Concept explainers
(a)
Interpretation:
The value of
Concept introduction:
Different linearly independent wavefunctions that have same energy are called degenerate. This is expressed in terms of degeneracy. If two functions are having same energy then they are called doubly degenerate and so on. The degeneracy for nuclear state is given as,
Where,
•
Answer to Problem 18.1E
The value of
Explanation of Solution
From Appendix
The nuclear spin of
The degeneracy for nuclear state is given as,
Where,
•
Substitute the value of
The partition function for nucleus is given as,
Substitute the value of
Therefore, the value of
The value of
(b)
Interpretation:
The value of
Concept introduction:
Different linearly independent wavefunctions that have same energy are called degenerate. This is expressed in terms of degeneracy. If two functions are having same energy then they are called doubly degenerate and so on. The degeneracy for nuclear state is given as,
Where,
•
Answer to Problem 18.1E
The value of
Explanation of Solution
From Appendix
The nuclear spin of
The degeneracy for nuclear state is given as,
Where,
•
Substitute the value of
The partition function for nucleus is given as,
Substitute the value of
Therefore, the value of
The value of
(c)
Interpretation:
The value of
Concept introduction:
Different linearly independent wavefunctions that have same energy are called degenerate. This is expressed in terms of degeneracy. If two functions are having same energy then they are called doubly degenerate and so on. The degeneracy for nuclear state is given as,
Where,
•
Answer to Problem 18.1E
The value of
Explanation of Solution
From Appendix
The nuclear spin of
The degeneracy for nuclear state is given as,
Where,
•
Substitute the value of
The partition function for nucleus is given as,
Substitute the value of
Therefore, the value of
Hydrogen is the only atom that has no neutrons in its nucleus. Therefore, the nuclear degeneracy of
The value of
(d)
Interpretation:
The value of
Concept introduction:
Different linearly independent wavefunctions that have same energy are called degenerate. This is expressed in terms of degeneracy. If two functions are having same energy then they are called doubly degenerate and so on. The degeneracy for nuclear state is given as,
Where,
•
Answer to Problem 18.1E
The value of
Explanation of Solution
From Appendix
The nuclear spin of
The degeneracy for nuclear state is given as,
Where,
•
Substitute the value of
The partition function for nucleus is given as,
Substitute the value of
Therefore, the value of
A deuterium atom contains one proton and one neutron. The spin of proton and neutron does not cancel each other but combines with each other. Therefore, the nuclear degeneracy of deuterium atom is due to the presence of a proton and a neutron.
The value of
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Chapter 18 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
- 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
- Predict the major products of this organic reaction: OH NaBH4 H ? CH3OH 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. ☐ : Sarrow_forwardPredict the major products of this organic reaction: 1. LIAIHA 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. X : ☐arrow_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 tu ? ? OH Will the first product that forms in this reaction create a new CC bond? Yes No Will the first product that forms in this reaction create a new CC bond? Yes No C $ ©arrow_forward
- As the lead product manager at OrganometALEKS Industries, you are trying to decide if the following reaction will make a molecule with a new C-C bond as its major product: 1. MgCl ? 2. H₂O* If this reaction will work, draw the major organic product or products you would expect in the drawing area below. If there's more than one major product, you can draw them in any arrangement you like. Be sure you use wedge and dash bonds if necessary, for example to distinguish between major products with different stereochemistry. If the major products of this reaction won't have a new CC bond, just check the box under the drawing area and leave it blank. Click and drag to start drawing a structure. This reaction will not make a product with a new CC bond. G marrow_forwardIncluding activity coefficients, find [Hg22+] in saturated Hg2Br2 in 0.00100 M NH4 Ksp Hg2Br2 = 5.6×10-23.arrow_forwardgive example for the following(by equation) a. Converting a water insoluble compound to a soluble one. b. Diazotization reaction form diazonium salt c. coupling reaction of a diazonium salt d. indacator properties of MO e. Diazotization ( diazonium salt of bromobenzene)arrow_forward
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