Taking into account the definition of avogadro's number, 7.59×10⁻¹¹ moles of copper are 4.57×10¹³ atoms of copper.
Avogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.
Then you can apply the following rule of three: if 6.023×10²³ atoms are contained in 1 mole of copper, then 4.57×10¹³ atoms are contained in how many moles of copper?
amount of moles of copper= (4.57×10¹³ atoms × 1 mole)÷ 6.023×10²³ atoms
amount of moles of copper= 7.59×10⁻¹¹ moles
Finally, 7.59×10⁻¹¹ moles of copper are 4.57×10¹³ atoms of copper.
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