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mr Goodwill [35]
3 years ago
15

A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 417 pm. The diameter of the metal atom is:

_______
a. 417 pm
b. 295 pm
c. 209 pm
d. 147 pm
e. none of these
Chemistry
1 answer:
enyata [817]3 years ago
8 0

Answer:

b. 295 pm

Explanation:

To answer this question we need to use the equation of a face-centered cubic laticce:

Edge length = √8 R

<em>Where R is radius of the atom.</em>

<em />

Replacing:

417pm = √8 R

R = 147.4pm is the radius of the atom

As diameter = 2 radius.

Diameter of the metal atom is:

147.4pm* 2 =

295pm

Right answer is:

<h3>b. 295 pm </h3>

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From the question given above, the following data were obtained:

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Next, we shall determine the mass of Al.

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