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This is a Chapter 9 question. Refer to section 9-3 of the workbook and use Interactive example 9-4 to help you.The combustion of butane produces the greenhouse gas, CO2 and water vapour.2 C4H10(g) + 13 O2(g) → 8 CO2(g) + 10 H2O(g)(a) What is the mass of O2 required to react with 382.5382.5  g of butane gas, C4H10?

Question

This is a Chapter 9 question. Refer to section 9-3 of the workbook and use Interactive example 9-4 to help you.The combustion of butane produces the greenhouse gas, CO2 and water vapour.2 C4H10(g) + 13 O2(g) → 8 CO2(g) + 10 H2O(g)(a) What is the mass of O2 required to react with 382.5382.5  g of butane gas, C4H10?

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Solution

Para resolver esta pregunta, debemos seguir los siguientes pasos:

  1. Escribir la ecuación balanceada de la reacción: 2C4H10(g)+13O2(g)8CO2(g)+10H2O(g) 2 \text{C}_4\text{H}_{10}(g) + 13 \text{O}_2(g) \rightarrow 8 \text{CO}_2(g) + 10 \text{H}_2\text{O}(g)

  2. Calcular la masa molar del butano (C4H10):

    • Carbono (C): 12.01 g/mol
    • Hidrógeno (H): 1.01 g/mol Masa molar de C4H10=4×12.01+10×1.01=48.04+10.10=58.14 g/mol \text{Masa molar de C}_4\text{H}_{10} = 4 \times 12.01 + 10 \times 1.01 = 48.04 + 10.10 = 58.14 \text{ g/mol}
  3. Calcular la cantidad de moles de butano (C4H10) en 382.5 g: Moles de C4H10=382.5 g58.14 g/mol6.58 moles \text{Moles de C}_4\text{H}_{10} = \frac{382.5 \text{ g}}{58.14 \text{ g/mol}} \approx 6.58 \text{ moles}

  4. Usar la estequiometría de la reacción para encontrar los moles de O2 necesarios: Según la ecuación balanceada, 2 moles de C4H10 reaccionan con 13 moles de O2. Moles de O2=6.58 moles de C4H10×13 moles de O22 moles de C4H1042.77 moles de O2 \text{Moles de O}_2 = 6.58 \text{ moles de C}_4\text{H}_{10} \times \frac{13 \text{ moles de O}_2}{2 \text{ moles de C}_4\text{H}_{10}} \approx 42.77 \text{ moles de O}_2

  5. Calcular la masa molar del oxígeno (O2):

    • Oxígeno (O): 16.00 g/mol Masa molar de O2=2×16.00=32.00 g/mol \text{Masa molar de O}_2 = 2 \times 16.00 = 32.00 \text{ g/mol}
  6. Calcular la masa de O2 requerida: Masa de O2=42.77 moles×32.00 g/mol1368.64 g \text{Masa de O}_2 = 42.77 \text{ moles} \times 32.00 \text{ g/mol} \approx 1368.64 \text{ g}

Por lo tanto, la masa de O2 requerida para reaccionar con 382.5 g de butano es aproximadamente 1368.64 g.

This problem has been solved

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