MCQEasyJEE 2024Electronegativity & Dipole Moment

JEE Chemistry 2024 Question with Solution

The total number of molecules with zero dipole moment among CH4CH_4, BF3BF_3, H2OH_2O, HFHF, NH3NH_3, CO2CO_2, and SO2SO_2 is:

  • A

    33

  • B

    22

  • C

    44

  • D

    55

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: The molecules are CH4CH_4, BF3BF_3, H2OH_2O, HFHF, NH3NH_3, CO2CO_2, and SO2SO_2.

Find: The total number of molecules having zero dipole moment.

A molecule has zero dipole moment when its bond dipoles cancel because of symmetric geometry.

  • CH4CH_4: tetrahedral and symmetric, so dipole moment is zero.
  • BF3BF_3: trigonal planar and symmetric, so dipole moment is zero.
  • H2OH_2O: bent geometry, so dipole moment is non-zero.
  • HFHF: heteronuclear diatomic molecule, so dipole moment is non-zero.
  • NH3NH_3: trigonal pyramidal geometry, so dipole moment is non-zero.
  • CO2CO_2: linear and symmetric, so dipole moment is zero.
  • SO2SO_2: bent geometry, so dipole moment is non-zero.

Thus, the molecules with zero dipole moment are CH4CH_4, BF3BF_3, and CO2CO_2.

Therefore, the total number of such molecules is 33. The correct option is A.

Shortcut by Symmetry

Given: The list of molecules is CH4CH_4, BF3BF_3, H2OH_2O, HFHF, NH3NH_3, CO2CO_2, and SO2SO_2.

Find: How many have zero dipole moment.

Use symmetry directly:

  • Symmetric molecules usually have cancellation of bond dipoles.
  • Bent or pyramidal molecules usually have a net dipole moment.

So, CH4CH_4, BF3BF_3, and CO2CO_2 are symmetric and have zero dipole moment, while H2OH_2O, HFHF, NH3NH_3, and SO2SO_2 do not.

Therefore, the total number is 33, so the correct option is A.

Common mistakes

  • Assuming that every molecule with polar bonds must have a non-zero dipole moment is incorrect. In symmetric molecules such as CO2CO_2 and BF3BF_3, the bond dipoles cancel. Always check the geometry before deciding.

  • Treating H2OH_2O or SO2SO_2 as zero-dipole molecules is wrong because both are bent, not linear. Their asymmetric shapes prevent cancellation of dipole moments.

  • Ignoring the effect of lone pairs leads to mistakes for NH3NH_3 and H2OH_2O. Lone pairs change the shape and create asymmetry, so evaluate molecular geometry, not only the molecular formula.

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