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The dipole moment of water is 1.84D and ...

The dipole moment of water is 1.84D and dipole moment of O-H bond is 1.5D. Calculate the H-O-H bond angle in water.

Text Solution

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Net dipole moment of a molecule, `mu = (m_1^2 + m_2^2 + 2m_1m_2 cos theta)^(1//2)`
Substituting the values of `m_1, m_2 and mu` in the relation : `1.84 = [ (1.5)^2 + (1.5)^2 + 2 xx 1.5 xx 1.5 cos theta]^(1//2)`
Squaring both sides, `3.3856 = 2.25 + 2.25 + 4.5 cos theta , cos theta = -0.2476 rArr theta = cos (-0.2476) = 104.3^@`
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Knowledge Check

  • High dipole moment of water justifies that

    A
    it is not linear molecule
    B
    it is a universal solvent
    C
    it has higher densitythan ice
    D
    it is neutral toward litmus

  • High dipole moment of water justifies that

    A
    it is not linear molecule
    B
    it is a universal solvent
    C
    it has higher density than ice
    D
    it is neutral toward litmus

  • The geometry of 'H2S' and dipole moment are:

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    angular and non zero
    B
    angular and zerọ
    C
    linear and'non-zeró
    D
    linear and zero

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