Organic Chemistry
Organic Chemistry
9th Edition
ISBN: 9781305080485
Author: John E. McMurry
Publisher: Cengage Learning
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Chapter 7.SE, Problem 67AP
Interpretation Introduction

a) Cholesterol, C27H46O

Interpretation:

The degree of unsaturation in cholesterol, C27H46O, is to be calculated.

Concept introduction:

The degree of unsaturation is equal to the number of rings and/or multiple bonds present in the molecule. The general formula of alkanes is CnH2n+2. Knowing this relationship and by working backward the degree of unsaturation in a molecule can be calculated. Each ring or a double bond in a molecule corresponds to a loss of two hydrogens from the formula of alkane. If the compound contains halogens, oxygen and/or nitrogen, then the number of halogens is to be added to the number of hydrogens, the number of oxygens to be ignored and number of the nitrogens is to be subtracted, in arriving at an equivalent hydrocarbon formula.

To calculate:

The degree of unsaturation in cholesterol with molecular formula C27H46O.

Expert Solution
Check Mark

Answer to Problem 67AP

The degree of unsaturation in cholesterol with molecular formula C27H46O is 5.

Explanation of Solution

Molecular formula of cholesterol is C27H46O. If oxygens are ignored the formula becomes C27H46. A hydrocarbon with twenty seven carbons will have the molecular formula C27H56. The compound given has five pairs of hydrogens (H56-H46=10) less. So its degree of unsaturation is 5.

Conclusion

The degree of unsaturation in cholesterol with molecular formula C27H46O is 5.

Interpretation Introduction

b) DDT, C14H9Cl5

Interpretation:

The degree of unsaturation in DDT, C14H9Cl5 is to be calculated and to draw five possible structures with this formula.

Concept introduction:

The degree of unsaturation is equal to the number of rings and/or multiple bonds present in the molecule. The general formula of alkanes is CnH2n+2. Knowing this relationship and by working backward the degree of unsaturation in a molecule can be calculated. Each ring or a double bond in a molecule corresponds to a loss of two hydrogens from the formula of alkane. If the compound contains halogens, oxygen and/or nitrogen, then the number of halogens is to be added to the number of hydrogens, the number of oxygens to be ignored and number of the nitrogens is to be subtracted, in arriving at an equivalent hydrocarbon formula.

To calculate:

The degree of unsaturation in DDT with molecular formula C14H9Cl5.

Expert Solution
Check Mark

Answer to Problem 67AP

The degree of unsaturation in DDT with molecular formula C14H9Cl5 is 8.

Explanation of Solution

Molecular formula of DDT is C14H9Cl5. Adding five hydrogens for five chlorines, we get the formula as C14H14. A hydrocarbon with fourteen carbons will have the molecular formula C14H30. The compound given has eight pairs of hydrogens (H30-H14=16) less. So its degree of unsaturation is 8.

Conclusion

The degree of unsaturation in DDTwith molecular formula C14H9Cl5 is 8.

Interpretation Introduction

c) Prostaglandin E1, C20H34O5

Interpretation:

The degree of unsaturation in prostaglandin E1, C20H34O5 is to be calculated.

Concept introduction:

The degree of unsaturation is equal to the number of rings and/or multiple bonds present in the molecule. The general formula of alkanes is CnH2n+2. Knowing this relationship and by working backward the degree of unsaturation in a molecule can be calculated. Each ring or a double bond in a molecule corresponds to a loss of two hydrogens from the formula of alkane. If the compound contains halogens, oxygen and/or nitrogen, then the number of halogens is to be added to the number of hydrogens, the number of oxygens to be ignored and number of the nitrogens is to be subtracted, in arriving at an equivalent hydrocarbon formula.

To calculate:

The degree of unsaturation in prostaglandin E1 with molecular formula C20H34O5.

Expert Solution
Check Mark

Answer to Problem 67AP

The degree of unsaturation in prostaglandin E1 with molecular formula C20H34O5 is 4.

