
Which of the following functions are exact differentials?
(a)
(b)
(c)
(d)
(e)
(f)

(a)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,

(b)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,

(c)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,

(d)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,

(e)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,

(f)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,
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Chapter 4 Solutions
PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
- Predict the major products of this reaction: excess H+ NaOH ? A Note that the first reactant is used in excess, that is, there is much more of the first reactant than the second. If there won't be any products, just check the box under the drawing area instead. Explanation Check Click and drag to start drawing a structure. © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use Privarrow_forward1. For each of the reaction "railroads" below, you are either asked to give the structure(s) of the starting material(s) or product(s), or provide reagents/conditions to accomplish the transformation, as indicated by the boxes. a. NaOMe H+ .CO,H HO₂C MeOH (excess) MeOH H3C Br يع CH3 1. LiAlH4 2. H3O+ 3. PBг3 H3C 1. Et-Li 2. H3O+ -CO₂Me -CO₂Me OH CH3 CH3 ল CH3arrow_forwardPredict the intermediate 1 and final product 2 of this organic reaction: NaOMe ག1, ད།་, - + H You can draw 1 and 2 in any arrangement you like. 2 work up Note: if either 1 or 2 consists of a pair of enantiomers, just draw one structure using line bonds instead of 3D (dash and wedge) bonds at the chiral center. Explanation Check Click and drag to start drawing a structure. Х © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Parrow_forward
- What is the total energy cost associated with the compound below adopting the shown conformation? CH3 HH DH CH3arrow_forwardΗΝ, Draw Final Product C cyclohexanone pH 4-5 Edit Enamine H3O+ CH3CH2Br THF, reflux H Edit Iminium Ionarrow_forwardHow many hydrogen atoms are connected to the indicated carbon atom?arrow_forward
- Identify the compound with the longest carbon - nitrogen bond. O CH3CH2CH=NH O CH3CH2NH2 CH3CH2C=N CH3CH=NCH 3 The length of all the carbon-nitrogen bonds are the samearrow_forwardIdentify any polar covalent bonds in epichlorohydrin with S+ and 8- symbols in the appropriate locations. Choose the correct answer below. Η H's+ 6Η Η Η Η Η Ηδ Η Ο Ο HH +Η Η +Η Η Η -8+ CIarrow_forwardH H:O::::H H H HH H::O:D:D:H HH HH H:O:D:D:H .. HH H:O:D:D:H H H Select the correct Lewis dot structure for the following compound: CH3CH2OHarrow_forward
- Rank the following compounds in order of decreasing boiling point. ннннн -С-С-Н . н-с- ННННН H ΗΤΗ НННН TTTĪ н-с-с-с-с-о-н НННН НН C' Н н-с-с-с-с-н НН || Ш НННН H-C-C-C-C-N-H ННННН IVarrow_forwardRank the following compounds in order of decreasing dipole moment. |>||>||| ||>|||>| |>|||>|| |||>||>| O ||>>||| H F H F H c=c || H c=c F F IIIarrow_forwardchoose the description that best describes the geometry for the following charged species ch3-arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
