Know what decomposition is. The compound is "breaking down".
Di means 2 while, Tetra means 4.
First, we will simply follow the instructions and break down the compound as so: The decomposition of dinitrogen tetraoxide into nitrogen gas and oxygen gas
*Take into account that diatomic molecules (HNOFClBRI) will always have a subscript of 2
N₂O₄⇒N₂+O₂
After breaking down the compound, we must now balance the equation.
To balance the equation, we must make sure that each element has the same amount of atoms.
Starting with compound at the left of the yield: N=2 and O=4
But, at the right of the yield: N=2 and O=2
We have now discovered that the oxygen gas is not balanced throughout the equation.
N₂O₄⇒N₂+2O₂
*We simply multiply the oxygen gas on the right of the equation by 2
After multiplying, on the right side of the equation, O=4. We now have a balanced equation because all elements have the same amount of atoms on each side.
So your final answer for this balanced decomposition chemical equation is: N₂O₄⇒N₂+O₂