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