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An element has a bcc structure with a ce...

An element has a bcc structure with a celledge of `288` pm. The density of the element is `7.2 g cm^(-3)`. How many atins are present in `208 g` of the element?

Text Solution

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Volume of the unit cell `=(288xx10^(-10))^(3)`
`=23.9xx10^(-24) cm^(3)`
Volume of 208 g of element `=(208)/(7.2)=28.88 cm^(3)`
Number of unit cells in `28.88 cm^(3)=(28.88)/(23.9xx10^(-24))`
`=12.08xx10^(23)` unit cells
Each bcc structure contains 2 atoms .
So, total atoms in `12.08xx10^(23)` unit cells
`=2xx12.08xx10^(23)`
`=24.16xx10^(23)`
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