Question:

The decreasing order of C--X bond length in \(CH_3-X\) is

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Bond length increases with increasing atomic size. Since iodine is the largest halogen, C--I bond is the longest among methyl halides.
  • \(CH_3I > CH_3Br > CH_3Cl > CH_3F\)
  • \(CH_3F > CH_3Cl > CH_3Br > CH_3I\)
  • \(CH_3F > CH_3Cl > CH_3I > CH_3Br\)
  • \(CH_3I > CH_3Cl > CH_3F > CH_3Br\)
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The Correct Option is A

Solution and Explanation

Concept: Bond length depends mainly upon the size of the bonded atoms. As atomic radius increases, bond length also increases. The halogen atomic radii follow the order: \[ F < Cl < Br < I \] Therefore, the carbon-halogen bond length increases as the size of halogen increases.

Step 1:
Compare the sizes of halogens. The atomic sizes are: \[ F < Cl < Br < I \] Iodine is the largest halogen while fluorine is the smallest.

Step 2:
Relate size to bond length. Larger halogen atoms form longer bonds with carbon. Hence: \[ C-I > C-Br > C-Cl > C-F \]

Step 3:
Write the decreasing order. Thus, \[ CH_3I > CH_3Br > CH_3Cl > CH_3F \] Therefore the correct option is \[ \boxed{(a)} \]
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