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Question

Potassium crystallizes in a body centred cubic lattice.calculate the approximate number of unit cells in 1g of potassium.(Atomic mass of the potassium is 39u)

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Solution

In BCC unit cell, there are eight atoms at cornes and one atom at body center.
So, total no. of atoms per unit cell = 1/8 x 8 +1 = 2
Now, no, of atoms in 1 gm potassium = 1/39 x 6.022 x 1023 = 1.54 x 1022 atoms,
So, no. of unit cell in 1g Potassium, = 1.54 x 1022 /2 = 0.77 x 1022


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