The heat of combustion of methane is 213 kcal/mol. How many kcal of energy are released when 22.5 moles of CH4 burns in an excess of oxygen gas?

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To find out how many kcal of energy are released when 22.5 moles of CH4 burns, you can use the concept of stoichiometry. The balanced chemical equation for the combustion of methane (CH4) is:

CH4 + 2O2 -> CO2 + 2H2O

From the balanced equation, we can see that for every 1 mole of CH4 burned, it produces 2 moles of water (H2O). Therefore, for 22.5 moles of CH4 burned, it will produce 2 * 22.5 = 45 moles of water.

Next, we need to calculate the energy released per mole of CH4 burned. The heat of combustion of methane is given as 213 kcal/mol. This means that for every mole of CH4 burned, it releases 213 kcal of energy.

Now, we can calculate the total energy released when 22.5 moles of CH4 burns. Multiply the number of moles by the energy released per mole:

Total energy released = 22.5 moles * 213 kcal/mol = 4,792.5 kcal

Therefore, when 22.5 moles of CH4 burns in an excess of oxygen gas, 4,792.5 kcal of energy are released.

What do you think the answer is?