An iron alloy contains $54.7\%$ iron and has a density of $8.17 \, g \, cm^{-3}$. What is the number of iron atoms in an alloy block of dimensions $10 \, cm \times 15 \, cm \times 20 \, cm$?

  • A
    $12.27 \times 10^{24}$
  • B
    $12.67 \times 10^{-24}$
  • C
    $14.41 \times 10^{25}$
  • D
    $13.34 \times 10^{22}$

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