The density of a metal which crystallises in bcc lattice with unit cell edge length 300 pm and molar mass 50 g `mol^(-1)` will be

Options

A. 10 g `cm^(-3)`
B. `14.2 g cm^(-3)`
C. `6.15 g cm^(-3)`
D. `9.32 g cm^(-3)`

Answer

C

Explanation

Theoretical density of crystal, `rho=2 xx M//N xx a^3 g//cm^3`
Given for BCC Z = 2 , a = `300 xx 10^(-10) cm , M = 50 g `
`therefore rho =2 xx 50//6.022 xx 1023 xx (300)^3 xx (10^(10))^3`
`= 6.15 g//cm^3`