Answer :

The theoretical yield of iron (55.845 g/mol) when 10.0 g Fe₂O₃ (159.69 g/mol) reacts with excess carbon (12.01 g/mol) is 6.99 g.

the balance equation is given as :

Fe₂O₃   +  3C     ---->    2Fe   +   3CO

the mass of Fe₂O₃  = 10 g

molar mass of Fe₂O₃  = 159.69 g / mol

the number of moles of Fe₂O₃  = mass / molar mass

                                                    = 10 / 159.69

                                                    = 0.062 mol

1 mole of Fe₂O₃  produce 2 mole of Fe

0.062 mol of Fe₂O₃  = 2 × 0.062 = 0.125 mol of Fe

mole of Fe = 0.125 mol

molar mass of Fe = 55.8 g/mol

mass of Fe = 0.125 × 55.5

                  = 6.99 g

The theoretical yield = 6.99 g

Thus, The theoretical yield of iron (55.845 g/mol) when 10.0 g Fe₂O₃ (159.69 g/mol) reacts with excess carbon (12.01 g/mol) is 6.99 g.

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