Questions: Consider the following samples of gas: - sample composition pressure temperature - A 1.1 mol Ne(g) 2.9 atm 291 °C - B 1.4 mol Ne(g) 2.9 atm 320 °C - C 1.6 mol Ne(g) 2.9 atm 258 °C - sample composition pressure temperature - D 1.8 mol Ar(g) 2.5 atm 32 °C - E 2.3 mol He(g) 2.5 atm 32 °C - F 1.6 mol Ne(g) 2.5 atm 32 °C Select the set of graphs below that show the distributions of the speed of the atoms in each sample.

Solution Steps

The speed distribution of gas particles is directly related to temperature. Higher temperatures correspond to broader speed distributions, meaning a wider range of speeds and a higher average speed. Lower temperatures lead to narrower distributions with lower average speeds. Pressure and the number of moles present do not affect the _shape_ of the distribution. Different gases at the same temperature will have different average speeds based on their molar masses.

Samples A, B, and C are all neon gas at different temperatures, with sample B having the highest temperature and C the lowest. Therefore, B should have the broadest distribution, A a medium distribution, and C the narrowest. Samples D, E, and F are all at the same temperature (32 °C). Thus, their distributions will have similar widths, but their average speeds will vary due to their different molar masses. Helium (E) will have the highest average speed, followed by neon (F), then argon (D).

We are looking for one graph set that displays three distributions for neon where one is broad, one is medium, and one is narrow. The second graph set should show three distributions of similar width, but centered at different locations along the x-axis (speed). The order of average speeds should be E>F>D. This corresponds to option 3 for the first set of graphs and option 4 for the second set.

Final Answer: