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  • Copper crystallises in fcc unit cell with cell edge length of . The density of co

Copper crystallises in fcc unit cell with cell edge length of 3.608 \times 10^{-8}\mathrm{cm} . The density of copper is 8.92 \: \mathrm{g\: cm^{-3}}. Calculate the atomic mass of copper.
 

Option: 1

31.55\: \mathrm{u}
 


Option: 2

60 \: \mathrm{u}
 


Option: 3

65 \: \mathrm{u}

 


Option: 4

63.1\: \mathrm{u}
 


Answers (1)

best_answer

As we have learnt ,

\mathrm{d=\frac{Z \times M_{0}}{N_{A} \times a^{3}}}

Putting values in the above expression we have

\mathrm{8.92 =\frac{4 \times M_{0}}{6.022 \times 10^{23} \times\left(3.608 \times 10^{-8}\right)^{3}}} \\

\mathrm{\Rightarrow \quad M_{0} =\frac{8.92 \times 6.022 \times 10^{23} \times\left(3.608 \times 10^{-8}\right)^{3}}{4}} \\

\mathrm{\Rightarrow \quad M_{0} =63.1 }

Hence correct option is 4

Posted by

Pankaj Sanodiya

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