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a) Discuss the significance/applications...

a) Discuss the significance/applications of dipole moment.
b) Represent diagrammatically the bond moments and the resultant dipole moment in `CO_(2), NF_(3)` and `CHCl_(3)`

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### Step-by-Step Text Solution #### Part a: Significance/Applications of Dipole Moment 1. **Determination of Polarity**: - The dipole moment (μ) helps in determining whether a molecule is polar or non-polar. A non-zero dipole moment indicates that the molecule is polar, while a zero dipole moment indicates that it is non-polar. 2. **Ionic Character**: - The dipole moment can be used to calculate the percentage of ionic character in a bond. This is given by the formula: \[ \text{Percentage Ionic Character} = \left( \frac{\mu_{\text{observed}}}{\mu_{\text{ionic}}} \right) \times 100 \] - Here, μ_observed is the measured dipole moment, and μ_ionic is the dipole moment expected for a completely ionic bond. 3. **Symmetry of Molecules**: - Dipole moments can indicate the symmetry of molecules. For example, a symmetrical molecule like CCl₄ has a dipole moment of zero, suggesting that it is non-polar. 4. **Cis-Trans Isomerism**: - The dipole moment can help differentiate between cis and trans isomers. Generally, cis isomers have a higher dipole moment than trans isomers due to the arrangement of functional groups. 5. **Ortho, Meta, and Para Isomers**: - Dipole moments can also provide information about the relative positions of substituents in aromatic compounds, such as ortho, meta, and para isomers. #### Part b: Diagrammatic Representation of Dipole Moments 1. **CO₂ (Carbon Dioxide)**: - CO₂ has a linear structure. The dipole moments from each C=O bond are equal in magnitude but opposite in direction, resulting in a net dipole moment of zero. - **Diagram**: ``` O ← C → O (Dipole moments cancel out) ``` 2. **NF₃ (Nitrogen Trifluoride)**: - NF₃ has a trigonal pyramidal shape due to the presence of a lone pair on nitrogen. The dipole moments from each N-F bond point towards the fluorine atoms. - **Diagram**: ``` F | F - N (lone pair) | F (Resultant dipole moment points upwards) ``` 3. **CHCl₃ (Chloroform)**: - CHCl₃ has a tetrahedral structure. The dipole moments from the C-Cl bonds point towards the chlorine atoms, while the C-H bond points towards the hydrogen atom. - **Diagram**: ``` Cl | Cl - C - H | Cl (Resultant dipole moment points towards Cl) ```

### Step-by-Step Text Solution #### Part a: Significance/Applications of Dipole Moment 1. **Determination of Polarity**: - The dipole moment (μ) helps in determining whether a molecule is polar or non-polar. A non-zero dipole moment indicates that the molecule is polar, while a zero dipole moment indicates that it is non-polar. 2. **Ionic Character**: ...
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