Organic Chemistry – Some Basic Principles and TechniquesClass 11 Chemistry NCERT Solutions

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Q1Chapter Problems

How many σ\sigma and π\pi bonds are present in each of the following molecules?

(a)
HC≡CCH=CHCH3\mathrm{HC} \equiv \mathrm{CCH}=\mathrm{CHCH}_{3}
(b)
CH2=C=CHCH3\mathrm{CH}_{2}=\mathrm{C}=\mathrm{CHCH}_{3}

Solution

To Find: The number of sigma (σ\sigma) and pi (π\pi) bonds in the given molecules.
Solution: To find the number of σ\sigma and π\pi bonds, we can draw the complete structural formula for each molecule. Remember that:
  • A single bond contains 1 σ\sigma bond.
  • A double bond contains 1 σ\sigma bond and 1 π\pi bond.
  • A triple bond contains 1 σ\sigma bond and 2 π\pi bonds.
(a) HC≡CCH=CHCH3\mathrm{HC} \equiv \mathrm{CCH}=\mathrm{CHCH}_{3} (Pent-3-en-1-yne)
The expanded structure is:
  H   H   H
  |   |   |
H-C≡\equivC-C=C-C-H | | H H
  • Sigma (σ\sigma) bonds:
    • C-H bonds: There are 6 C-H single bonds.
    • C-C bonds: There is 1 C≡\equivC bond, 1 C-C single bond, and 1 C=C bond. Each of these contains one σ\sigma bond. So, there are 4 C-C sigma bonds in total.
    • Total σ\sigma bonds = (Number of C-H bonds) + (Number of C-C bonds) = 6 + 4 = 10.
  • Pi (π\pi) bonds:
    • The C≡\equivC triple bond contains 2 π\pi bonds.
    • The C=C double bond contains 1 π\pi bond.
    • Total π\pi bonds = 2 + 1 = 3.
(b) CH2=C=CHCH3\mathrm{CH}_{2}=\mathrm{C}=\mathrm{CHCH}_{3} (Buta-1,2-diene)
The expanded structure is:
H       H
|       |
H-C=C=C-C-H | | | H H H
  • Sigma (σ\sigma) bonds:
    • C-H bonds: There are 6 C-H single bonds.
    • C-C bonds: There are two C=C double bonds and one C-C single bond. This gives a total of 3 C-C sigma bonds.
    • Total σ\sigma bonds = (Number of C-H bonds) + (Number of C-C bonds) = 6 + 3 = 9.
  • Pi (π\pi) bonds:
    • Each of the two C=C double bonds contains 1 π\pi bond.
    • Total π\pi bonds = 1 + 1 = 2.
Final Answer: (a) The molecule HC≡CCH=CHCH3\mathrm{HC} \equiv \mathrm{CCH}=\mathrm{CHCH}_{3} has 10 σ\sigma bonds and 3 π\pi bonds. (b) The molecule CH2=C=CHCH3\mathrm{CH}_{2}=\mathrm{C}=\mathrm{CHCH}_{3} has 9 σ\sigma bonds and 2 π\pi bonds.