m 0 a a You perform some mass spectroscopy on a gas after working out its temperature change during its expansion into t

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M 0 A A You Perform Some Mass Spectroscopy On A Gas After Working Out Its Temperature Change During Its Expansion Into T 1 (101.76 KiB) Viewed 42 times

m 0 a a You perform some mass spectroscopy on a gas after working out its temperature change during its expansion into the ion column (similar to situation described in Question 9 above) and discover the gas is helium. You take one mole of this helium gas and put it into a chamber that has a volume of 0.12 x 10-3 m² and is at 293 K. You then open a valve and let that gas undergo a free expansion into another chamber so that it is at a final pressure of 1.1 x 10 Pa. Assume this helium behaves as a van der Waals gas and calculate the change in the temperature of the gas produced by this expansion process. Take a=0.0034 N m/mol and b=23.70 x 10-6 m/mol, and the molar heat capacity at constant volume is 12.53 J/(K mol). Hints and warning: For this calculation, assume that the initial and final temperatures are not that different. There is no straightforward analytical solution to this problem (you have to fiddle around with cubic equations), so solve it using an iterative technique (the Jacobi method works fine and can be performed manually for this problem) until you find a variation between iterations to within 1%. Your trial solution for the first iteration can be from the ideal gas equation. If you are past your 2nd iteration, you are working too hard...