I need help with this practice problem, please explain everything as I really wa

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I need help with this practice problem, please explain everything as I really want to lear, thanks in advance.

Questions to Answer 1. Below is shown the M-B distribution for the 4 noble gases 4He 20Neon, 40Ar and 132xe at a temperature of 300 K. (a) How do the total areas under the four curves compare? (b) From the graph estimate to most probable speed for each gas. Put each speed in the table (c) e most probable speed for a gas is given by Equation 5: vmp (2RTM) What does this imply about the quantity Mv 2 at a constant temperature? (d) To test this, evaluate Mvmp 2 for each of the four gases. To simplify the calculations, express the masses in atomic mass units and the speeds in m/s. Ne Ar Xe Gas He vmp Mvmp e) How well do the four values of Mv agree? mp2 Based on this analysis, explain why the Earth can retain Ar and Xe in its atmosphere, but not He Maxwell-Boltzmann Molecular Speed Distribution for Noble Gases 0.00 4He Ne 0.002 40 Ar 132 xe 8 0.001 1000 1500 2000 2500 500 Speed (mls) Page 28

Explanation / Answer

1) a) Area under the probability density function curve is always equal to 1. Therefore, Area under the four curves are equal and is equal to 1.

b)The most probable speed is the speed for which the element stays at that speed for the most of the time. That's why the top most point of every curve is the most probable speed for the respective noble gasses.

c) Mv2mp is equal to 2RT which is constant for all the given noble gasses at constant temperature.

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