Chemistry Question on Stoichiometry and Stoichiometric Calculations

Question

$4.6\times {{10}^{22}}$ atoms of an element weigh $13.8\,g$ . The atomic weight of that element is

Answer 1

Solution

$4.6 \times 10^{22}$ atoms weigh $=13.8 g$
Hence,
$6.02 \times 10^{13}$ atoms will weigh
$=\frac{13.8 \times 6.02 \times 10^{23}}{4.6 \times 10^{22}}$
$=180.6 g$ (molar mass)