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Answer: 0.92 cm


Explanation:


1) Equations:

  • Cube shape ⇒ volume = (side length) ³ ⇒ side length = ∛(volume)
  • Density = mass / volume ⇒ volume = mass / density
  • mass = number of moles × atomic mass
  • atomic mass of titanium = 47.867 g/mol
  • number of moles = number of atoms / Avogadro's number
  • Avogadro's number = 6.022×10²³

2) Calculations:

  • number of moles = 3.5×10²³ atoms / (6.022×10²² atoms/mol) = 0.58 moles
  • ⇒ mass = 0.58 moes × 47.867 g/mol = 3.49 g
  • ⇒ volume = 3.49g / 4.50 g/cm³ = 0.78 cm³
  • ⇒ side = √ (0.78cm³) = 0.92 cm ← answer

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