A method used to prevent rusting in ships and underground pipelines involves connecting the iron to a block of a more active metal such as magnesium. This method is called cathodic protection. How many moles of magnesium are present in 1 billion (1 x 109) atoms of magnesium?

Question

Accepted Answer

Number of atoms = 1 x 10⁹ atoms

Avogadro's number = N_A = 6.022 x 10²³

Number of moles = $\frac{ ext{Number of atoms}}{N_{A}}$

Number of moles = $\frac{1 imes10^{9}}{6.022 imes10^{23}}$

Number of moles = 0.166 x 10^9-23

Number of moles = 0.166 X 10^-14

Number of moles = 1.66 X 10^-15 moles