An element crystallises in cubic close packed structure having edge length 200pm. Calculate radius of the element and the density if 200g of this element contains `24xx10^(24)` atoms.

Explanation

An element crystallises in cubic close packed structure having edge length 200 pm.
`:.` The radius of the element `=(200)/(2sqrt2)pm=70.11` pm
`[:'` ccp corresponds to fcc lattice]
We know,
Density `(rho)=(Zm)/(na^3)`
`:." "rho=(4xx200)/(24xx10^(24)xx(200xx10^(-10))^3)=4.167g*cm^(-3)`