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Current Question (ID: 8011)
Question:
The correct order of increasing dipole moment is :
Options:
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1. $\text{CF}_4 < \text{NH}_3 < \text{NF}_3 < \text{H}_2\text{O}$
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2. $\text{CF}_4 < \text{NH}_3 < \text{H}_2\text{O} < \text{NF}_3$
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3. $\text{CF}_4 < \text{NF}_3 < \text{H}_2\text{O} < \text{NH}_3$
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4. $\text{CF}_4 < \text{NF}_3 < \text{NH}_3 < \text{H}_2\text{O}$
Solution:
To determine the correct order of increasing dipole moment, we need to analyze the molecular geometry and bond polarities of each molecule.
1. **$\text{CF}_4$ (Carbon Tetrafluoride):**
* Structure: Tetrahedral.
* Bond polarity: C-F bonds are polar due to the high electronegativity of fluorine.
* Overall polarity: Despite polar bonds, the symmetrical tetrahedral geometry causes all bond dipoles to cancel each other out, resulting in a zero dipole moment ($\mu = 0$).
2. **$\text{NF}_3$ (Nitrogen Trifluoride):**
* Structure: Trigonal pyramidal (due to one lone pair on nitrogen).
* Bond polarity: N-F bonds are polar (F is more electronegative than N). The bond dipoles point towards the fluorine atoms.
* Overall polarity: The lone pair on nitrogen contributes a dipole moment that opposes the resultant vector of the N-F bond dipoles. This leads to a relatively small net dipole moment ($\mu \approx 0.24 \text{ D}$). The bond moments are directed away from the lone pair, leading to partial cancellation.
3. **$\text{NH}_3$ (Ammonia):**
* Structure: Trigonal pyramidal (due to one lone pair on nitrogen).
* Bond polarity: N-H bonds are polar (N is more electronegative than H). The bond dipoles point towards the nitrogen atom.
* Overall polarity: Both the lone pair dipole and the resultant vector of the N-H bond dipoles point in the same general direction (towards the nitrogen atom). This leads to a significant net dipole moment ($\mu \approx 1.46 \text{ D}$). The bond moments add up to the lone pair moment.
4. **$\text{H}_2\text{O}$ (Water):**
* Structure: Bent (V-shaped) due to two lone pairs on oxygen.
* Bond polarity: O-H bonds are highly polar (O is much more electronegative than H). The bond dipoles point towards the oxygen atom.
* Overall polarity: The bent shape and the significant electronegativity difference, combined with the contribution from two lone pairs on oxygen, result in a large net dipole moment ($\mu \approx 1.85 \text{ D}$). The bond moments and lone pair moments reinforce each other.
Comparing the dipole moments:
* $\text{CF}_4 = 0 \text{ D}$
* $\text{NF}_3 \approx 0.24 \text{ D}$
* $\text{NH}_3 \approx 1.46 \text{ D}$
* $\text{H}_2\text{O} \approx 1.85 \text{ D}$
Therefore, the increasing order of dipole moment is: $\text{CF}_4 < \text{NF}_3 < \text{NH}_3 < \text{H}_2\text{O}$.
The correct answer is Option 4.
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