Ishwar S. answered 08/20/18
Tutor
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University Professor - General and Organic Chemistry
Hello Athena
Al2O3 is an ionic compound consisting of a metal, Al, and a nonmetal O. In ionic compounds, metals will lose electrons to form positive ions (cations) while nonmetals will gain electrons to form negative ions (anions).
Since Al is in Group #13 (or Group 3A) of the main elements, it will lose 3 electrons to form Al3+ cation.
Since O is in Group #16 (or Group 6A) of the main elements, it will gain 2 electrons to form O2- anion.
In a "neutral" ionic compound, the sum of the charges of the cations and anions MUST ALWAYS equal zero.
Therefore, it you start with one Al3+ and one O2-, the sum of the charges of these 2 ions is +3 -2 = +1.
If we have one Al3+ and two O2- ions, the sum of the charges is +3 -2 -2 = -1
If we have two Al3+ and two O2- ions, the sum of the charges is +3 +3 -2 -2 = +2
If we have two Al3+ and three O2- ions, the sum of the charges is +3 +3 -2 -2 -2 = 0 !!
This means that the correct chemical formula for aluminum oxide should contain 2 Aluminum atoms and 3 Oxygen atoms, hence, the formula is Al2O3.
Admittedly, this is the longer process for writing chemical formulas, but the faster method is called the "cris cross" method.
To answer your question, let's first write the original reaction where Aluminum reacts with Oxygen to form aluminum oxide.
Al + O2 → Al2O3
According to the Law of Conservation of Mass, the # of atoms of the elements on the left (reactant) side of the equation must equal the # of atoms on the right (product) side. To "balance" the atoms, you have to use coefficients, which are whole numbers written in front of the chemical symbol for an element and in front of formulas for compounds.
Start by balancing O. Left side has 2, right side has 3. When you have odd-even numbers, the key is to find a common factor, which in this case is 6 (2 x 3). Place a coefficient of 3 in front of O2 and a coefficient of 2 in front of Al2O3.
Al + 3O2 → 2Al2O3
The oxygens are balanced, but Al is not. Now let's balance Al.
Left side has 1, right side has 4 (2Al2 is 2 x 2). Place a 4 in front of the symbol for Al.
4Al + 3O2 → 2Al2O3
The reaction is now balanced! Even after completing this entire process, always double check to ensure the coefficients used are correct.
Hope the above was helpful!