1) Calculate the energy of one mole of UV photons of wavelength 300 nm and compare it with a typicalsingle-bond energy of 400 kJ/mol.2) Calculate the de Broglie wavelength of an electron moving at 1/137th the speed of light.3) Calculate the radius of Bohr's fifth orbit for hydrogen atom.4) The electron energy in hydrogen atom is given by En = (-2.18 x 10 -18)/n² J. Calculate the energyrequired to remove an electron completely from the n = 2 orbit. What is the longest wavelength oflight in cm that can be used to cause this transition?5) Simplify (a) i2; (b) i3; (c) i*; (d) i*i; (e) (1+ 51)(2 - 37); (f) (1 - 3i)/(4 + 2i). Hint: In (f), multiply numeratorand denominator by the complex conjugate of the denominator.6) At a certain instant of time, a one-particle, one-dimensional system has Y = (2/b3)/2 xe-lx//bwhere b = 3.000 nm. If a measurement of x is made at this time in the system, find the probabilitythat the result(a) Lies between 0.9000 nm and 0.9001 nm (treat this interval as infinitesimal).(b) Lies between 0 and 2 nm (use the integral below).(c) For what value of x is the probability density a minimum? (There is no need to use calculus toanswer this.)(d) Verify that Y is normalized.7) Consider a particle with quantum number n moving in a one-dimensional box of length I.(a) Find the probability of finding the particle in the left quarter of the box. (b) For what value of n isthis probability a maximum? (c) What is the limit of this probability for n→ o?8) For the particle confined to a 2-D box, find the following values for the state with quantum numbersn (a) ; (b) ; (c) ; (d) ; Is = ? Is =?2 2rn!redxn>-1, q > 01sin bx dx =- sin(2hx)4b

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1) Calculate the energy of one mole of UV photons of wavelength 300 nm and compare it with a typical single-bond energy of 400 kJ/mol.

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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