NVAEasyJEE 2025Classification & Functional Groups

JEE Chemistry 2025 Question with Solution

The sum of sigma (σ\sigma) and pi (π\pi) bonds in Hex-1,3-dien-5-yne is:

Answer

Correct answer:17

Step-by-step solution

Standard Method

Given: We need the sum of sigma (σ\sigma) and pi (π\pi) bonds in Hex-1,3-dien-5-yne.

Find: Total number of bonds present as the sum of sigma and pi bonds.

The solution gives the structure as

CH2=C(CH3)-C(H)=C(H)-CCH\text{CH}_2\text{=C}(\text{CH}_3)\text{-C}(\text{H})\text{=C}(\text{H})\text{-C}\equiv\text{CH}

Each double bond has 11 sigma bond and 11 pi bond, while each triple bond has 11 sigma bond and 22 pi bonds.

Counting all bonds in the given structure gives a total of 1717 bonds.

Therefore, the sum of sigma and pi bonds is 1717.

Bond-Type Counting Idea

Given: Count sigma and pi bonds separately for the given compound.

Find: The total σ+π\sigma + \pi bond count.

Use the bond-type rule:

  • Single bond \rightarrow only 1σ1\sigma
  • Double bond \rightarrow 1σ+1π1\sigma + 1\pi
  • Triple bond \rightarrow 1σ+2π1\sigma + 2\pi

The provided solution identifies the final total directly from the displayed structure and states that the total number of sigma and pi bonds is 1717.

Therefore, the required numerical value is 1717.

Common mistakes

  • Counting a double bond as two sigma bonds is incorrect because a double bond contains one sigma bond and one pi bond. Always split multiple bonds into their sigma and pi components before adding.

  • Counting a triple bond as three sigma bonds is wrong because a triple bond contains one sigma bond and two pi bonds. Treat bond multiplicity carefully instead of equating it directly with sigma bonds.

  • Ignoring bonds to hydrogen leads to an undercount because C-H\text{C-H} bonds are also sigma bonds. Include all single bonds attached to hydrogen in the total.

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