Consider an oxygen (O₂) molecule in a bottle of air. Imagine that at a certain time, we locate the molecule along the x axis to within an uncertainty of 0.1 nm. (a) What is the minimum uncertainty in the molecule's x-velocity required by the Heisenberg Uncertainty Principle? (b) How does this compare (roughly) to the magnitude of the molecule's average x-velocity due to its thermal motion at room temperature? (Hints: Avogadro's number of oxygen molecules has a mass of about 32 g. At an absolute temperature T, a molecule has an average kinetic energy of kB T, where kB is Boltzmann's constant. Room temperature is about 295 K.) Answer

Consider an oxygen (O₂) molecule in a bottle of air. Imagine that at a certain time, we locate the molecule along the x axis to within an uncertainty of 0.1 nm. (a) What is the minimum uncertainty in the molecule's x-velocity required by the Heisenberg Uncertainty Principle? (b) How does this compare (roughly) to the magnitude of the molecule's average x-velocity due to its thermal motion at room temperature? (Hints: Avogadro's number of oxygen molecules has a mass of about 32 g. At an absolute temperature T, a molecule has an average kinetic energy of kB T, where kB is Boltzmann's constant. Room temperature is about 295 K.) Answer

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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