Explanation of Solution

Molecular formula of porostaglandin E1 is C20H34O5. If oxygens are ignored the formula becomes C20H34. A hydrocarbon with twenty carbons will have the molecular formula C20H42. The compound given has four pairs of hydrogens (H42-H34=8) less. So its degree of unsaturation is 4.

Conclusion

The degree of unsaturation in prostaglandin E1 with molecular formula C20H34O5 is 4.

Interpretation Introduction

d) Caffeine, C8H10N4O2

Interpretation:

The degree of unsaturation in caffeine, C8H10N4O2, is to be calculated.

Concept introduction:

The degree of unsaturation is equal to the number of rings and/or multiple bonds present in the molecule. The general formula of alkanes is CnH2n+2. Knowing this relationship and by working backward the degree of unsaturation in a molecule can be calculated. Each ring or a double bond in a molecule corresponds to a loss of two hydrogens from the formula of alkane. If the compound contains halogens, oxygen and/or nitrogen, then the number of halogens is to be added to the number of hydrogens, the number of oxygens to be ignored and number of the nitrogens is to be subtracted, in arriving at an equivalent hydrocarbon formula.

To calculate:

The degree of unsaturation in caffeine with molecular formula C8H10N4O2.

Expert Solution
Check Mark

Answer to Problem 67AP

The degree of unsaturation in caffeine with molecular formula C8H10N4O2 is 6.

Explanation of Solution

Molecular formula of caffeine is C8H10N4O2. If four hydrogens are subtracted for four nitrogens and oxygens are ignored the formula becomes C8H6. A hydrocarbon with eight carbons will have the molecular formula C8H18. The compound given has six pairs of hydrogens (H18-H6=12) less. So its degree of unsaturation is 6.

Conclusion:

The degree of unsaturation in caffeine with molecular formula C8H10N4O2 is 6.

Conclusion

The degree of unsaturation in caffeine with molecular formula C8H10N4O2 is 6.

Interpretation Introduction

e) Cortisone, C21H28O5

Interpretation:

The degree of unsaturation in cortisone, C21H28O5 is to be calculated.

Concept introduction:

The degree of unsaturation is equal to the number of rings and/or multiple bonds present in the molecule. The general formula of alkanes is CnH2n+2. Knowing this relationship and by working backward the degree of unsaturation in a molecule can be calculated. Each ring or a double bond in a molecule corresponds to a loss of two hydrogens from the formula of alkane. If the compound contains halogens, oxygen and/or nitrogen, then the number of halogens is to be added to the number of hydrogens, the number of oxygens to be ignored and number of the nitrogens is to be subtracted, in arriving at an equivalent hydrocarbon formula.

To calculate:

The degree of unsaturation in cortisone with molecular formula C21H28O5.

Expert Solution
Check Mark

Answer to Problem 67AP

The degree of unsaturation in cortisone with molecular formula C21H28O5 is 8.

Explanation of Solution

Molecular formula of cortisone is C21H28O5. If oxygens are ignored then the formula becomes C21H28. A hydrocarbon with twenty one carbons will have the molecular formula C21H44. The compound given has eight pairs of hydrogens (H44-H28=16) less. So its degree of unsaturation is 8.

Conclusion

The degree of unsaturation in cortisone with molecular formula C21H28O5 is 8.

Interpretation Introduction

f) Atropine, C17H23NO3

Interpretation:

The degree of unsaturation in atropine, C17H23NO3 is to be calculated.

Concept introduction:

The degree of unsaturation is equal to the number of rings and/or multiple bonds present in the molecule. The general formula of alkanes is CnH2n+2. Knowing this relationship and by working backward the degree of unsaturation in a molecule can be calculated. Each ring or a double bond in a molecule corresponds to a loss of two hydrogens from the formula of alkane. If the compound contains halogens, oxygen and/or nitrogen, then the number of halogens is to be added to the number of hydrogens, the number of oxygens to be ignored and number of the nitrogens is to be subtracted, in arriving at an equivalent hydrocarbon formula.

To calculate:

The degree of unsaturation in atropine with molecular formula C17H23NO3.

