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At room temperature, Polonium (atomic we...

At room temperature, Polonium (atomic weight `209 gm mol^(-1)`) crystallises in a primitive cubic unit cell. If `a = 3.36 A^(0)`, calculate the theoritical density of Polonium.. 

Text Solution

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A primitive cubic unit cell contains atoms only at the 8 corners with each corner contributing `1//8^(th)` of an atom . Hence n = `8 xx (1//8) = 1` . Volume `V = a^(3) = (3.36 Å)^(3)`
From Eq. 1 `rho = (n M m)/(N_(0) V)`
`= ((1) 209 g mol^(-1)))/((6.022 xx 10^(23) mol^(-1)) (3.36 xx 10^(-8) cm)^(3))`
`= 9.15 g cm^(-3)`
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