A metal (atomic mass 50) has a body centred cubic crystal structure. The density of the metal is 5.96 "g cm"^(-3). Find the volume of the unit cell (N_O=6023xx10^23 "atoms mol"^(-1))

A metal (atomic mass 50) has a body centred cubic crystal structure. T

1.	A metal (atomic mass 50) has a body centred cubic crystal structure. The density of the metal is 5.96 "g cm"^(-3). Find the volume of the unit cell (N_O=6023xx10^23 "atoms mol"^(-1))
Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :<a href="https://interviewquestions.tuteehub.com/tag/mass-1088425" style="font-weight:bold;" target="_blank" title="Click to know more about MASS">MASS</a> of the unit cell = Mass of one <a href="https://interviewquestions.tuteehub.com/tag/atom-887280" style="font-weight:bold;" target="_blank" title="Click to know more about ATOM">ATOM</a> x No. of atoms <a href="https://interviewquestions.tuteehub.com/tag/present-1163722" style="font-weight:bold;" target="_blank" title="Click to know more about PRESENT">PRESENT</a> in the unit cell <br/> `=(50/(6.023xx10^<a href="https://interviewquestions.tuteehub.com/tag/23-294845" style="font-weight:bold;" target="_blank" title="Click to know more about 23">23</a>)g)xx2` [For BCC, Z=2] <br/> Volume of the unit cell=`"Mass"/"Density"=(50xx2)/(6.023xx10^23)gxx1/(5.96 g cm^(-3))=2.786xx10^(-23) cm^(3)`</body></html>