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Q. The molecule $AB$ has a bond length of $ 1.61\mathring{A} $ & a dipole moment of $0.38 D$. The fractional charge on each atom is: (charge on $\left.1 e ^{-}=-4.8 \times 10^{-10} esu \right)$

Chemical Bonding and Molecular Structure

Solution:

$1D =10^{-18}$ esu cm

$m = q \times d$

$0.380= q \times 1.61\mathring{A}$

$0.38 \times 10^{-18} esu = q 1.61 \times 10^{-8} cm$

$q =\frac{0.38 \times 10^{-18}}{1.61 \times 10^{-8}}=0.23 \times 10^{-10} esu$

Fractional charge on each atom

$=\frac{0.23 \times 10^{-10} esu }{4.8 \times 10^{-10} esu }$

$=0.05$