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Animated Solution for Chemistry - Organic Chemistry: Which of the following has the shortest bond?

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Visualized Solution

  • :
  • : \text{Strong } -R \text{ and } -I \text{ effect}$
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  • : \text{No effect}$

The Sigma Insight: Bond Fission, Electronic Displacement and Hyperconjugation

Solution Diagram

The Anatomy of a Bond

Imagine a tug-of-war between two atoms sharing a pair of electrons. In a simple single bond, the electrons are shared relatively equally, and the bond has a standard, predictable length. But what happens when the molecules aren't so simple? What if there's a network of alternating single and double bonds? This is where the magic of resonance comes into play.
In our problem, we are asked to find the molecule with the shortest carbon-chlorine () bond. At first glance, all four options feature a chlorine atom attached to a carbon-carbon double bond. This specific arrangement is known as a vinylic chloride system. Because the chlorine atom possesses lone pairs of electrons, it isn't just a passive bystander; it can actively participate in the electron dance of the adjacent double bond.

The Power of Resonance

To understand bond length, we must understand bond order. A pure single bond is the longest, a double bond is shorter, and a triple bond is the shortest. If a single bond can somehow acquire partial double bond character, it will shrink in length.
How does it acquire this character? Through resonance! The lone pair on the chlorine atom can delocalize, moving towards the adjacent carbon atom to form a temporary double bond.
The more stable this resonance structure is, the more time the molecule spends in this state, and the greater the double bond character of the bond. Therefore, our goal is to find the molecule that encourages this resonance the most.

The Nitro Group's Pull

Let's evaluate the substituent at the other end of the double bond in each option: - In option (a), we have a methyl group (), which is electron-donating via the effect. It pushes electrons into the system, opposing the flow from chlorine. - In option (c), we have a methoxy group (), which is strongly electron-donating via the effect. This creates a severe clash of electron flow (cross-conjugation), drastically reducing the resonance from chlorine. - In option (d), we just have a hydrogen atom, which is neutral. - But in option (b), we have a nitro group ().
The nitro group is an absolute powerhouse. It is one of the strongest electron-withdrawing groups in organic chemistry, exerting both a strong (inductive) and a powerful (resonance) effect.

The Final Verdict

When chlorine tries to donate its lone pair into the double bond, the nitro group acts like a vacuum, eagerly pulling those electrons all the way across the molecule.
This extended, highly favorable conjugation means the resonance structure where is a double bond is exceptionally stable. Consequently, the bond in possesses the maximum double bond character among all the choices.
More double bond character directly translates to a shorter, stronger bond. Thus, the molecule with the shortest bond is undoubtedly the one with the nitro group.

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Comprehension Passage

The amount of energy required to break a bond is same as the amount of energy released when the same bond is formed. In gaseous state, the energy required for homolytic cleavage of a bond is called Bond Dissociation Energy (BDE) or Bond Strength. BDE is affected by -character of the bond and the stability of the radicals formed. Shorter bonds are typically stronger bonds. BDEs for some bonds are given below:
Question 1:

Correct match of the bonds (shown in bold) in Column J with their BDE in Column K is

(A)
P -- iii, Q -- iv, R -- ii, S -- i
(B)
P -- i, Q -- ii, R -- iii, S -- iv
(C)
P -- iii, Q -- ii, R -- i, S -- iv
(D)
P -- ii, Q -- i, R -- iv, S -- iii
Question 2:

For the following reaction the correct statement is

(A)
Initiation step is exothermic with .
(B)
Propagation step involving formation is exothermic with .
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Propagation step involving formation is endothermic with .
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The reaction is exothermic with .
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