To find the number of copper atoms in a 1 naira coin that weighs 7.39g and is made of 86% copper, we need to follow these steps:
Determine the mass of copper in the coin.
We know that the coin is made of 86% copper. Therefore, the mass of copper in the coin is 0.86 times the total mass of the coin, which is 7.39g. So, the mass of copper in the coin is:
0.86 x 7.39g = 6.35g
Convert the mass of copper to the number of moles of copper.
The molar mass of copper is approximately 63.55 g/mol. To convert the mass of copper (6.35g) to the number of moles of copper, we need to divide the mass by the molar mass:
6.35g ÷ 63.55 g/mol = 0.1 mol
Use Avogadro's number to find the number of copper atoms.
Avogadro's number is the number of particles (atoms, molecules, ions, etc.) in one mole of a substance, which is approximately 6.022 x 10^23 particles/mol. To find the number of copper atoms in 0.1 mol of copper, we need to multiply the number of moles by Avogadro's number:
0.1 mol x 6.022 x 10^23 atoms/mol = 6.022 x 10^22 copper atoms
Therefore, there are approximately 6.022 x 10^22 copper atoms in a 1 naira coin that weighs 7.39g and is made of 86% copperp