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An element has a bee structure with unit cell edge length of 288 pm. How many unit cells and number of atoms are present in 200 g of the element?

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Question

An element has a bee structure with unit cell edge length of 288 pm. How many unit cells and number of atoms are present in 200 g of the element?

Numerical
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Solution

For bcc unit cell, n = 2

Using formula (i),

Number of atoms in 200 g of element,

= `(200 g xx 2)/(14.44 g  cm^-3 xx (2.88 xx 10^-8  cm)^3`

= 9.61 × 1024

Using formula (ii),

∴ Number of atoms in 200 g element is 9.61 × 1024

∵ Number of unit cells in 200 g element is 4.80 × 1024

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