Final answer:
To convert all the copper ions to copper metal, approximately 12.16 g of magnesium metal is needed.
Step-by-step explanation:
To calculate the minimum mass of magnesium metal needed to convert all the copper ions to copper metal, we need to consider the balanced chemical equation for the reaction:
2Mg + CuSO4 → Cu + MgSO4
From the equation, we see that 2 moles of magnesium react with 1 mole of copper sulfate to produce 1 mole of copper. The molar mass of magnesium is 24.31 g/mol, and the molar mass of copper is 63.55 g/mol.
Therefore, we can set up a proportion to solve for the mass of magnesium:
(2 moles Mg) / (24.31 g) = (1 mole Cu) / x
Solving for x, we find that the minimum mass of magnesium needed is approximately 12.16 g.
Learn more about conversion of copper ions to copper metal