The density of potassium metal is 0.856 g/cm³. Potassium atoms crystallize in a body-centered cubic structure. What is the radius (in nm) of a potassium atom? (Hints: Find the number of K atoms in a unit cell. The diagonal of a cube is √3 times the length of an edge, and the diagonal of a face is √2 times the length of an edge.)

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The density of potassium metal is 0.856 g/ cm3. Potassium atoms crystallize in a body-centered cubic structure. What is the radius (in nm) of a potassium atom?

(Hints: Find the number of K atoms in a unit cell. The diagonal of a cube is square root 3 times the length of an edge, and the diagonal of a face is square root 2 times the length of an edge.)

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Bonus Question:
The density of potassium metal is 0.856 g/cm³. Potassium atoms crystallize in a body-centered cubic
structure. What is the radius (in nm) of a potassium atom?
(Hints: Find the number of K atoms in a unit cell. The diagonal of a cube is √3 times the length of an
edge, and the diagonal of a face is √2 times the length of an edge.)
The images below show a unit cell of a body-centered cubic structure, from two different views.
Transcribed Image Text:YI YD Content Bonus Question: The density of potassium metal is 0.856 g/cm³. Potassium atoms crystallize in a body-centered cubic structure. What is the radius (in nm) of a potassium atom? (Hints: Find the number of K atoms in a unit cell. The diagonal of a cube is √3 times the length of an edge, and the diagonal of a face is √2 times the length of an edge.) The images below show a unit cell of a body-centered cubic structure, from two different views.
Expert Solution
Step 1

Given:-

Structure is "BCC".

Density= 0.856 gm/cm3

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