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10/09/2020 7:44 pm
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An element with a density of 2.7 × 103 kg m-3 has a molar mass of 2.7 × 10-2 kg/mol and it makes a cubic unit cell with an edge length of 405 pm. What kind of cubic unit cell does it have?
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10/09/2020 7:50 pm
Given, Density, d = 2.7 × 103 kg m-3
Molar mass, M = 2.7 × 10-2 kg /mol
Edge length, a = 405 pm = 405 × 10-12 m = 4.05 × 10-10 m
We know,
Avogadro’s number, NA = 6.022 × 1023 mol-1
We also know that d = (Z x M)/(a3 x NA)
=> Z = (d x NA x a3)/M = 3.99 ∼4
This means that the cell is a face centered cubic.