1. Consider the same cylindrical vacuum chamber you had in last weeks homework, problem number 2: Ar gas in a 10 cm radius chamber. Pick 1 Torr as the pressure, and say that the vertical length of the chamber is 60cm. From your last weeks homework, you should already now know the electron temperature. a) Use figure 3.17 to find the energy needed to create an electron-ion pair, and use that value in the rest of the problem. b) Assume the power absorbed in this plasma is 1000 W. Use the Completely Uniform Density Mode to find the density of the plasma. This assumes the hR and hl factors are equal to 1. c) Use the formulas in section 10.2 of L & L to find the correct values of the h factors, and then find the density at the center of the discharge. d) Use the ambipolar diffusion Non-Uniform Discharge Model to find the density of the plasma (pp 336 to 337) at its center. e) Discuss the difference between parts b, c, and d.