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The AsAs bond length in elemental arsenic is 2.48 . The

Chapter , Problem 7.85

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QUESTION:

The As-As bond length in elemental arsenic is 2.48 \(\text { Å}\). The Cl-Cl bond length in \(\mathrm{Cl}_{2}\) is 1.99 \(\text { Å}\).

(a) Based on these data, what is the predicted As-Cl bond length in arsenic trichloride, \(\mathrm{AsCl}_{3}\), in which each of the three Cl atoms is bonded to the As atom?

(b) What bond length is predicted for \(\mathrm{AsCl}_{3}\), using the atomic radii in Figure 7.7?

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QUESTION:

The As-As bond length in elemental arsenic is 2.48 \(\text { Å}\). The Cl-Cl bond length in \(\mathrm{Cl}_{2}\) is 1.99 \(\text { Å}\).

(a) Based on these data, what is the predicted As-Cl bond length in arsenic trichloride, \(\mathrm{AsCl}_{3}\), in which each of the three Cl atoms is bonded to the As atom?

(b) What bond length is predicted for \(\mathrm{AsCl}_{3}\), using the atomic radii in Figure 7.7?

ANSWER:

 

Step 1 of 3

(a)

“The atomic radius is defined as one-half the distance between the nuclei of identical atoms that are bonded together.”

From the given,

The distance between two “As” atoms in \(\mathrm{As}_{2}=2.48 \mathrm{~A}^{\circ}\)  

Atomic radius of single “As” atom = \(=\frac{2.48 \mathrm{~A}^{\circ}}{2}=1.24^{\circ} \mathrm{A}\)

 

The distance between two “Cl” atoms in \(\mathrm{Cl}_{2}=0.995^{\circ} \mathrm{A}\)

Atomic radius of single “Cl” atom = \(\frac{1.99 \mathrm{~A}^{\circ}}{2}=0.995^{\circ} \mathrm{A}\)

 

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