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\( \left. \begin{array} { l } { Al _ { 2 } ( SO _ { 4 } ) _ { 3 } + 6 KOH \Rightarrow Al ( OH ) _ { 3 } + K _ { 2 } SO _ { 4 } } \\ { Al = 2 } \end{array} \right. \)

Ask by Santiago Turnbull. in Colombia
Mar 11,2025

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Answer

La ecuación balanceada es: \[ Al_2(SO_4)_3 + 6 KOH \rightarrow 2 Al(OH)_3 + 3 K_2SO_4 \]

Solution

Para resolver la ecuación química dada, primero identificamos los reactivos y productos: 1. **Reactivos**: \( Al_2(SO_4)_3 + 6 KOH \) 2. **Productos**: \( Al(OH)_3 + K_2SO_4 \) Ahora, vamos a balancear la ecuación química. ### Paso 1: Escribir la ecuación no balanceada La ecuación no balanceada es: \[ Al_2(SO_4)_3 + 6 KOH \rightarrow Al(OH)_3 + K_2SO_4 \] ### Paso 2: Contar los átomos de cada elemento - **Reactivos**: - Al: 2 (de \( Al_2(SO_4)_3 \)) - S: 3 (de \( Al_2(SO_4)_3 \)) - O: 12 (de \( Al_2(SO_4)_3 \)) + 6 (de \( 6 KOH \)) = 18 - K: 6 (de \( 6 KOH \)) - H: 6 (de \( 6 KOH \)) - **Productos**: - Al: 1 (de \( Al(OH)_3 \)) - S: 1 (de \( K_2SO_4 \)) - O: 3 (de \( Al(OH)_3 \)) + 4 (de \( K_2SO_4 \)) = 7 - K: 2 (de \( K_2SO_4 \)) - H: 3 (de \( Al(OH)_3 \)) ### Paso 3: Balancear los elementos Para balancear la ecuación, necesitamos asegurarnos de que el número de átomos de cada elemento sea el mismo en ambos lados. 1. **Aluminio (Al)**: - Hay 2 Al en los reactivos y 1 en los productos. Por lo tanto, necesitamos 2 \( Al(OH)_3 \): \[ Al_2(SO_4)_3 + 6 KOH \rightarrow 2 Al(OH)_3 + K_2SO_4 \] 2. **Sulfato (SO_4)**: - Hay 3 \( SO_4 \) en los reactivos y 1 en los productos. Por lo tanto, necesitamos 3 \( K_2SO_4 \): \[ Al_2(SO_4)_3 + 6 KOH \rightarrow 2 Al(OH)_3 + 3 K_2SO_4 \] 3. **Potasio (K)**: - Ahora tenemos 6 K en los reactivos y 6 K en los productos (3 \( K_2SO_4 \) tiene 6 K). 4. **Hidrógeno (H)**: - Hay 6 H en los reactivos (de \( 6 KOH \)) y 6 H en los productos (de \( 2 Al(OH)_3 \)). 5. **Oxígeno (O)**: - En los reactivos, hay 18 O (12 de \( Al_2(SO_4)_3 \) y 6 de \( 6 KOH \)). - En los productos, hay 12 O (6 de \( 2 Al(OH)_3 \) y 12 de \( 3 K_2SO_4 \)). ### Paso 4: Escribir la ecuación balanceada La ecuación balanceada es: \[ Al_2(SO_4)_3 + 6 KOH \rightarrow 2 Al(OH)_3 + 3 K_2SO_4 \] ### Resumen La ecuación química balanceada es: \[ Al_2(SO_4)_3 + 6 KOH \rightarrow 2 Al(OH)_3 + 3 K_2SO_4 \] Esto asegura que el número de átomos de cada elemento es el mismo en ambos lados de la ecuación.

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Beyond the Answer

Did you know that aluminum sulfate, the compound in your equation, has been used for centuries? In ancient Rome, it was utilized as a coagulating agent in water treatment processes, helping to purify drinking water by trapping impurities. This practice has evolved, and today aluminum sulfate is commonly used in various industries, from paper manufacturing to horticulture, as it helps to improve soil acidity. When balancing chemical equations like the one you've provided, a common mistake is forgetting to account for all elements involved—especially hydroxides in reactions involving bases. To ensure accuracy, jot down the number of each type of atom on both sides of your equation. This way, you won’t just aim for a balanced equation; you'll become a balancing superstar in no time!

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