suppose a (0.49 ext{ m}) aqueous solution of oxalic acid (( ext{h}_2 ext{c}_2 ext{o}_4)) is prepared. calculate the equilibrium molarity of ( ext{c}_2 ext{o}_4^{2-}). youll find information on the properties of oxalic acid in the aleks data resource.

round your answer to 2 significant digits.

Question

suppose a (0.49	ext{ m}) aqueous solution of oxalic acid ((	ext{h}_2	ext{c}_2	ext{o}_4)) is prepared. calculate the equilibrium molarity of (	ext{c}_2	ext{o}_4^{2-}). youll find information on the properties of oxalic acid in the aleks data resource.

round your answer to 2 significant digits.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Acid Dissociation", "Weak Acid Equilibrium" ], "new_concepts": [ "Polyprotic Acid Equilibrium" ], "current_concepts": [ "Acid Dissociation", "Weak Acid Equilibrium", "Polyprotic Acid Equilibrium" ] } ## Calcular la primera disociación del ácido oxálico $$ \begin{aligned} &K_{a1} = 5.9 \times 10^{-2} \ &\text{H}_2\text{C}_2\text{O}_4 ightleftharpoons \text{H}^+ + \text{HC}_2\text{O}_4^- \ &K_{a1} = \frac{x^2}{0.49 - x} = 0.059 \ &x^2 + 0.059x - 0.02891 = 0 \ &x = \frac{-0.059 + \sqrt{0.059^2 - 4(1)(-0.02891)}}{2} \approx 0.1435\text{ M} \ &[\text{H}^+] \approx 0.1435\text{ M}, \quad [\text{HC}_2\text{O}_4^-] \approx 0.1435\text{ M} \end{aligned} $$ ## Calcular la segunda disociación para obtener el oxalato $$ \begin{aligned} &K_{a2} = 6.4 \times 10^{-5} \ &\text{HC}_2\text{O}_4^- ightleftharpoons \text{H}^+ + \text{C}_2\text{O}_4^{2-} \ &K_{a2} = \frac{[\text{H}^+][\text{C}_2\text{O}_4^{2-}]}{[\text{HC}_2\text{O}_4^-]} = \frac{(0.1435 + y)y}{0.1435 - y} \approx y \ &[\text{C}_2\text{O}_4^{2-}] \approx K_{a2} = 6.4 \times 10^{-5}\text{ M} \end{aligned} $$ ## Ajustar a cifras significativas $$ [\text{C}_2\text{O}_4^{2-}] = 6.4 \times 10^{-5}\text{ M} $$ Suppose a $0.49\text{ M}$ aqueous solution of oxalic acid ($\text{H}_2\text{C}_2\text{O}_4$) is prepared. Calculate the equilibrium molarity of $\text{C}_2\text{O}_4^{2-}$. Round your answer to 2 significant digits. $6.4 \times 10^{-5}$ $\text{M}$ { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Chemistry", "Polyprotic Acid Equilibrium" ] }

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Explanation:

Calcular la primera disociación del ácido oxálico

Calcular la segunda disociación para obtener el oxalato

Ajustar a cifras significativas

Answer: