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Chang and Thoman - Physical Chemistry 1/e (Homework)

James Finch

Chemistry - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 33.8 / 40

Due : Thursday, September 5, 2019 06:30 EDT

Last Saved : n/a Saving...  ()

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–/5 –/21 –/3 –/2 –/1 –/2 –/5 –/1
Total
33.8/40 (84.5%)

  • Instructions

    WebAssign is proud to be the exclusive online homework system for the Physical Chemistry for the Chemical Sciences, 1st edition, written by Chang and Thoman and published by University Science Books.

    Below is a selection of questions related to chemical composition and stoichiometry that shows some of the capabilities of WebAssign. Many problems showcase the different randomizations that can be performed (shown in red) and modes for student responses.

    Question 1 (10.P.035.dv.) shows a step-by-step derivation, highlighting WebAssign’s advanced mathematics capabilities. Derivation questions have a ".dv" suffix to make them easy to locate when creating assignments.

    Question 2 (10.10.004.XP.) shows many multiple-choice questions combined into one larger question to prevent student guessing.

    Question 3 (10.P.043.) shows numeric grading with significant figures and how it can work with scientific notation.

    Questions 4 (12.8.006.XP.) and 5 (13.5.003.XP.) show our chemPad tool that is used for chemical symbols, term symbols, and other chemistry-specific entries.

    Question 6 (13.5.007.XP.) shows how fill-in-the-blank answers can be used to accept name or symbol designations.

    Question 7 (10.P.028.) highlights the ability to randomize mathematical expressions in addition to numerical values.

    Question 8 (10.7.011.XP.) shows a multiple-select question, that lets students choose multiple answers.

    View the complete list of WebAssign questions available for this textbook. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

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Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. –/5 points ChangPChem1 10.P.035.dv. My Notes
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–/5
 
This question has several parts that must be completed sequentially.

Derivation
An important property of the wave functions of the particle in a one-dimensional box is that they are orthogonal; that is,
  ψn*ψm dτ
all space
 = 0    m ≠ n
or specifically for the particle in a one-dimensional box,
L ψnψm dx
0
 = 0    m ≠ n
Prove this statement using ψ1 and ψ2 and
ψn(x) = 
2
L
1/2
 
sin
nπx
L
.
Step 1 of 3
Define ψ1 and ψ2 by substituting for n in the given equation. (Use the following as necessary: L and x.)
ψ1 = (No Response)
ψ2 = (No Response)


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2. –/21 points ChangPChem1 10.10.004.XP. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
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–/21
 
Many proteins contain metal porphyrin molecules. The general structure of the porphyrin molecule is
This molecule is planar and so we can approximate the π electrons as being confined inside a square. What are the energy levels and degeneracies of a particle in a square of side a?
Energy Level (E##) Degeneracy
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)
(No Response) (No Response)

The porphyrin molecule has 18 π electrons. If we approximate the length of the molecule by 1070. pm, then what is the predicted lowest energy absorption of the porphyrin molecule? (The experimental value is ≈ 17000 cm−1 for a length of 1000 pm.)
v tilde = WebAssign will check your answer for the correct number of significant figures.(No Response) cm−1

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3. –/3 points ChangPChem1 10.P.043. My Notes
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1 2 3
–/1 –/1 –/1
0/50 0/50 0/50
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–/3
 
Calculate the speed of an electron moving in a 166-pm diameter ring with quantum number
m = 0, 1, and 2.
m = 0
     		WebAssign will check your answer for the correct number of significant figures.(No Response) m/s
m = 1
     		WebAssign will check your answer for the correct number of significant figures.(No Response) m/s
m = 2
     		WebAssign will check your answer for the correct number of significant figures.(No Response) m/s

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4. –/2 points ChangPChem1 12.8.006.XP. My Notes
Question Part
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–/2
 
Determine the electron configuration of a cesium atom in its ground state, and its ground-state term symbol. (Atomic electron configurations take the general form: 1s2 2s2 2p5.)
Electron configuration:

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Term symbol:

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5. –/1 points ChangPChem1 13.5.003.XP. My Notes
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–/1
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–/1
 
Predict the relative stabilities of the species O2, O2+, and O2−. (Use the appropriate <, =, or > symbol to separate substances in the list.)

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6. –/2 points ChangPChem1 13.5.007.XP. My Notes
Question Part
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1 2
–/1 –/1
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–/2
 
Determine the smallest bond order for a first-row transition-metal homonuclear diatomic molecule.
The homonuclear diatomic form of first-row transition-metal (No Response) has the smallest bond order, (No Response) .

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7. –/5 points ChangPChem1 10.P.028. My Notes
Question Part
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–/5
 
Which of the following pairs of functions are orthogonal over the interval indicated?
(a)    
f(x) = sin(x) and g(x) = cos(x)      [−∞, ∞]
    

(b)    
f(x) = sin(x) and g(x) = cos(x)      [0,
3
4
π]
    

(c)    
f(x) = eiπx and g(x) = ei6πx      [−1, 1]
    

(d)    
f(x) = eiπx and g(x) = e−iπx      [−1, 1]
    

(e)    
f(x) = ix and g(x) = −ix      [−4, 4]
    

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8. –/1 points ChangPChem1 10.7.011.XP. My Notes
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1
–/1
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–/1
 
Specify which of the following operators are Hermitian:
i d/dx, d2/dx2, and i d2/dx2.
 Assume that
−∞ < x < ∞
 and that the functions on which these operators operate are appropriately well behaved at infinity. (Select all that apply.)

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