J The average kinetic energy o

timer Asked: Mar 30th, 2016

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J The average kinetic energy of an electron in a ground-state helium atom is 2.4 x 103 kJ/mol. A. What is the corresponding electron velocity using KE = ½ mv2 ? Remember to convert energy/mol of electrons into KE/one electron first! B. An experiment is able to measure this velocity with an uncertainty of 10%. Calculate the minimum uncertainty in the position (∆x) of the electron for this experiment. Hints: First find 10% of the velocity you calculated above (∆v). Then solve ∆x∆v ≥ h/4πm for ∆x. To obtain a minimum, use an = instead of a ≥. C. The effective radius of a helium atom is 130 pm. Is the uncertainty in the position you calculated above a significant fraction of this effective radius? Include a sketch and a calculation in your answer.

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