
Concept explainers
(a)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is zero.
Explanation of Solution
The given compound is
This compound has all single bonds and is a saturated compound. There are no double bonds, triple bonds, or rings in the molecule. Each carbon atom is bonded to four other atoms via single bonds. Thus, the index of hydrogen deficiency for this compound is zero.
The index of hydrogen deficiency for a saturated compound is zero.
(b)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is one.
Explanation of Solution
The given compound is
The given compound has one double bond in its structure. Each double bond contributes 1 to the index of hydrogen deficiency. The given structure does not contain triple bonds and rings. Thus, for this compound, the index of hydrogen deficiency is 1.
The index of hydrogen deficiency for an unsaturated compound depends on the number of double bonds, triple bonds, and rings in its structure.
(c)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is three.
Explanation of Solution
The given compound is
The given compound has one triple bond in its structure. Each triple bond contributes 2 to the index of hydrogen deficiency. There is one ring in the structure. Each ring contributes 1 to the index of hydrogen deficiency. Thus, for this compound, the index of hydrogen deficiency is
The index of hydrogen deficiency for an unsaturated compound depends on the number of double bonds, triple bonds, and rings in its structure.
(d)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is four.
Explanation of Solution
The given compound is
The given compound has one ring in its structure. Each ring contributes 1 to the index of hydrogen deficiency. There are three double bonds in the structure. Each double bond contributes 1 to the index of hydrogen deficiency. Thus, the index of hydrogen deficiency for this compound is
The index of hydrogen deficiency for an unsaturated compound depends on the number of double bonds, triple bonds, and rings in its structure.
(e)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is one.
Explanation of Solution
The given compound is
The given compound has one ring in its structure. Each ring contributes 1 to the index of hydrogen deficiency. There are no double bonds and triple bonds in the structure. Thus, the index of hydrogen deficiency for this compound is 1.
The index of hydrogen deficiency for an unsaturated compound depends on the number of double bonds, triple bonds, and rings in its structure.
(f)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is four.
Explanation of Solution
The given compound is
The given compound has two rings in its structure. Each ring contributes 1 to the index of hydrogen deficiency. There are two double bonds in the structure. Each double bond contributes 1 to the index of hydrogen deficiency. Thus, the index of hydrogen deficiency for this compound is
The index of hydrogen deficiency for an unsaturated compound depends on the number of double bonds, triple bonds, and rings in its structure.
(g)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is five.
Explanation of Solution
The given compound is
The given compound has two rings in its structure. Each ring contributes 1 to the index of hydrogen deficiency. There are three double bonds in the structure. Each double bond contributes 1 to the index of hydrogen deficiency. Thus, the index of hydrogen deficiency for this compound is
The index of hydrogen deficiency for an unsaturated compound depends on the number of double bonds, triple bonds, and rings in its structure.
(h)
Interpretation:
The index of hydrogen deficiency for the given compound is to be determined.
Concept introduction:
The index of hydrogen deficiency of a molecule is the extent to which the molecule is unsaturated. It is half the number of hydrogen atoms missing from the molecule as compared to a completely saturated molecule. The contribution of each double bond in a molecule to the molecule’s index of hydrogen deficiency is 1. The contribution of each triple bond in a molecule to the molecule’s index of hydrogen deficiency is 2. The contribution of each ring in a molecule to the molecule’s index of hydrogen deficiency is 1. If a molecule is saturated and has no rings, double bonds, and triple bonds, its index of hydrogen deficiency is 0.

Answer to Problem 4.47P
The index of hydrogen deficiency for the given compound is five.
Explanation of Solution
The given compound is
The given compound has no rings in its structure. There is one double bond in the structure. Each double bond contributes 1 to the index of hydrogen deficiency. There are two triple bonds in the structure. Each triple bond contributes 2 to the index of hydrogen deficiency. Thus, the index of hydrogen deficiency for this compound is
The index of hydrogen deficiency for an unsaturated compound depends on the number of double bonds, triple bonds, and rings in its structure.
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Chapter 4 Solutions
Organic Chemistry: Principles and Mechanisms (Second Edition)
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