GATE ME 2023 Set 1 — Question 51
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Question
The atomic radius of a hypothetical face-centered cubic (FCC) metal is nm. The atomic weight of the metal is 24.092 g/mol. Taking Avogadro’s number to be atoms/mol, the density of the metal is ________ kg/m.
Correct answer
2490 to 2510
Solution
For a face-centered cubic (FCC) crystal structure:
1.The number of atoms per unit cell is .
2.The relationship between the lattice parameter and the atomic radius is given by:
Given nm, we calculate :3.The density is calculated using the formula:
Where:Continue learning with Success Tracker
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