An element crystallizes into a structure which may be describes by a cubic type of unit cell having one atom on each corner of the cube and two atoms on one of its diagonals. If the volume of this unit cell is `24xx10^(-24)cm^(3)` and density of element is `7.2g cm^(-3)` . Calculate the number of atoms present in `200g` of element.

Explanation

z = 3
`7.2=(3xx(M)/(N_(A)))/(24xx10^(-24)) implies M34.64`
no. of atoms in 200 gram `=(200)/(34.68)xx6.022xx10^(23)`
`=3.47xx10^(24)` atoms.