An element occurs in bcc structure with ...

An element occurs in bcc structure with cell edge of 288 pm. Find the density of the element if its atomic mass is `51.7mu`.

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Z (for b.c.c. lattice) = 2,
`a=288"pm"=2.88xx10^(-8)"cm"`
`M=51.7"g mol"^(-1)`,
`N_(A)=6.022xx10^(23)"mol"^(-1)d=?`
`d=(ZxxM)/(a^(3)xxN_(A))`
`=(2xx5.17"g mol"^(-1))/((2.88xx10^(-8))^(3)"cm"^(3)xx6.002xx10^(23)"mol"^(-1))`
`(103.4xx10)/(23.89xx6.022)"g cm"^(-1)=7.2"g cm"^(-3)`

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