Competency #7

Answer and Explanation

Which of the following chemical equations are balanced?

3 MgO (s) + 2 Fe (s) Fe2O3 (s) + 3 Mg (s)

2 Al (s) + 3 O2 (g) Al2O3 (s)

The correct answer is A: The top equation is balanced but the lower equation is not.

You can make a table for each equation to determine if it is balanced:

3 MgO (s) + 2 Fe (s) Fe2O3 (s) + 3 Mg (s)

Reactants Products Reactants
3 Mg 3
3 O 3
2 Fe 2

From this table, we can see that the above chemical equation is balanced.

2 Al (s) + 3 O2 (g) Al2O3 (s)

Reactants Products Reactants
2 Al 2
6 O 3

We see that this equation is not balanced. :

Alternate Explanation:

We can also draw a more symbolic representation of what is indicated by each chemical equation.

3 MgO (s) + 2 Fe (s) Fe2O3 (s) + 3 Mg (s)

We can draw this as:

MgO FeFeFeOOO Mg

MgO Fe Mg

MgO Mg

In the above reaction, you can see that there are equal numbers of each atom on both sides.

2 Al (s) + 3 O2 (g) Al2O3 (s)

We can draw this as:

Al OO

Al OO AlAlOOO

OO

In the above reaction, you can see that there are NOT equal numbers of each atom on both sides.

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