Write a thermochemical equation for the formation of aluminum oxide, if it is known that the combustion

Write a thermochemical equation for the formation of aluminum oxide, if it is known that the combustion of aluminum weighing 9 g is accompanied by the release of heat in the amount of 279.2 kJ.

Given:
m (Al) = 9
Q (conv.) = 279.2 kJ
Make a thermochemical equation.
Decision:
1) Let’s compose the reaction equation:
4Al + 3O2 = 2Al2O3 + Q | Al – 4 mol, Q – x kJ
2) Find v (nu) – the amount of substance for Al:
v (Al) = m (Al) / M (Al)
M (Al) = 27 g / mol
v (Al) = 9/27 = 0.33 mol
3) Let us compose the ratio of the amounts of Al substances to the amount of heat released and express it through the proportion:
0.33 mol: 4 mol = 279.2 kJ: x kJ
0.33 / 4 = 279.2 / x
x = 4 * 279.2 / 0.33 = 3384.24 kJ
4Al + 3O2 = 2Al2O3 + 3384.24 kJ
Answer: 4Al + 3O2 = 2Al2O3 + 3384.24 kJ



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