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AP Physics 2
9.2 The Ideal Gas Law
9.1 Kinetic Theory of Temperature and Pressure
AdvancedMCQConceptual18.9k
Two gas samples with different densities and atomic speeds exerting equal pressure \(P_0\).
Two gas samples with different densities and atomic speeds exerting equal pressure \(P_0\).
Two identical rigid containers with equal interior surface areas contain different samples of the same monatomic ideal gas. Sample A has twice the number density of atoms as Sample B (
_A = 2n_B
), but the root-mean-square speed of the atoms in Sample B is greater by a factor of \(\sqrt{2}\) (
v_{\text{rms}, B} = \sqrt{2}v_{\text{rms}, A}
). Pressure gauges attached to each container indicate that the macroscopic pressure exerted on the container walls is identical for both samples (
P_A = P_B = P_0
).

Which of the following best explains how both samples produce the same macroscopic pressure despite their different microscopic particle dynamics?

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