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By X-ray studies, the packing atoms, in ...

By X-ray studies, the packing atoms, in a crystal of gold is found to be in layers such that starting from any layer, every fourth layer is found to be exactly idenctical. The density of gold is found to be ` 19.4 g cm^(-3)` and its atomic mass is 197 a.m.u.
Assuming gold atom to be spherical , its radius will be

A

203.5 pm

B

143.9 pm

C

176.2 pm

D

287.8 pm

Text Solution

Verified by Experts

The correct Answer is:
B
For fcc, `r=a/(2sqrt2)`=0.3535 a
=0.3535 x 407 pm =143.9 pm
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Gold crystallizes in a face centered cubic lattice. If the length of the edge of the unit cell is 407 pm, calculate the density of gold as well as its atomic radius assuming it to be spherical. Atomic mass of gold = 197 amu.