AgCl 78.1% gas 11.5 D Ag and Cl

AgCl 78.1% gas 11.5 D Ag and Cl

 

 

AgCl is found to have 78.1% ionic character,

and its gas phase dipole moment is 11.5 D.

What is the distance between the Ag and Cl atoms in gaseous AgCl?

A) 9.19×10^(-10) pm

B) 14.7 pm

C) 307 pm

D) 903 pm

 

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percent ionic character = (μ_exp / μ_ionic) × 100

> μ = dipole moment

> μ_ionic = full charge separation

> μ_exp = experimental dipole moment

 

 

 

78.1% = (11.5 D / μ_ionic) × 100

 

μ_ionic = 11.5 / 78.1 × 100 = 14.7247 D

 

 

 

▶ 1 Debye(D)의 정의

> 1 D = 3.336×10^(-30) C•m

( the units of the dipole moment = Coulomb-meters )

 

 

 

14.7247 D × (3.336×10^(-30) C•m / 1 D)

= 14.7247 × (3.336×10^(-30))

= 4.91216×10^(-29) C•m

 

 

 

μ = q × e × d

> e = 1.602×10^(-19) C

> d = interatomic distance

 

 

 

μ_ionic = full charge separation

---> q = 1

( q = 1 for complete separation of unit charge )

 

 

 

d = μ / (q × e)

= 4.91216×10^(-29) C•m / (1 × (1.602×10^(-19) C))

= 4.91216×10^(-29) / (1 × (1.602×10^(-19)))

= 3.07×10^(-10) m

 

 

 

3.07×10^(-10) m × (10^12 pm / 1 m) = 307 pm

 

 

 

답: C) 307 pm

 

 

 

 

[ 관련 글 chem.libretexts.org ]

전기음성도와 쌍극자모멘트. electronegativity and dipole moment