how much heat is absorbed when $45.00\text{ g}$ of $\text{c}(s)$ reacts in the presence of excess $\text{so}_2(g)$ to produce $\text{cs}_2(l)$ and $\text{co}(g)$ according to the following chemical equation?

\5\text{ c}(s) + 2\text{ so}_2(g) \
ightarrow \text{cs}_2(l) + 4\text{ co}(g) \quad \delta h^\circ = 239.9\text{ kj}\

- $179.8\text{ kj}$
- $239.9\text{ kj}$
- $898.5\text{ kj}$
- $2158\text{ kj}$

Question

how much heat is absorbed when $45.00\text{ g}$ of $\text{c}(s)$ reacts in the presence of excess $\text{so}_2(g)$ to produce $\text{cs}_2(l)$ and $\text{co}(g)$ according to the following chemical equation?

\5\text{ c}(s) + 2\text{ so}_2(g) \
ightarrow \text{cs}_2(l) + 4\text{ co}(g) \quad \delta h^\circ = 239.9\text{ kj}\

- $179.8\text{ kj}$
- $239.9\text{ kj}$
- $898.5\text{ kj}$
- $2158\text{ kj}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Stoichiometry" ], "new_concepts": [ "Thermochemical Equations", "Enthalpy of Reaction" ], "current_concepts": [ "Stoichiometry", "Thermochemical Equations", "Enthalpy of Reaction" ] } ## Convert mass of carbon to moles Using the *Stoichiometry* knowledge point $$ \begin{aligned} M(\text{C}) &= 12.011\text{ g/mol}\ n(\text{C}) &= \frac{45.00\text{ g}}{12.011\text{ g/mol}} \approx 3.7466\text{ mol} \end{aligned} $$ ## Relate moles of carbon to reaction enthalpy Using the *Stoichiometry* knowledge point $$ \begin{aligned} q &= n(\text{C}) \times \frac{\Delta H^\circ}{5\text{ mol C}}\ q &= 3.7466\text{ mol} \times \frac{239.9\text{ kJ}}{5\text{ mol}} \end{aligned} $$ ## Calculate the heat absorbed Using the *Stoichiometry* knowledge point $$ \begin{aligned} q &\approx 3.7466 \times 47.98\text{ kJ/mol}\ q &\approx 179.8\text{ kJ} \end{aligned} $$

(A) 179.8 kJ

(B) 239.9 kJ

(C) 898.5 kJ

(D) 2158 kJ

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

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QUESTION IMAGE

Question

Explanation:

Convert mass of carbon to moles

Relate moles of carbon to reaction enthalpy

Calculate the heat absorbed

Answer: