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A metal (atomic mass = 50 ) has a body c...

A metal (atomic mass = 50 ) has a body centred cubic crystal structure. If the density of the metal is 5.96 g `cm^(-3)`, calculate the volume of the unit cell.

Text Solution

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The correct Answer is:
(a) 354 pm (b) ` 2. 25 xx 10^(28)`
Mass of the unit cell = Mass of one atom ` xx ` No. of atoms present in the unit cell.
`= ((50)/(6.023xx10^(23))g)xx2 [ For BCC, Z =2] `
Volume of the unit cell = `("mass")/("Density")= ( 50xx2)/(6.023 xx 10^(23)) g xx 1/((5.96 " g cm"^(-3)) = 2.786 xx 10^(-23) " cm" ^(3)`
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