Chemistry, asked by babedoll7345, 11 months ago

An element has a body centred cubic structure with cell edge of 288pm the density of the element is 7.2gcm how many atoms present in 208g of the element

Answers

Answered by SugaryGenius
0

{\huge{\underline{\underline{\mathcal{\red{♡ANSWER♡}}}}}}.

  • ❤.. {Volume of the unit cell}={(288pm)^3}
  • ❤..={(288×10^-12 m)^-3 = (288×10^-10 cm)^3}
  • ❤..={2.39×10^-23 cm^3}
  • ❤..{Volume of208 g of element}
  • ❤..\frac{mass}{density}=\frac{208g}{7.2gcm^-3}={28.88cm^3}
  • ❤..{Number of unit cells in this volume}
  • =\frac{28.88cm^3}{2.39×10^-23Cm^3/unit cell}={12.08×10^23 unit cells}
  • ⭐.. Since each{bcc}cubic unit cell contains {2} atoms,therefore,the total number of atoms in {208g = 2}{(atoms/unit cell)×12.08×10^23} unit cells={24.16×10^23} atoms.
Similar questions