Let , and respectively denote the mean speed, root mean square speed, and most…

CHEMISTRY · Single correct · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures

Problem

Let

\bar{v}

v_{\text{rms}}

and

v_p

respectively denote the mean speed, root mean square speed, and most probable speed of the molecules in an ideal monatomic gas at absolute temperature T. The mass of a molecule is m. Then (1) no molecule can have a speed greater than

\sqrt{2} v_{\text{rms}}

(2) no molecule can have a speed less than

v_p / \sqrt{2}

(3)

v_p < \bar{v} < v_{\text{rms}}

(4) the average kinetic energy of a molecule is

\frac{3}{4} m v_p^2

Related theory

Gaseous State
States of Matter

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