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Chromium metal crystallizes with a body-...

Chromium metal crystallizes with a body-centred cubic lattice. The length of the unit cell edge is found to be `287`pm. Calculate the atomic radius. What woulds be the density of chromium in `g cm^(-3)`?

Text Solution

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The correct Answer is:
7
Density `rho=(zxxat.wt.)/(VxxxAv.no .)=(zxxat.wt)/(a^(3)xxAv. no .)`
`=z-2 fo r b.c.c.`
`a=287p m=287xx10^(-10)cm`
`rho=(2xx52)/((287xx10^(-10))^(3)xx6.023xx10^(23))`
`=7.3~~7g cm^(-3)`
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