An iron ore sample contains Fe₂O₃together with other substances. Reaction of the ore with CO produces iron metal: Fe₂O₃(s) + CO(g) → Fe(s) + CO₂(g) (b) Calculate the number of grams of CO that can react with 0.350 kg of Fe₂O₃. (c) Calculate the number of grams of Fe and the number of grams of CO₂ formed when 0.350 kg of Fe₂O₃ reacts.

검증된 단계별 안내

First, we need to convert the mass of Fe2O3 from kilograms to grams because the molar mass of substances is usually expressed in grams per mole. We know that 1 kg = 1000 g, so multiply 0.350 kg by 1000.

Next, we need to calculate the number of moles of Fe2O3. The molar mass of Fe2O3 is approximately 159.69 g/mol. We can find the number of moles by dividing the mass of Fe2O3 by its molar mass.

From the balanced chemical equation, we can see that one mole of Fe2O3 reacts with one mole of CO. Therefore, the number of moles of CO that can react with Fe2O3 is the same as the number of moles of Fe2O3.

Now, we need to convert the number of moles of CO to grams. The molar mass of CO is approximately 28.01 g/mol. We can find the mass by multiplying the number of moles of CO by its molar mass.

Finally, the number of grams of CO that can react with 0.350 kg of Fe2O3 is the result from the previous step.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It allows us to calculate the amounts of substances consumed and produced in a reaction based on balanced chemical equations. Understanding stoichiometry is essential for determining how much of one substance is needed to react with a given amount of another.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all the atoms in a molecule. In this problem, knowing the molar mass of Fe2O3 and CO is crucial for converting between grams and moles, which is necessary for stoichiometric calculations.

Balanced Chemical Equation

A balanced chemical equation represents a chemical reaction with equal numbers of each type of atom on both sides of the equation. It ensures the law of conservation of mass is upheld. In this case, the balanced equation for the reaction between Fe2O3 and CO provides the mole ratio needed to determine how much CO reacts with a specific mass of Fe2O3.