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phys 369 09 hw 11

# phys 369 09 hw 11 - Phys 369 Fall 2009 Homework#11 Due Mon...

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Phys. 369, Fall 2009 Homework #11 Due Mon. Nov. 30, beginning of class 100 points total 1. (22 points) Suppose that you have a container of pure nitrogen gas at pressure 0.5 atm and temperature 200 C ° . Suppose that the nitrogen molecules collide as hard spheres with a radius of 10 1.88 10 m. × Calculate each of the following quantities: a) the mean free path of a molecule. b) the average rate at which a given molecule will collide with other molecules. c) the thermal conductivity of the gas. d) the viscosity of the gas e) Suppose that you are able to follow the motion of a specific nitrogen molecule. (For example, it might be a different isotope with a slightly shifted spectral line that you could excite selectively.) If you take the origin of coordinates to be the position of the nitrogen molecule at time 0, t = about how long would it take for the rms displacement of that molecule to reach a value of 10 cm by diffusion through the gas?

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