question 1 (multiple choice worth 4 points)
(05.05r mc)

what mass of $\text{co}$ is needed to react completely with $55.0\text{ g}$ of $\text{fe}_2\text{o}_3$ in the reaction: $\text{fe}_2\text{o}_{3(\text{s})} + 3\text{co}_{(\text{g})} \
ightarrow 2\text{fe}_{(\text{s})} + 3\text{co}_{2(\text{g})}$?

- $4.82\text{ g co}$
- $9.64\text{ g co}$
- $14.5\text{ g co}$
- $28.9\text{ g co}$

Question

question 1 (multiple choice worth 4 points)
(05.05r mc)

what mass of $\text{co}$ is needed to react completely with $55.0\text{ g}$ of $\text{fe}_2\text{o}_3$ in the reaction: $\text{fe}_2\text{o}_{3(\text{s})} + 3\text{co}_{(\text{g})} \
ightarrow 2\text{fe}_{(\text{s})} + 3\text{co}_{2(\text{g})}$?

- $4.82\text{ g co}$
- $9.64\text{ g co}$
- $14.5\text{ g co}$
- $28.9\text{ g co}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Molar Mass Calculation", "Mole to Mass Conversion" ], "new_concepts": [ "Stoichiometric Calculations" ], "current_concepts": [ "Molar Mass Calculation", "Mole to Mass Conversion", "Stoichiometric Calculations" ] } ## Calculate the moles of $\text{Fe}_2\text{O}_3$ $$ \begin{aligned} M(\text{Fe}_2\text{O}_3) &= 2 \times 55.85\text{ g/mol} + 3 \times 16.00\text{ g/mol} = 159.7\text{ g/mol} \ n(\text{Fe}_2\text{O}_3) &= \frac{55.0\text{ g}}{159.7\text{ g/mol}} \approx 0.3444\text{ mol} \end{aligned} $$ ## Determine the required moles of $\text{CO}$ $$ \begin{aligned} \text{Ratio} &= \frac{3\text{ mol CO}}{1\text{ mol Fe}_2\text{O}_3} \ n(\text{CO}) &= 0.3444\text{ mol} \times 3 = 1.0332\text{ mol} \end{aligned} $$ ## Convert moles of $\text{CO}$ to mass $$ \begin{aligned} M(\text{CO}) &= 12.01\text{ g/mol} + 16.00\text{ g/mol} = 28.01\text{ g/mol} \ m(\text{CO}) &= 1.0332\text{ mol} \times 28.01\text{ g/mol} \approx 28.94\text{ g} \approx 28.9\text{ g} \end{aligned} $$

(A) 4.82 g CO

(B) 9.64 g CO

(C) 14.5 g CO

(D) 28.9 g CO

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Chemistry", "Stoichiometry" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the moles of \(\text{Fe}_2\text{O}_3\)

Determine the required moles of \(\text{CO}\)

Convert moles of \(\text{CO}\) to mass

Answer: