How many grams of CO₂ can be produced from the combustion of 2.76 moles of butane according to this equation: 2 C₄H₁₀(g) + 13 O₂ (g) → 8 CO₂ (g) + 10 H₂O (g)

Respuesta :

Answer:

485.76 g of CO₂ can be made by this combustion

Explanation:

Combustion reaction:

2 C₄H₁₀(g) + 13 O₂ (g) → 8 CO₂ (g) + 10 H₂O (g)

If we only have the amount of butane, we assume the oxygen is the excess reagent.

Ratio is 2:8. Let's make a rule of three:

2 moles of butane can produce 8 moles of dioxide

Therefore, 2.76 moles of butane must produce (2.76 . 8)/ 2 = 11.04 moles of CO₂

We convert the moles to mass → 11.04 mol . 44g / 1 mol = 485.76 g

"485.76" grams of  CO₂ can be produced.

Given equation,

→ 2 C₄H₁₀(g) + 13 O₂ (g) → 8 CO₂ (g) + 10 H₂O (g)

According to the balanced equation,

  • 2 moles of butane gives 8 moles of [tex]CO_2[/tex]
  • 2.76 moles of  butane given "Y" moles of [tex]CO_2[/tex]

then,

→ [tex]Y = \frac{8 \ mol \ CO_2\times 2.76 \ mol \ butane}{2 \ mol \ C_4 H_{10}}[/tex]

      [tex]= 11.04 \ moles \ of \ CO_2[/tex] (produced)

hence,

Mass of CO₂ = Moles × Molar mass of CO₂

                         = [tex]11.04\times 44[/tex]

                         = [tex]485.76 \ g[/tex]

Thus the above approach is right.

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