Answer : The energy released is -3319.7 KJ.
Solution : Given,
Mass of methane = 59.7 g
Molar mass of methane = 16 g/mole
[tex]\Delta H=-890KJ/mole[/tex]
The value of [tex]\Delta H[/tex] is in negative that means the energy is releasing.
First we have to calculate the moles of methane.
Moles of methane = [tex]\frac{\text{ Mass of methane}}{\text{ Molar mass of methane}}= \frac{59.7g}{16g/mole}=3.73moles[/tex]
Now we have to calculate the amount of energy released.
The given reaction is,
[tex]CH_4+2O_2\rightarrow CO_2+2H_2O[/tex]
From the reaction, we conclude that
1 mole of methane releases -890 KJ/mole of energy
3.73 moles of methane releases [tex]\frac{-890KJ/mole}{1mole}\times 3.73mole=-3319.7KJ[/tex] of energy
Therefore, the energy released is -3319.7 KJ.
