Given the reaction: Fe + CuO → FeO + Cu, how many grams of Fe are required to react completely with 162.8 grams of CuO?

• A. 162.8 grams
• B. 32.0 grams
• C. 81.4 grams
• D. 57.2 grams

Answer: (D)

Verified step by step guidance

1. Write the balanced chemical equation for the reaction: \(\mathrm{Fe} + \mathrm{CuO} \rightarrow \mathrm{FeO} + \mathrm{Cu}\). Confirm that it is already balanced with a 1:1 mole ratio between Fe and CuO.
2. Calculate the molar mass of copper(II) oxide (CuO) by adding the atomic masses of Cu and O: \(M_{\mathrm{CuO}} = M_{\mathrm{Cu}} + M_{\mathrm{O}}\).
3. Convert the given mass of CuO (162.8 g) to moles using the formula: \(n_{\mathrm{CuO}} = \frac{\text{mass of CuO}}{M_{\mathrm{CuO}}}\).
4. Use the mole ratio from the balanced equation (1 mole Fe reacts with 1 mole CuO) to find the moles of Fe required: \(n_{\mathrm{Fe}} = n_{\mathrm{CuO}}\).
5. Calculate the mass of Fe needed by multiplying the moles of Fe by the molar mass of Fe: \(\text{mass of Fe} = n_{\mathrm{Fe}} \times M_{\mathrm{Fe}}\).