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A compound having bcc geometry has atomi...

A compound having bcc geometry has atomic mass 70. Calculate the density of the unit cell if its edge length is 290 pm.

Text Solution

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The correct Answer is:
`6.819"g cm"^(-3)`
Density `(rho)=(zxxM)/(a^(3)xxN_(0)xx10^(-30))`
Edge length (a) = 290 pm = 290 , Gram atomic mass (M) = 50 g `mol^(-1)`.
No. of atoms per unit cell (z) = 2 , Avogadro's No. `(N_(0))=6.022xx10^(23)"mol"^(-1)`.
`"Density"(rho)=(2xx("50 g mol"^(-1)))/((290)^(3)xx(6.022xx10^(23)"mol"^(-1))xx(10^(-30)xx"cm"^(3)))=6.819"g cm"^(-3)`
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