suppose a (0.019 ext{m}) aqueous solution of sulfuric acid (( ext{h}_2 ext{so}_4)) is prepared. calculate the equilibrium molarity of ( ext{so}_4^{2-}). youll find information on the properties of sulfuric acid in the aleks data resource.

round your answer to 2 significant digits.

Question

suppose a (0.019	ext{m}) aqueous solution of sulfuric acid ((	ext{h}_2	ext{so}_4)) is prepared. calculate the equilibrium molarity of (	ext{so}_4^{2-}). youll find information on the properties of sulfuric 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", "Polyprotic Acid Equilibrium" ], "new_concepts": [], "current_concepts": [ "Acid Dissociation", "Polyprotic Acid Equilibrium", "Sulfuric Acid Dissociation" ] } ## Definir las reacciones de disociación y constantes $$ \begin{aligned} &\text{Disociación 1 (completa): } \mathrm{H_2SO_4(aq) ightarrow H^+(aq) + HSO_4^-(aq)} \ &[\mathrm{H^+}]_0 = 0.019\text{ M}, \quad [\mathrm{HSO_4^-}]_0 = 0.019\text{ M} \ &\text{Disociación 2 (equilibrio): } \mathrm{HSO_4^-(aq) ightleftharpoons H^+(aq) + SO_4^{2-}(aq)} \ &K_{a2} = 1.2 \times 10^{-2} \quad (\text{dato estándar de ALEKS para } \mathrm{HSO_4^-}) \end{aligned} $$ ## Establecer la ecuación de equilibrio para la segunda disociación $$ \begin{aligned} &K_{a2} = \frac{[\mathrm{H^+}][\mathrm{SO_4^{2-}}]}{[\mathrm{HSO_4^-}]} \ &1.2 \times 10^{-2} = \frac{(0.019 + x)(x)}{0.019 - x} \ &x^2 + 0.031x - 0.000228 = 0 \end{aligned} $$ ## Resolver para x y determinar la molaridad de equilibrio $$ \begin{aligned} &x = \frac{-0.031 + \sqrt{0.031^2 - 4(1)(-0.000228)}}{2} \ &x \approx 0.00595\text{ M} \ &[\mathrm{SO_4^{2-}}] = 6.0 \times 10^{-3}\text{ M} \quad (\text{redondeado a 2 cifras significativas}) \end{aligned} $$ Suppose a 0.019M aqueous solution of sulfuric acid ($\mathrm{H_2SO_4}$) is prepared. Calculate the equilibrium molarity of $\mathrm{SO_4^{2-}}$. Round your answer to 2 significant digits. $6.0 \times 10^{-3}$ $M$ { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Chemistry", "Acid-Base Equilibria" ] }

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Question

Explanation:

Definir las reacciones de disociación y constantes

Establecer la ecuación de equilibrio para la segunda disociación

Resolver para x y determinar la molaridad de equilibrio

Answer: