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Answer :
Final answer:
The metal potassium forms a body-centered cubic lattice structure. The edge length of the unit cell can be found by rearranging the mathematical relationship √3a = 4r to a = 4r/√3 and substituting the given radius of the potassium atom. This gives an edge length of approximately 524 pm.
Explanation:
The metal potassium forms a body-centered cubic lattice structure. In this structure, the edge length, a, of the cube is related to the radius, r, of the atom by the mathematical relationship √3a = 4r. So, to find the edge length, we can rearrange this equation to a = 4r/√3. Substituting the given radius of the potassium atom (227 pm) into this equation, we find that the edge length a of the unit cell is approximately 524 pm. Therefore, option (a) is correct.
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