Which mathematical relationship best describes how the root-mean-square (rms) speed…

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

Problem

Which mathematical relationship best describes how the root-mean-square (rms) speed urmsu_{\text{rms}} of a gas depends on its molar mass MM when the temperature is held constant? (a) urms∝Mu_{\text{rms}} \propto \sqrt{M} (b) urms∝1Mu_{\text{rms}} \propto \dfrac{1}{M} (c) urms∝1Mu_{\text{rms}} \propto \dfrac{1}{\sqrt{M}} (d) urmsu_{\text{rms}} is independent of MM

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