Final answer:
To calculate the theoretical yield of the solid product, divide the mass of Iron by its molar mass to get moles of Iron. Then use the stoichiometry of the balanced chemical equation to find the moles of the solid product. Theoretical yield of the solid product is 4.11 grams.
Step-by-step explanation:
The theoretical yield in grams of the solid product can be calculated using the given information. First, convert the mass of Iron metal to moles by dividing it by the molar mass of Iron (55.85 g/mol). Then, use the stoichiometric mole ratio from the balanced chemical equation to determine the number of moles of the solid product produced. Finally, multiply the number of moles by the molar mass of the solid product to obtain the theoretical yield in grams.
Given:
Mass of Iron metal (Fe) = 3.88 grams
Molar mass of Iron (Fe) = 55.85 g/mol
Moles of Iron = Mass of Iron metal / Molar mass of Iron
= 3.88 g / 55.85 g/mol
= 0.0695 mol
Stoichiometric ratio of Fe to solid product: 3 Fe: 1 solid product
Moles of solid product = Moles of Iron * (1 mol solid product / 3 mol Fe)
= 0.0695 mol * (1/3)
= 0.0232 mol
Molar mass of solid product = mass of solid product / Moles of solid product
= 4.11 g / 0.0232 mol
= 177.16 g/mol
Theoretical yield of the solid product = Moles of solid product * Molar mass of solid product
= 0.0232 mol * 177.16 g/mol
= 4.11 grams