A common demonstration in chemistry courses involves adding a tiny speck of manganese(IV) oxide to a concentrated hydrogen peroxide $\left(\mathrm{H}_{2} \mathrm{O}_{2}\right)$ solution. Hydrogen peroxide decomposes quite spectacularly under these conditions to produce oxygen gas and steam (water vapor). Manganese(IV) oxide is a catalyst for the decomposition of hydrogen peroxide and is not consumed in the reaction. Write the balanced equation for the decomposition reaction of hydrogen peroxide.

Short Answer

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The balanced equation for the decomposition of hydrogen peroxide (\(\mathrm{H}_{2}\mathrm{O}_{2}\)) is: \[ 2\, \mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{O}_{2} + 2\, \mathrm{H}_{2}\mathrm{O} \]

Step by step solution

01

Write the unbalanced chemical equation for the decomposition of hydrogen peroxide.

The decomposition reaction of hydrogen peroxide (\(\mathrm{H}_{2}\mathrm{O}_{2}\)) produces oxygen gas (O\(_{2}\)) and water vapor (H\(_{2}\)O): \[ \mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{O}_{2} + \mathrm{H}_{2}\mathrm{O} \]
02

Balance the chemical equation.

To balance the equation, we need to account for all of the atoms on both sides of the equation. Currently, there are 2 hydrogen atoms and 2 oxygen atoms on the left side of the equation and 3 oxygen atoms and 2 hydrogen atoms on the right side. To balance the equation, we will need two molecules of hydrogen peroxide and two molecules of water on the right side: \[ 2\, \mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{O}_{2} + 2\, \mathrm{H}_{2}\mathrm{O} \] Now, there are a total of 4 hydrogen atoms and 4 oxygen atoms on both sides of the equation, so the equation is balanced.

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