.