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An element crystallizes in a structure h...

An element crystallizes in a structure having fee unit cell of an edge 200 pm. Calculate the density if 200 g of this element contains `24 xx 10^23` atoms.

A

`42.66 g//cm^3`

B

`41.66g//cm^3`

C

`43.66 g//cm^3`

D

`44.66 g//cm^3`

Text Solution

Verified by Experts

The correct Answer is:
B
Using the formula : `rho = (Z xx M)/(a^3 xx N_A)`
`rho = (4 xx 50.18)/((200 xx 10^(-10))^3 xx 6.022 xx 10^23)`
` therefore rho = (200.72)/(8 xx 6.022 xx 10^(-1)) = (2007.2)/(48.176) = 41.66 g//cm^3`
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