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Chapter 1: Q 1.63 (page 44)
At about what pressure would the mean free path of an air molecule at room temperature equal , the size of a typical laboratory apparatus?
The mean free path pressure is
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Make a rough estimate of the thermal conductivity of helium at room temperature. Discuss your result, explaining why it differs from the value for air.
Make a rough estimate of thermal conductivity of helium at room temperature. Discuss your result, explaining why it differs the value for air
Consider a narrow pipe filled with fluid, where the concentration of a specific type of molecule varies only along its length (in the x direction). Fick's second law is derived by considering the flux of these particles from both directions into a short segment
Imagine some helium in a cylinder with an initial volume of 1 liter and an initial pressure of 1 atm. Somehow the helium is made to expand to a final volume of 3 liters, in such a way that its pressure rises in direct proportion to its volume.
By applying a pressure of , you can compress water to of its usual volume. Sketch this process (not necessarily to scale) on a diagram, and estimate the work required to compress a liter of water by this amount. Does the result surprise you?
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