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Consider neon as ideal gas with a Maxwell distribution of speeds. (a) For Ne at T = 300 K, obtain median speed vmed such that fractions of molecules with speeds above and under this value are equal. One way to do it is by trial-and-error calculations by adjusting vmed value (to accuracy of 1 m/s - your report must show this *). (b) Compare (not just list, but say which is larger/smaller) vmed with vmp, 〈v〉, 〈v2〉1/2 for the same T. (c) repeat part (a) for T = 600 K, and then for Ar at 300 K, and conclude how vmed changes relative to that in part (a) in each case. (d) based on results above, conclude how exactly vmed depends on T and M, e.g. whether vmed is proportionate to T (or T1/2, or 1/T, or 1/T1/2), and similar for the dependence on M. * for instance: at vmed, fraction (v>vmed) is larger than fraction(v<vmed), and at vmed+1 m/s, fraction (v>vmed) is smaller than fraction(v<vmed)
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