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A hole is drilled through the center of Earth and very long L=100km sealed cylindrical pipe is inserted vertically into the hole. The pipe contains thermally insulated nitrogen gas, which is in equilibrium, has temperature T=400K, and pressure 1atm at the bottom.

Under these conditions the gas can be considered ideal, and pressure of the gas at the top of the pipe is negligible.
Its specific heat Cv = 5/2 R.

The pipe is initially at the sea level, and then is very slowly (adiabatically) lowered downward the center of the earth. As gravity decreases, the gas is able to expand and reach higher levels inside the pipe.

What is temperature of the gas when the pipe is half-way down to the center of the earth?
[in assumption of uniformly dense planet gravity at this point is g/2]

2007-09-26 04:25:30 · 3 answers · asked by Alexander 6 in Science & Mathematics Physics

3 answers

Wouldnt gravity be stronger as it got closer to the center of the earth? (third paragraph, second sentence)

2007-09-26 09:58:39 · answer #1 · answered by Toledo Engineer 6 · 0 0

I would question whether a hole could be drilled through the center of the earth. The core believed to be composed mostly of iron, at a pressure of about 3.5 Mbar, temperature 7000K.

How the hell do you drill in to that?

2007-09-26 10:09:20 · answer #2 · answered by Anonymous · 1 0

You haven't shown your work so far, so it's pretty hard to figure out where you're having trouble. Doing the entire problem for you would be cheating. Let us know how far you got?

2016-05-19 00:35:39 · answer #3 · answered by ? 3 · 0 0

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