1 digit calculations just for orders of magnitude:

If we assume a doubling of CO2 is 4 W / m2 and the earth is 5 x 10^14 m2, a
doubling of CO2 traps about 2 x 10^15 W.

If we assume 2 GtC / ppm, and think it takes say 300 ppm to double CO2, that
is 600 GtC, 600 x 10^12 kgC = 6 * 10^14 GC, so each kgC in the atmosphere
traps around 3 W.

Oil is about 4.5 x 10^7 J / kg. If we pretend oil is CH2, then we can assume
that most of this mass is carbon, but a lot of the energy comes for the
hydrogen.  So by this reckoning it would take  ( 4.5 x 10^7 J / kg ) /  (3 W
/ kgC) = 1.5 * 10^7 s or less than half a year for the greenhouse gas to
heat up as much as the thermal heating from the oil.

Of course, this CO2 is accumulating in the atmosphere.

If you think the airborne fraction on the margin, is around 0.5 over the
first thousand years, giving you about the radiative heating each year
equivalent to the chemical heating from burning. Then you get a few hundred
thousand years with several fold less heating, with a cumulative radiative
heating on the order of 100,000 times the direct chemical heating. (I am not
going to quibble about small integer multipliers one way or the other.)

Of course, all of this heat will not go into melting ice.

(I think that 75 was the ratio of current atmospheric CO2 radiative forcing
to direct heating from fossil fuel burning, but I would need to go back to
check.)





___________________________________________________
Ken Caldeira

Carnegie Institution Dept of Global Ecology
260 Panama Street, Stanford, CA 94305 USA

[email protected]; [email protected]
http://dge.stanford.edu/DGE/CIWDGE/labs/caldeiralab
+1 650 704 7212; fax: +1 650 462 5968



On Thu, Nov 19, 2009 at 3:08 PM, Ron Larson <[email protected]>wrote:

> Dave (cc Ken and list):
>
> Thanks to Dave.
>
>  1.  Since I doubt very much that the computation shown included anything
> on CO2 effects,   I hope Ken can weigh in on this, per the discussion last
> week re:
> http://climateprogress.org/wp-content/uploads/2009/11/Warming-burning-091018.pdf
>
>   2.  The answer might be 100,000 times larger - but that might exhaust the
> supply of glaciers.
>
>   3.    Would Exxon today say that one day's worth of melting was
> calculated properly.  That we are only talking of an insignificant addition
> of only about 75/365  (only about another 20%,  assuming we don't worry
> about whether today's energy consumption is impacting any glacier tomorrow.)
>  (Ken had a factor of 75 for 1 year).
>
>    4.   I haven't had any luck logging on to to leave a comment at the
> Grist site, so hope someone will.  One chap has shown a multiplicative
> factor of 65 - which looks like he has calculated for a year.
>
>  Ron
>
> Hawkins, Dave wrote:
>
>> Ad in Life magazine 1962.
>> http://www.grist.org/article/2009-11-18-oil-enough-energy-to-melt-glaciers/
>>
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