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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:
7.30 g/mL
For bcc lattice
`rsqrt(3)/(4)xxa=sqrt(3)/(4)xx287=124.27`pm
`"Density",rho(nxxat.wt.)/(VxxN_(0))=(nxxat.wt.)/(N_(0)xxa^(3))`
For bcc, n=2, Given: a=`287xx10^(-10)cm`
Density
`=(2xx51.99)/((287xx10^(-10)cm)xx6.023xx10^(23))=7.30g//mL`
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