Two ideal gases A and B are each at the same temperature
CHEMISTRY · Multi-part · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures
Problem
Two ideal gases A and B are each at the same temperature T. The gases are monatomic and non-reactive.
Respond to the following prompts regarding molecular speeds.
(a) Starting from the definition of translational kinetic energy for a single particle, obtain an algebraic expression for the ratio average speed of Baverage speed of A in terms of their molar masses MA and MB.
(b) Using the expression from part (a), calculate the average-speed ratio for neon (20.18 g·mol⁻¹) relative to xenon (131 g·mol⁻¹) at a common temperature.
(c) Discuss two distinct physical assumptions implicit in your derivation in part (a) and explain how violating each assumption could cause deviations from the predicted speed ratio in real gases.