Calculate the enthalpy change in KJ for the following reaction 2AL(s) +2 Fe(s)- 2Fe (s)+Al2O3(s)?

use the enthalpy changes for the composoiton of aluminum and iron

2AL(s)+3/2O2(g)- Al2O3(s)

H=-1669.8KJ

2Fe(s) + 3/2 O2(g)- Fe2O3

H= -824.2KJ

COULD YOU PLEASE SHOW WORKING ON HOW YOU GOT YOUR ANSWER?

Answer:
I think you have made a mistake in typing the equation. The equation should be:

2Al + Fe2O3 ----> Al2O3 + 2Fe
{The aluminothermic process for extraction of iron}

According to Hess' law, the chemical equations can be added or subtracted as if they were algebraic equations. We need to express the above equation in the form of the 2 equations the data of which is provided.

Reversing the second equation, we have
Fe2O3 ----> 2Fe + 3/2 O2 {ΔH = +824.2 kJ}

Adding this to the first equation, we have
2Al + Fe2O3 +3/2 O2 ----> 2Fe + 3/2 O2 + Al2O3
Cancelling the commom O2,
2Al + Fe2O3 ----> 2Fe + Al2O3.
ΔH(reaction) = -1669.8+824.2 =-845.6 kJ

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