Expert Solution
Check Mark

Answer to Problem 67AP

The degree of unsaturation in atropine with molecular formula C17H23NO3 is 7.

Explanation of Solution

Molecular formula of atropine is C17H23NO3. If one hydrogen is subtracted for one nitrogen and oxygens are ignored the formula becomes C17H22. A hydrocarbon with seventeen carbons will have the molecular formula C17H36. The compound given has seven pairs of hydrogens (H36-H22=14) less. So its degree of unsaturation is 7.

Conclusion

The degree of unsaturation in atropine with molecular formula C17H23NO3 is 7.

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Chapter 7 Solutions

Organic Chemistry

Ch. 7.5 - Which member in each of the following sets ranks...Ch. 7.5 - Prob. 12PCh. 7.5 - Prob. 13PCh. 7.5 - Prob. 14PCh. 7.6 - Prob. 15PCh. 7.8 - Prob. 16PCh. 7.8 - Prob. 17PCh. 7.9 - Show the structures of the carbocation...Ch. 7.9 - Draw a skeletal structure of the following...Ch. 7.10 - Prob. 20PCh. 7.11 - On treatment with HBr, vinylcyclohexane undergoes...Ch. 7.SE - Prob. 22VCCh. 7.SE - Prob. 23VCCh. 7.SE - The following carbocation is an intermediate in...Ch. 7.SE - Prob. 25VCCh. 7.SE - Predict the major product and show the complete...Ch. 7.SE - Prob. 27MPCh. 7.SE - When 1, 3-butadiene reacts with one mole of HBr,...Ch. 7.SE - When methyl vinyl ether reacts with a strong acid,...Ch. 7.SE - Addition of HCl to 1-isopropylcyclohexene yields a...Ch. 7.SE - Addition of HCl to...Ch. 7.SE - Limonene, a fragrant hydrocarbon found in lemons...Ch. 7.SE - Prob. 33MPCh. 7.SE - Calculate the degree of unsaturation in the...Ch. 7.SE - Prob. 35APCh. 7.SE - Prob. 36APCh. 7.SE - Name the following alkenes:Ch. 7.SE - Draw structures corresponding to the following...Ch. 7.SE - Prob. 39APCh. 7.SE - Prob. 40APCh. 7.SE - Prob. 41APCh. 7.SE - Prob. 42APCh. 7.SE - Prob. 43APCh. 7.SE - Draw and name the 17 alkene isomers, C6H12,...Ch. 7.SE - Prob. 45APCh. 7.SE - Prob. 46APCh. 7.SE - Which of the following E, Z designations are...Ch. 7.SE - Prob. 48APCh. 7.SE - trans-2-Butene is more stable than cis-2-butene by...Ch. 7.SE - Prob. 50APCh. 7.SE - Normally, a trans alkene is more stable than its...Ch. 7.SE - trans-Cyclooctene is less stable than...Ch. 7.SE - Prob. 53APCh. 7.SE - Prob. 54APCh. 7.SE - Use Hammond’s Postulate to determine which...Ch. 7.SE - Prob. 56APCh. 7.SE - Predict the major product in each of the following...Ch. 7.SE - Prob. 58APCh. 7.SE - Prob. 59APCh. 7.SE - Prob. 60APCh. 7.SE - Allene (1,2-propadiene), H2C=C=CH2, has two...Ch. 7.SE - The heat of hydrogenation for allene (Problem...Ch. 7.SE - Retin A, or retinoic acid, is a medication...Ch. 7.SE - Prob. 64APCh. 7.SE - tert-Butyl esters [RC02C(CH3)3] are converted into...Ch. 7.SE - Vinylcyclopropane reacts with HBr to yield a...Ch. 7.SE - Prob. 67APCh. 7.SE - Prob. 68APCh. 7.SE - Prob. 69APCh. 7.SE - Prob. 70APCh. 7.SE - Prob. 71APCh. 7.SE - Reaction of 2, 3-dimethyl-l-butene with HBr leads...
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