type the correct answer in the box. express the answer to three significant figures.\ngiven:\nch₄ + 2o₂ →…

type the correct answer in the box. express the answer to three significant figures.\ngiven:\nch₄ + 2o₂ → co₂ + 2h₂o, δh = -890 kj/mol\nhow much energy is released when 59.7 grams of methane (ch₄) reacts with oxygen?\nthe combustion of 59.7 grams of methane releases \nkilojoules of energy.

type the correct answer in the box. express the answer to three significant figures.\ngiven:\nch₄ + 2o₂ → co₂ + 2h₂o, δh = -890 kj/mol\nhow much energy is released when 59.7 grams of methane (ch₄) reacts with oxygen?\nthe combustion of 59.7 grams of methane releases \nkilojoules of energy.

Answer

Answer:

3.31×10³

Explanation:

Step1: Calculate molar mass of CH₄

The molar mass of C is 12.01 g/mol and H is 1.01 g/mol. For CH₄, molar mass $M=(12.01 + 4\times1.01)\text{ g/mol}=16.05\text{ g/mol}$.

Step2: Calculate moles of CH₄

Number of moles $n=\frac{m}{M}$, where $m = 59.7\text{ g}$ and $M = 16.05\text{ g/mol}$. So $n=\frac{59.7}{16.05}\text{ mol}\approx3.72\text{ mol}$.

Step3: Calculate energy released

Given $\Delta H=- 890\text{ kJ/mol}$, energy released $E = |\Delta H|\times n=890\text{ kJ/mol}\times3.72\text{ mol}\approx3310.8\text{ kJ}$. Rounding to three - significant figures, we get $3.31\times 10^{3}\text{ kJ}$.