The Solid State

The Solid State

Question

An element crystallizes in b.c.c lattice with cell edge of 500 pm. The density of the element is 7.5g cm-3. How many atoms are present in 300 g of the element ?

Answer

We have given,
a= 500pm
d=7.5 g cm-3
mass = 300g
by space using space formula comma
fraction numerator straight z space xM over denominator straight a cubed space straight x space straight N subscript 0 end fraction space equals space straight d

straight N subscript 0 space equals space fraction numerator straight z space xM over denominator straight a cubed space straight x space straight d end fraction

straight N space equals space fraction numerator 2 space straight x space 300 straight g over denominator space left parenthesis 5 space straight x 10 to the power of negative 8 end exponent space cm right parenthesis cubed space straight x space 7.5 end fraction

straight N space equals space 6.4 space straight x space 10 to the power of 23 space atoms

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