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Gold (at. Mass 197 g mol^(-1)) crystall...

Gold (at. Mass 197 g `mol^(-1)`) crystallises in cubic closest packed structures (the face-crntred cubic) and has a density of 19.3 `g//cm^(3)` . Atomic radius is

A

`144.17` pm

B

`407.8` pm

C

`128.32` pm

D

`203.4` pm

Text Solution

Verified by Experts

The correct Answer is:
A
Density `d=(MZ)/(a^(3)N_(A))" ":.a^(3)=(MxxZ)/(N_(A)xxd)`
`a=3sqrt((197xx4)/(6.023xx10^(23)xx19.3))`
`a=407.8xx10^(-10)cm=407.8` pm
`r=(407.8)/(sqrt(8))=144.18` pm
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