Final answer:
To balance the equation H2O2(l) -> H2(g) + O2(g), put a coefficient of 2 in front of H2O2 to obtain the balanced equation 2 H2O2(aq) -> O2(g) + 2 H2O(aq).
Step-by-step explanation:
To balance the equation H2O2(l) -> H2(g) + O2(g), you need to ensure that the number of atoms of each element is the same on both sides of the equation. In this case, you can balance the equation by putting a coefficient of 2 in front of H2O2 in the reactants, resulting in the balanced equation 2 H2O2(aq) -> O2(g) + 2 H2O(aq). Now, there are four hydrogens and four oxygens on both sides of the equation, satisfying the law of conservation of matter.