A sample of argon gas is confined in a rigid

CHEMISTRY · Multi-part · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures

Problem

A 1.0 mol1.0\,\text{mol} sample of argon gas is confined in a rigid, perfectly insulated vessel. Initially the gas is at an absolute temperature of 300 K300\,\text{K}, and its Maxwell-Boltzmann speed distribution is carefully recorded. The gas is then heated (by an electric heater inside the vessel) to a new equilibrium temperature of 450 K450\,\text{K}, still at constant volume. (a) Describe qualitatively how the position, height, and width of the peak of the speed distribution change as the temperature is raised from 300 K300\,\text{K} to 450 K450\,\text{K}. Include a brief explanation for each change. (b) On appropriately labeled axes, sketch the original (300 K300\,\text{K}) and final (450 K450\,\text{K}) speed distributions on the same set of axes. Clearly indicate relevant differences between the two curves. (c) Explain why the total area under each curve remains the same even though the shape changes. (d) Using your understanding of molecular motion, discuss how the change in the distribution affects the average force per collision with the vessel wall and hence the gas pressure.

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