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  4. A compound CuCl has face-centred cubic structure. Its density is 3.4 text g text cm-3 . The length of unit cell is

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Q. A compound $ CuCl $ has face-centred cubic structure. Its density is $ 3.4\text{ }g\text{ }c{{m}^{-3}} $ . The length of unit cell is

MGIMS WardhaMGIMS Wardha 2015

Solution:

Molecular mass of $ CuCl=99 $ $ Z=4 $ for face-centred cubic cell from the formula Density $ =\frac{Z\times M}{V\times {{N}_{A}}}=\frac{4\times 99}{{{a}^{3}}\times 6.023\times {{10}^{23}}} $ Or $ 3.4=\frac{4\times 9}{{{a}^{3}}\times 6.023\times {{10}^{23}}} $ Or $ a=5.783\times {{10}^{-8}}cm=5.783\overset{o}{\mathop{\text{A}}}\, $