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The chemical equation for the decomposition of H2O2 is 2 H2O2 -> 2 H2O + O2. This shows that two moles of H2O2 are required to produce each mole of O2.

By definition, a 0.500 M solution of H2O2 contains 0.500 moles of H2O2 in each liter of solution. Solutions are always homogeneous; therefore, 50,0 mL of such a solution will contain (0.500)(50.0/1000) or 0.0250 moles of H2O2. As noted in the first paragraph, this will produce half as many, or 0.0125, moles of O2. The gram molar mass of O2 is twice the gram Atomic Mass of oxygen, or 31.9988. Therefore, decomposition of this amount of H2O2 will produce 31.9988 X 0.0125 or 0.400 gram of O2, to the justified number of significant digits.

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Q: What if a 50.0 mL o a 0.500 M solution of H2O2 is decomposed what mass of O2 will be produced?
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