Imagine that you have a tube that is approximately a cylinder, that is loaded with an ideal gas, that has atoms of mass m, at a specific temperature T. Now assume you place this cylinder within a centrifuge. The orientation of this ideal tube makes its long axis rotate around the axis of the centrifuge. Now the centrifuge will start rotating until it reaches a fixed(constant) angular velocity value (w). a) Find an expression for the dependence of the concentration of the gas, let's call it c(r), on the actual radial distance (r) from the centrifuge axis in terms of c(0). Where (r) = zero is exactly at the axis of the centrifuge mentioned before.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Imagine that you have a tube that is approximately a cylinder, that is loaded with an ideal gas, that has atoms of mass m, at a specific temperature T. Now assume you place this cylinder within a centrifuge. The orientation of this ideal tube makes its long axis rotate around the axis of the centrifuge. Now the centrifuge will start rotating until it reaches a fixed(constant) angular velocity value (w).

a) Find an expression for the dependence of the concentration of the gas, let's call it c(r), on the actual radial distance (r) from the centrifuge axis in terms of c(0). Where (r) = zero is exactly at the axis of the centrifuge mentioned before. 

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