Answer: To calculate the mass of copper (Cu) that can be formed by reacting 40g of copper oxide (CuO), we need to first balance the chemical equation for the reaction. The reaction between copper oxide and carbon can be represented as follows:
CuO + C → Cu + CO
Now, we need to determine the stoichiometry of the reaction, which tells us the molar ratio between the reactants and products. From the balanced equation, we can see that 1 mole of CuO reacts with 1 mole of carbon (C) to produce 1 mole of copper (Cu).
1 mol CuO + 1 mol C → 1 mol Cu
Next, we'll calculate the number of moles of CuO (given as 40g) and then use the stoichiometry to find the number of moles of Cu formed. Finally, we'll convert the moles of Cu to grams using the molar mass of copper.
Given:
Molar mass of CuO = 63.55 g/mol (copper) + 16.00 g/mol (oxygen) = 79.55 g/mol
Molar mass of Cu = 63.55 g/mol (copper)
Calculate the number of moles of CuO:
Number of moles = Mass / Molar mass
Number of moles of CuO = 40g / 79.55 g/mol
Determine the number of moles of Cu formed (using stoichiometry):
From the balanced equation, 1 mol of CuO produces 1 mol of Cu.
Number of moles of Cu = Number of moles of CuO
Calculate the mass of Cu formed:
Mass of Cu formed = Number of moles of Cu x Molar mass of Cu
Now, let's proceed with the calculations:
Number of moles of CuO = 40g / 79.55 g/mol ≈ 0.5024 mol
Number of moles of Cu formed = 0.5024 mol
Mass of Cu formed = 0.5024 mol x 63.55 g/mol ≈ 31.9 g
So, approximately 31.9 grams of copper (Cu) can be formed by reacting 40 grams of copper oxide (CuO).