I cant sleep so dont take this too seriously, im juts thinking aloud.. too much coffee does this too me.
whats the worst case Mab could be?
Challenge accepted!
well.. lets assume that mabs was not doing it on purpose. ergo, it was a side effect from her pressence on earth... which was on demon reach thats about 250 km from chicago, more or less, according to descriptions from Jim. throw in another 100 km to hit Joliet ( Murphy's place) and we can assume a cylinder with a height of 8.5 km and a rough radius of 350 km. or 3,271,183,350,550,372 cubic meters
Ok, so first of all, as I pointed out before, you are overstating the size of the disruption Mab is making. Google maps says that the distance from Chicago to Joilet is about 50 miles, and that's not in a straight line. The actual distance is more like 30. Just to illustrate things, I took the liberty of attaching a map of the area, and I carefully drew a circle with a radius of approximately 350km. You'll notice that Joilet is WAY inside the circle, as well as a large chunk of lake Michigan. Just how far out do you think Demonreach can be? (How long does Harry say it takes to get to the island? I don't have CD in front of me right now).
Let's make the radius 70km instead. -- that already makes the size of the volume 25 times smaller.
at 1.205kg per cubic meter, at average temp we get..
about 3,941,775,937,413,198,260 grams
now it take 1 joule to cool 1 gram of air (with considerable fudging for humidty, etc..)
so 21 c to 0 ..
82,777,294,685,677,163,460 joules. to accomplish this for one second. in may.
Respectively, but no, this is the
total amount of energy it takes to cool the air off by 20 degrees. If Mab cooled it all in one second this number would be right, but if she was willing to take just 24 hours to cool off the air, you need to divide things by 384,000. Mab had 6 months.
As I pointed out before, a much better estimate is that the temperature drops by 30F at night, and that's just because the sun isn't giving out her 100 Watts per square foot
(asuming no convection, because there was no reports of tornados tossing the sears tower into the lake.)
(also assuming instant transfer, as im not getting into special relativity and times cones here.)
gives us via fourier's heat equation a transfer of 0.006804 calorie/centimeter^2-second
hmm now the surface area of that cylinder was (in cm):
934,623,814,442,963 cm^2 (asuming contact surfaces only)
Whoa -- You're assuming that she needs to shield against heat from the entire surface. This is a BIG nono. Consider that most of the surface area you are getting is from the top of your 8km cylinder. In fact, the average temperature of the air at that height is already close to or below freezing, so little to no heat will escape that way. Instead, lets take the surface area of the sides of the cylinder.
Even using your sizes (and remember that you probably won't be losing heat from the top half of your cylinder) You've got a height of 8km and a radius of 350km = 800,000* 35,000,000 * 2pi = 1.6*10^14, that's 6 times smaller.
so along with the inital cost, she was burning 6,359,180,433,469 joules per second just to keep it cold.
Actually, this about double the 3 trillion watts I had come up with.
thats another 4,944,898,705,066,212,572 just in the few days we saw in GS.
total cost of the cooling alone:
132,226,281,736,339,289,182 joules
or 2,098,829 small atomic bombs.
dont worry, im sure we can take her. all it will take is one iron bullet, right? um, peeps? who wants to shoot first?
Again,
Over the course of 6 months. Think about it this way: An average-sized nuclear power plant produces 1 billion watts, or 1 billion joules per second. Multiply this by 384000 seconds in a day, multiply by 150 days in 6 months, and you get roughly 60,000,000,000,000,000 joules, or the equivalent of 1000 atomic bombs (by your same estimate). The difference is of course that the atomic bomb is released all in one fraction of a second, while the power plant takes it
slow.
Bottom line is, using only your math and your numbers, your final figure "upper limit" means that Mab has the power of about 2000 nuclear reactors. This is only about double what I posted, and I humbly suggest that if you made all the amendments I suggested, you'd get a figure **far** smaller.
(Quick calculation shows, using your math but
my numbers would yield 20 Billion watts, or about the output of about 20 nuclear reactors).
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So yes, the feat is still very impressive, but not crazily so.
