# Aluminum sulfate, Al_2(SO_4)_3, decomposes to form aluminum oxide, Al_2O_3, and sulfur trioxide, SO_3. How do you write the balanced equation for this reaction?

Jan 8, 2016

$A {l}_{2} {\left(S {O}_{4}\right)}_{3}$ $\to$ $A {l}_{2} {O}_{3}$ + $3 S {O}_{3}$

#### Explanation:

Putting 3 as cooefficient for sulfur trioxide will balance the chemical equation. Check the number of atoms of each element by having an inventory.

Reactant Side:
$A l = 2 \times 1 = 2$
$S = 3 \times 1 \times 1 = 3$
$O = 3 \times 4 \times 1 = 12$

Product Side:
$A l = 2 \times 1 = 2$
$S = 1 \times 3 = 3$
$O = 3 \times 1 + 3 \times 3 = 12$