Concept explainers
(a)
Interpretation:
The given wavefunction is to be normalized over the indicated range.
Concept introduction:
In

Answer to Problem 10.31E
The normalized wavefunction is
Explanation of Solution
The given wavefunction is
Assume the normalization constant of the wavefunction as
The normalization of given wavefunction is done by the formula,
Where,
•
•
Substitute the value of
Solve the above equation.
Only positive square root is taken for normalization constant. Therefore, the normalized wavefunction is
The normalized wavefunction is
(b)
Interpretation:
The given wavefunction is to be normalized over the indicated range.
Concept introduction:
In quantum mechanics, the wavefunction is given by

Answer to Problem 10.31E
The normalized wavefunction is
Explanation of Solution
The given wavefunction is
Assume the normalization constant of the wavefunction is
The normalization of given wavefunction is done by the formula,
Where,
•
•
Substitute the value of
Solve the above equation.
Only positive square root is taken for normalization constant. Therefore, the normalized wavefunction is
The normalized wavefunction is
(c)
Interpretation:
The given wavefunction is to be normalized over the indicated range.
Concept introduction:
In quantum mechanics, the wavefunction is given by

Answer to Problem 10.31E
The normalized wavefunction is
Explanation of Solution
The given wavefunction is
Assume the normalization constant of the wavefunction is
The normalization of given wavefunction is done by the formula,
Where,
•
•
Substitute the value of
Function
From Appendix 1,
From this relation, the above equation becomes,
Since
Only positive square root is taken for normalization constant. Therefore, the normalized wavefunction is
The normalized wavefunction is
(d)
Interpretation:
The given wavefunction is to be normalized over the indicated range.
Concept introduction:
In quantum mechanics, the wavefunction is given by

Answer to Problem 10.31E
The normalized wavefunction is
Explanation of Solution
The given wavefunction is
Assume the normalization constant of the wavefunction is
The normalization of given wavefunction is done by the formula,
Where,
•
•
Substitute the value of
Assume,
Substitute the value of
From Appendix 1,
From this relation, the above equation becomes,
Only positive square root is taken for normalization constant. Therefore, the normalized wavefunction is
The normalized wavefunction is
(e)
Interpretation:
The given wavefunction is to be normalized over the indicated range.
Concept introduction:
In quantum mechanics, the wavefunction is given by

Answer to Problem 10.31E
The normalized wavefunction is
Explanation of Solution
The given wavefunction is
Assume the normalization constant of the wavefunction is
The normalization of given wavefunction is done by the formula,
Where,
•
•
Substitute the value of
Assume,
Differentiate equation
Substitute value of
Substitute the value of
It is known that,
Using this relation, the above equation becomes,
From Appendix 1,
Using this relation, the above equation becomes,
Therefore, the normalized wavefunction is
The normalized wavefunction is
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Chapter 10 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
- Give the IUPAC name for this compound Hydrocarbon Condensed Formulas Hint C2H5 CH2CH3 expand that in all the formula Part A: (CH3)2CHCH(C2H5)CH2CH2CH3 Give the IUPAC name for this compound. Part B: CH2=C(C2H5)CH2CH2CH3 Give the IUPAC name for this compound. Part C: (CH3)2C=CHC(C2H5)=CH2 Give the IUPAC name for this compound. Part D: CH3C=CCH(C2H5)2 Give the IUPAC name for this compound. Part E: (CH3)3CC=CCH2CH=C(CH3)2arrow_forwardSelect/ Match the correct letter from the image below for the IUPAC names given below: A B C D 3 E F G H K L Part 1. 4-methylheptane For example.mmmm Answer Letter H _for part 1 Part 2. 2,4-dimethylhexane Part 3. 2,3-dimethylpentane Part 4. 2,2-dimethylhexane Part 5. 2-ethyl-1,1,3,3-tetramethylcyclopentane Part 6. 3-ethyl-2-methylpentanearrow_forwardCan u show the process as to how to get these?arrow_forward
- Sketch the expected 'H NMR spectra for the following compound. Label all of the H's in the structure and the corresponding signal for the spectra you sketch. Make sure you include the integration value and the splitting pattern for each signal Indicate how many signals you would expect in the 13C NMRarrow_forwardUse IUPAC naming rules to name the following hydrocarbon compounds: CH2-CH3 | a) CH-CH-CH2-CH-CH-CH3 b) | CH2 CH3 | CH3 CH3 \ / C=C H 1 H CH2-CH3 c) d) CH=C-CH3 e) CH3-CH2-CH2-CH=CH-CH3 f) CH2=CH-CH2-CH=CH-CH3 g) CH3-CH2-C = C-CH2-CH3 h)arrow_forwardQ5 Name the following : a. b. C. d. e.arrow_forward
- 25. Predict the major product of the following reaction. 1 equivalent of each of the starting materials was used. H₂C CH3 CH3 H3C H3C H3C. CH2 + H3C. heat CH3 CH H.C. CH3 H.C H.C CH3 CH CH3 CH3 A B C Earrow_forwardFind chemical structures based on the below information. a) Chemical formula C6H8O Compound is aromatic plus has two 1H NMR peaks that integrated for 3 each that are singlets (it could have more peaks in the 1H NMR b) Chemical Formula: C6H100 Compounds is conjugated 'H NMR has a signal that integrates for 6 and is a doublet IR spectra has a signal at 1730 cm-1arrow_forwardJaslev Propose a synthesis of the following starting from benzene and any other reagents and chemicals. No mechanisms are required. Indicate the condition for each step plus the major product for each step. More than two steps are required. Step 1 Step 2 مہد Brarrow_forward
- Part C: The line formula for another branched alkane is shown below. i. In the IUPAC system what is the root or base name of this compound? ii. How many alkyl substituents are attached to the longest chain? iii. Give the IUPAC name for this compound.arrow_forwardPart D: Draw the Structural Formula for 4-ethyl-2-methylhexane Part E. Draw the Structural Formula for 1-chloro-3,3-diethylpentane (Chloro = Cl)arrow_forwardPart B: The line formula for a branched alkane is shown below. a. What is the molecular formula of this compound? Number of C. Number of H b. How many carbon atoms are in the longest chain? c. How many alkyl substituents are attached to this chain?arrow_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage Learning
