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The dipole moment, mu, of a bond can be calculated from the equation mu = Q time

ID: 1052837 • Letter: T

Question

The dipole moment, mu, of a bond can be calculated from the equation mu = Q times r where Q is the magnitude of the partial changes and r is the bond length. Part B The dipole moment (mu) of HBr (a polar covalent molecule) is 0.831D (debye), and its percent ionic character is 12.3%. Estimate the bond length of the H-Br bond in picometers. Note that bullet 1 D = 3.34 times 10^-30 C-m and bullet in a bond with 100% ionic character, Q = 1.6 times 10^-29 C. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

u calc = 0.831 D ; % ionic char = 12.3

u (100% ionic) = u calc / % ionic char ====> u (100% ionic) = .831/12.3 = 0.67 D

u (100% ionic) = 0.67 * 3.34*10 -30 m

u (100% ionic) = Q * r

r = u (100% ionic) / Q ===> r = 0.67 * 3.34*10 -30 m / 1.6*10 -19 m

r = 1.39 *10 -11 m or 13.9 pm