a) Calculate the numerical values of the energies of the first four energy levels in hydrogen in units of both joules (J) and in electron-volts (eV). The first four energy levels are found substituting n = 1, 2, 3, 4 into the equation you found in section (f) above. Show all work. b) Use r = n²ħ²/(e²km) to calculate numerical values for the radii of the first four allowed electron 'orbits' in hydrogen, in units of m. The radius of the 'orbit' closest to the nucleus is called the Bohr radius and is given the symbol ao. (You should notice that each radius is a multiple of the Bohr radius, ie. when n = 1 then r = ao, if n = 2 then r = 2² ao, at n = 3 then r = 9 ao, etc.) c) Summarize your numerical results in the following table; Quantum number n Radius of electron's 'orbit' (m) Electron Energy (J) Electron Energy (eV)
a) Calculate the numerical values of the energies of the first four energy levels in hydrogen in units of both joules (J) and in electron-volts (eV). The first four energy levels are found substituting n = 1, 2, 3, 4 into the equation you found in section (f) above. Show all work. b) Use r = n²ħ²/(e²km) to calculate numerical values for the radii of the first four allowed electron 'orbits' in hydrogen, in units of m. The radius of the 'orbit' closest to the nucleus is called the Bohr radius and is given the symbol ao. (You should notice that each radius is a multiple of the Bohr radius, ie. when n = 1 then r = ao, if n = 2 then r = 2² ao, at n = 3 then r = 9 ao, etc.) c) Summarize your numerical results in the following table; Quantum number n Radius of electron's 'orbit' (m) Electron Energy (J) Electron Energy (eV)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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