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A metal crystallises in a bcc lattice. Its unit cell edge length is about 300 pm and its molar mass is about 50g mol^(-1). What would be the density of the metal ("in" g"" cm^(-3)).

Answer»

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Solution :`a=300"pm", Z=2`(for bcc unit cell)
`M=50 g"" mol^(-1)`
`"Density", rho(ZtimesM)/(N_(A)TIMESA^(3)times10^(-30))g""cm^(-3)`
`=(2times50)/(6.02times10^(23)times(300)^(3)times10^(-30))`
`=100/(6.02times27times10^(-1))`
`=1000/(6.02times27)=6.15 g cm^(-3)`


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