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Question: The correct sequence of dipole moments among the chlorides of methane is-...

The correct sequence of dipole moments among the chlorides of methane is-

A

CHCl3 < CH2Cl2> CH3Cl> CCl4

B

CH2Cl2 > CH3Cl > CHCl3> CCl4

C

CH3Cl> CH2Cl2> CHCl3< CCl4

D

CH2Cl2 > CHCl3> CH3Cl > CCl4

Answer

CH3Cl> CH2Cl2> CHCl3< CCl4

Explanation

Solution

μCCl4\mu _ { \mathrm { CCl } _ { 4 } } = 0

= 1.5 D = 0.4 D

The resultant dipole moment of three C–H bonds = 0.4 D.

Net dipole moment = 1.9 D

The resultant of two C–H bonds

= (0.4)2+(0.4)2+2×(0.4)2×cos109.5º\sqrt{(0.4)^{2} + (0.4)^{2} + 2 \times (0.4)^{2} \times \cos 109.5º}

= 0.16+0.160.2873\sqrt{0.16 + 0.16 - 0.2873} = 0.18 D

The resultant of two C – Cl bonds.

=(1.5)2+(1.5)2+2×(1.5)2×cos109.5º\sqrt{(1.5)^{2} + (1.5)^{2} + 2 \times (1.5)^{2} \times \cos 109.5º}

= 2.25+2.25+2×2.25×cos109.5º\sqrt{2.25 + 2.25 + 2 \times 2.25 \times \cos 109.5º}= 4.54.04\sqrt{4.5 - 4.04}

= 0.46\sqrt{0.46}

= 0.678

\ µcal = 0.858 D but experimentally for CH2Cl2, µ = 1.59 D.

The resultant of three C – Cl bonds = 1.5 D

Experimental dipole moment of CHCl3 = 1.15 D