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avanturin [10]
3 years ago
8

The radius of a single atom of a generic element x is 197 picometers (pm and a crystal of x has a unit cell that is face-centere

d cubic. calculate the volume of the unit cell.
Chemistry
1 answer:
Vinvika [58]3 years ago
7 0
In a face centered cubic unit cell, the volume occupied by the particles of the substance is about 74% of the total unit cell. First, we find the volume of a single atom assuming it to be sphere:
Volume(atom) = 4/3 x π x r³
Volume(atom) = 4/3 x π x (197 x 10⁻¹²)³
Volume(atom) = 2.87 x 10⁻²⁹ m³

There are a total of 4 atoms in a FCC unit cell, so the total volume occupied by atoms is:
2.87 x 10⁻²⁹ x 4
= 1.15 x 10⁻²⁸ m³

Volume of cell = (1.15 x 10⁻²⁸ ) / 0.74
Volume of cell = 1.55 x 10⁻²⁸ m³
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Alex777 [14]

Answer:

S = 1.1 × 10⁻⁹ M

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Given the concentration of NaCl is 0.15 M, the concentration of Cl⁻ will be 0.15 M.

We can find the molar solubility (S) of AgCl using an ICE chart.

      AgCl(s) ⇄ Ag⁺(aq) + Cl⁻(aq)

I                         0            0.15

C                      +S              +S

E                        S            0.15+S

The solubility product (Ksp) is:

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If we solve the quadratic equation, the positive result is S = 1.1 × 10⁻⁹ M

6 0
3 years ago
Read 2 more answers
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