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Difference between revisions of "40d:Specific heat"

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Does anyone know what the default value for <b>SPEC_HEAT</b> is?
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The default value for <b>SPEC_HEAT</b> is <b>409</b>.  However, default values are not established for the various <b>creature_product_SPEC_HEAT</b> tokens.
  
 
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Revision as of 08:22, 4 January 2008

The SPEC_HEAT token

The SPEC_HEAT token controls 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 [1] [2] [3].

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 degree Kelvin, or exactly the more rarely reported cp in Joules per kilogram per degree Kelvin.

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

Sample specific heats as used by Dwarf Fortress

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 not in raws
Alcohol, ethyl, 100 proof 3856 not in raws
Beef, carcass, not frozen 2850 not in raws
Charcoal ≈ 1000 not in raws
Cheese, Cheddar, aged 60 weeks 3012 not in raws
Coke 850 not in raws
Glass, crystal ≈ 500 not in raws
Glass, silica 790 not in raws
Sand 835 not in raws
Silk (silkworm?) ≈ 1380 not in raws
Silk (hornet) ≈ 1500 not in raws
Silk (spider, viscid) ≈ 1400 not in raws
Water, liquid, at STP 4218 not in raws
Water, solid, at STP 2114 not in raws
Wood [†] 1700 to 2900 not in raws

[*]  Note the inconsistency in the Carbon values.
[†]  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 [4]


The default value for SPEC_HEAT is 409. However, default values are not established for the various creature_product_SPEC_HEAT tokens.


[5] and [6] have tables with other materials’ specific heats.

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

Sometimes references will give specific heat in calories per gram Kelvin, or calories per kilogram Kelvin. To convert calories per gram Kelvin to DF units, multiply by 4184. To convert calories per kilogram Kelvin to DF 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 degree Kelvin. Btu/lb°F is equal to cal/g°K. So just multiply by 4184 to convert to DF units.

Sometimes references will report specific heat of liquids or gases in Joules (or calories) per mole per degree 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.