(a)
Interpretation:
The most populated rotational level for a sample of
Concept introduction:
An electronic state of energy has its own vibrational states. The energy between the electronic states is large followed by vibrational states and then rotational states. During an electronic transition, electron from ground state moves straight to the excited state keeping the internuclear distance constant. This is known as the Franck-Condon principle.

Answer to Problem 14.32E
The most populated rotational level for a sample of
Explanation of Solution
The most populated rotational level is calculated by the formula as shown below.
Where,
•
•
•
The rotational constant is calculated by the formula as shown below.
Where,
•
•
•
The reduced mass is calculated by the formula as shown below.
Where,
•
•
Substitute the value of mass of lithium and hydrogen in equation (3).
Convert
Substitute the value of reduced mass, bond length, Planck’s constant in equation (2).
Substitute the value of rotational constant, Boltzmann’s constant and
Therefore, the most populated rotational level for a sample of
the most populated rotational level for a sample of
(b)
Interpretation:
The most populated rotational level for a sample of
Concept introduction:
An electronic state of energy has its own vibrational states. The energy between the electronic states is large followed by vibrational states and then rotational states. During an electronic transition, electron from ground state moves straight to the excited state keeping the internuclear distance constant. This is known as the Franck-Condon principle.

Answer to Problem 14.32E
The most populated rotational level for a sample of
Explanation of Solution
The most populated rotational level is calculated by the formula as shown below.
Where,
•
•
•
The rotational constant is calculated by the formula as shown below.
Where,
•
•
•
The reduced mass is calculated by the formula as shown below.
Where,
•
•
Substitute the value of mass of lithium and hydrogen in equation (3).
Convert
Substitute the value of reduced mass, bond length, Planck’s constant in equation (2).
Substitute the value of rotational constant, Boltzmann’s constant and
Therefore, the most populated rotational level for a sample of
The most populated rotational level for a sample of
(c)
Interpretation:
The most populated rotational level for a sample of
Concept introduction:
An electronic state of energy has its own vibrational states. The energy between the electronic states is large followed by vibrational states and then rotational states. During an electronic transition, electron from ground state moves straight to the excited state keeping the internuclear distance constant. This is known as the Franck-Condon principle.

Answer to Problem 14.32E
The most populated rotational level for a sample of
Explanation of Solution
The most populated rotational level is calculated by the formula as shown below.
Where,
•
•
•
The rotational constant is calculated by the formula as shown below.
Where,
•
•
•
The reduced mass is calculated by the formula as shown below.
Where,
•
•
Substitute the value of mass of lithium and hydrogen in equation (3).
Convert
Substitute the value of reduced mass, bond length, Planck’s constant in equation (2).
Substitute the value of rotational constant, Boltzmann’s constant and
Therefore, the most populated rotational level for a sample of
The most populated rotational level for a sample of
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Chapter 14 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
- Draw the major products of this SN1 reaction. Ignore any inorganic byproducts.arrow_forwardDraw the major elimination and substitution products formed in this reaction. Use a dash or wedge bond to indicate the stereochemistry of substituents on asymmetric centers, wehre applicable. Ignore and inorganic byproducts.arrow_forwardCurved arrows are used to illustrate the flow of electrons. Using the provided starting and product structures, draw the curved electron-pushing arrows for the following reaction or mechanistic step(s). Be sure to account for all bond-breaking and bond-making steps. Drawing Arrows THE Problem 33 of 35 N. C:0 Na + Submit Drag To Pan +arrow_forward
- Draw the product of the E2 reaction shown below. Include the correct stereochemistry. Ignore and inorganic byproducts.arrow_forwardDraw the major producrs of this SN1 reaction. Ignore any inorganic byproducts. Use a dash or wedge bond to indicate the sereochemistry of substituents on asymmetric centers where appllicable.arrow_forward5) Oxaloacetic Acid is an important intermediate in the biosynthesis of citric acid. Synthesize oxaloacetic acid using a mixed Claisen Condensation reaction with two different esters and a sodium ethoxide base. Give your answer as a scheme Hint 1: Your final acid product is producing using a decarboxylation reaction. Hint 2: Look up the structure of oxalic acid. HO all OH oxaloacetic acidarrow_forward
- 20. The Brusselator. This hypothetical system was first proposed by a group work- ing in Brussels [see Prigogine and Lefever (1968)] in connection with spatially nonuniform chemical patterns. Because certain steps involve trimolecular reac tions, it is not a model of any real chemical system but rather a prototype that has been studied extensively. The reaction steps are A-X. B+X-Y+D. 2X+ Y-3X, X-E. 305 It is assumed that concentrations of A, B, D, and E are kept artificially con stant so that only X and Y vary with time. (a) Show that if all rate constants are chosen appropriately, the equations de scribing a Brusselator are: dt A-(B+ 1)x + x²y, dy =Bx-x²y. diarrow_forwardProblem 3. Provide a mechanism for the following transformation: H₂SO A Me. Me Me Me Mearrow_forwardYou are trying to decide if there is a single reagent you can add that will make the following synthesis possible without any other major side products: xi 1. ☑ 2. H₂O хе i Draw the missing reagent X you think will make this synthesis work in the drawing area below. If there is no reagent that will make your desired product in good yield or without complications, just check the box under the drawing area and leave it blank. Click and drag to start drawing a structure. There is no reagent that will make this synthesis work without complications. : ☐ S ☐arrow_forward
- Predict the major products of this organic reaction: H OH 1. LiAlH4 2. H₂O ? Note: be sure you use dash and wedge bonds when necessary, for example to distinguish between major products with different stereochemistry. Click and drag to start drawing a structure. G C टेarrow_forwardFor each reaction below, decide if the first stable organic product that forms in solution will create a new C-C bond, and check the appropriate box. Next, for each reaction to which you answered "Yes" to in the table, draw this product in the drawing area below. Note for advanced students: for this problem, don't worry if you think this product will continue to react under the current conditions - just focus on the first stable product you expect to form in solution. NH2 CI MgCl ? Will the first product that forms in this reaction create a new CC bond? Yes No MgBr ? Will the first product that forms in this reaction create a new CC bond? Yes No G टेarrow_forwardFor each reaction below, decide if the first stable organic product that forms in solution will create a new CC bond, and check the appropriate box. Next, for each reaction to which you answered "Yes" to in the table, draw this product in the drawing area below. Note for advanced students: for this problem, don't worry if you think this product will continue to react under the current conditions - just focus on the first stable product you expect to form in solution. དྲ。 ✗MgBr ? O CI Will the first product that forms in this reaction create a new C-C bond? Yes No • ? Will the first product that forms in this reaction create a new CC bond? Yes No × : ☐ Xarrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
