# Midterm 1 2009 Answers - Full Name: _ Student Number: _...

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1 Full Name: ________________________ Seat Number: _________ Student Number: ___________________ CHM 2311 Midterm 1 February 26, 2009 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 / 2 2 / 6 7 / 5 3 / 5 8 / 12 4 / 3 9 / 8 5 / 3 10 / 6 Total /60

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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) A ground state electron in a one-dimensional box absorbs 1480 nm light. The box has a length of 1.34 nm. What is the value of n for this excited particle? 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 Energy of 1480 nm light using E =h = hc/ = 6.626 x 10 -34 Js (3x10 8 m/s)/1480 x 10 -9 m E = 1.34 x 10 -19 J This value corresponds to the energy difference between the n = 1 and n state Now we need to calculate the value of n using this energy: 2 34 2 9 31 19 2 2 2 ) 10 626 . 6 ( ) 10 34 . 1 )( 10 11 . 9 )( 8 )( 10 34 . 1 ( 8 s J m kg J h ma E n n 2 = 4.0 n = 2 (b) Sketch the wave function, , and the probability function, , for the quantum level, n, found in part (a) above. (c) What value(s) of x correspond to a minimum probability for the electron? At the values 0 and a Also at the value a/2 Psi Squared Psi
3 2. (6 points) After the particle in a box, we moved to solutions of the Schrödinger equation in three dimensions and obtained 3 quantum numbers.

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## This note was uploaded on 01/22/2011 for the course CHEM 2333 taught by Professor Mezl during the Winter '09 term at University of Ottawa.

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Midterm 1 2009 Answers - Full Name: _ Student Number: _...

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