Midterm 1 2010 - Full Name: _ Student Number: _ Seat...

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1 Full Name: ________________________ Seat Number: _________ Student Number: ___________________ CHM 2311 Midterm 1 February 25, 2010 Professor Darrin Richeson You have 80 minutes to complete this exam. Please read the questions carefully. There some useful equations and a periodic table on the last 2 pages of the exam. Please write legibly and show your work to receive credit for your answers. Partial marks may in some cases be awarded for partially correct work. Question Mark Question Mark 1 / 10 6 / 5 2 / 8 7 / 12 3 / 3 8 / 10 4 / 5 9 / 4 5 / 2 Total /59
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2 1. (10 points) In class, we looked at a one-dimensional particle in a box with infinite potential energy walls and length of a. (a) An excited state electron in this one-dimensional box of length 1.80 nm has a value of 4 for n. Sketch the wave function, , and the probability function, , for this quantum level. (b) As this particle falls to the ground state, light is emitted. What is the energy of this light? First notice that this is a particle in a box not a hydrogen atom. We do not use the Balmer equation! Also note that the ground state of the electron is n = 1 E = 2 9 31 2 34 2 2 2 2 ) 10 80 . 1 )( 10 11 . 9 )( 8 ( ) 10 626 . 6 ( 4 8 m kg s J ma h n E =(excited - ground state) energy = 2 9 31 2 34 2 2 2 2 2 2 ) 10 80 . 1 )( 10 11 . 9 )( 8 ( ) 10 626 . 6 )( 1 16 ( 8 1 8 4 m kg s J ma h ma h E = 2.78 x 10 -19 J This value corresponds to the energy difference between the n = 1 and 4 states E =h = hc/ = 2.78 x 10 -19 J  hc  = 6.626 x 10 -34 Js (3x10 8 m/s)/ 2.78 x 10 -19 J = 715 nm (c) What is the probability of finding the electron at x = a/2? What value of a has the maximum probability of finding the electron?
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This note was uploaded on 01/22/2011 for the course CHM 2311 taught by Professor Richardson during the Winter '09 term at University of Ottawa.

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Midterm 1 2010 - Full Name: _ Student Number: _ Seat...

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