Re: Heat a straw man

Glenn Morton (grmorton@waymark.net)
Wed, 21 Jan 1998 22:34:10 -0600

At 12:07 AM 1/21/98 -0800, Allen Roy wrote:
>Here is another response by a friend concerning the proposed excess heat
>problem.
>
>
>> The chemistry problem forwarded by Allen Roy is almost amusing. All you
>> dieters out there don't be disheartened at the following.
>>
>> I can easily eat 3,000 Calories* at a meal (some have seen me do it).
>> The body's surface area is approx. 16,000 sq. cm.
>> The weight of skin on the average body is ~2.5 kg.
>> If all the energy of the food eaten is released at once, or in a short
>> time period, each sq. cm. of skin would be raised to the temperature of
>> 1,200 degrees C. YES YES - 1,200 degrees C. My skin would burn up,
>> and take a good portion of my body with it. (Maybe that's what's behind
>> spontaneous human combustion :-) )
>>
>> * Remember some elementary school chemistry. One food Calorie
>> (large Calorie or 1,000 small calories - that's why the upper
>> case) will raise a kg of water 1 deg. C.

Your friend does not show any calculations just a number sitting in the
middle of a paragraph (1200 deg C) I would like to see his actual calcuations.

Here is why a meal won't burn you up. First, if you eat too much you store
the energy as fat rather than release it. If you use maximum human exertion
then the problem is different. The maximum caloric intake and output is 7000
Kcalories per day. (Kimberly A. Hammond and Jared Diamond,("Maximal
Sustained Energy Budgets in Humans and Animals," Nature, April 3, 1997, pp
457-462))

A 7,000,000 small calorie intake per day means emitting this much energy
through 1.6 square meters in 24 hours. 7,000,000 calories/1.6 meters^2 =
4,375,000 calories/m^2 must be emitted each day. There are 86400 seconds in
each day.

4,375,000 /(86400) = 50.6 calories/m^2/sec.

converting to joules

50.6*4.184 j/cal.=211 joule/cm^2/sec.

Dividing by the Stefan Boltzman constant

4th root(211/5.6697 x 10^-8) = 247 deg K

This is slightly cooler than I would expect (below freezing) so I think that
the surface area you cited above and which I used, is probably a little too
large. Using less than 1.6 meters squared for the surface area would
increase the temperature to a more reasonable level.

glenn

Adam, Apes, and Anthropology: Finding the Soul of Fossil Man

and

Foundation, Fall and Flood
http://www.isource.net/~grmorton/dmd.htm