if 18.5 grams of $\text{cucl}_2$ react with 22.8 grams of $\text{nano}_3$, what mass of $\text{nacl}$ can be formed?

$\text{cucl}_2 + 2\text{nano}_3 \
ightarrow \text{cu(no}_3)_2 + 2\text{nacl}$

- 12.4 g nacl
- 15.7 g nacl
- 16.2 g nacl
- 28.4 g nacl

Question

if 18.5 grams of $\text{cucl}_2$ react with 22.8 grams of $\text{nano}_3$, what mass of $\text{nacl}$ can be formed?

$\text{cucl}_2 + 2\text{nano}_3 \
ightarrow \text{cu(no}_3)_2 + 2\text{nacl}$

- 12.4 g nacl
- 15.7 g nacl
- 16.2 g nacl
- 28.4 g nacl

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", "Stoichiometric Calculations" ], "new_concepts": [ "Limiting Reactant" ], "current_concepts": [ "Molar Mass Calculation", "Mole to Mass Conversion", "Stoichiometric Calculations", "Limiting Reactant" ] } ## Calculate moles of each reactant $$ \begin{aligned} M(\text{CuCl}_2) &= 63.55 + 2 \times 35.45 = 134.45\text{ g/mol} \ n(\text{CuCl}_2) &= \frac{18.5\text{ g}}{134.45\text{ g/mol}} \approx 0.1376\text{ mol} \ M(\text{NaNO}_3) &= 22.99 + 14.01 + 3 \times 16.00 = 85.00\text{ g/mol} \ n(\text{NaNO}_3) &= \frac{22.8\text{ g}}{85.00\text{ g/mol}} \approx 0.2682\text{ mol} \end{aligned} $$ ## Determine the limiting reactant $$ \begin{aligned} \text{Required ratio: } &\frac{n(\text{NaNO}_3)}{n(\text{CuCl}_2)} = \frac{2}{1} = 2 \ \text{Actual ratio: } &\frac{0.2682}{0.1376} \approx 1.949 < 2 \ \Rightarrow &\text{NaNO}_3\text{ is the limiting reactant.} \end{aligned} $$ ## Calculate the mass of NaCl formed $$ \begin{aligned} n(\text{NaCl}) &= n(\text{NaNO}_3) = 0.2682\text{ mol} \ M(\text{NaCl}) &= 22.99 + 35.45 = 58.44\text{ g/mol} \ m(\text{NaCl}) &= 0.2682\text{ mol} \times 58.44\text{ g/mol} \approx 15.67\text{ g} \approx 15.7\text{ g} \end{aligned} $$

(A) 12.4 g NaCl

(B) 15.7 g NaCl

(C) 16.2 g NaCl

(D) 28.4 g NaCl

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

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Question

Explanation:

Calculate moles of each reactant

Determine the limiting reactant

Calculate the mass of NaCl formed

Answer: