Question

A metal has a body-centered cubic crystal structure. The density of the metal is 5.96 g/cm³. Find the volume of the unit cell if the atomic mass of metal is 50.

Options

• 1.39 × 10⁻²³ cm³

• 5.572 × 10⁻²³ cm³

• 2.786 × 10⁻²³ cm³

• 16.77

Answer 1

2.786 × 10⁻²³ cm³

Explanation:

a³ = `("M" xx "Z")/("N"_"A" xx "d")`

= `(50 xx 2)/(6.02 xx 10^23 xx 5.96)`

= 2.786 × 10⁻²³ cm³