calculate the number of moles in 15.3 grams of ethanol
molar mass ethanol = 46.07 g/mol
moles ethanol = mass ethanol/molar mass of ethanol
moles = 15.3 / 46.07 = 0.3321 moles ethanol
we know that 1-mole releases - 1236 KJ
Standard enthalpy change of combustion, ΔH°
The standard enthalpy change of combustion of a compound is the enthalpy change (delta H) which occurs when one mole of the compound is burned completely in oxygen under standard conditions, and with everything in its standard state.
0.3321 moles ethanol will release 0.3321 moles ethanol* -1236 kJ = -410.4756 kJ
we know that 1 kcal = 4.184 kj so; - 410.4756 KJ * 1 kcal / 4.184 = - 98.1 Kcal
b. According to the statement 3 moles of water are produced in order to release 1236 KJ
find the moles in 42.7 grams of water
molar mass water = 18.015 g/mol
moles = mass / molar mass = 42.7 / 18.015 = 2.37 moles of water
heat released in k = 2.37 moles of water * -1236 KJ / 3 moles water
= -976.44 KJ, this is the amount of heat released, the negative sign indicates heat release