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The cubic unit cell of a metal (molar ma...

The cubic unit cell of a metal (molar mass=63.55 g `mol^(-1)`)has an edge length of 362pm. Its density is 8.92 g `cm^(3)`. The type of cell is

A

FCC

B

BCC

C

Simple cubic

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`Z=(d times a^(3)timesN_(0))/M`
`=((8.92 g cm^(-3))times(3.62times10^(-8)cm)^(3)times(6.02times10^(23)mol^(-1)))/(63.55 g mol^(-1))`
`=(8.92times47.44times10^(-24)times6.02times10^(23))/(63.55)`
=`4.001`
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