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Moles to Moles Calculations

When we write a balanced equation...for example:

We are saying that for every 2 moles of H2O2 that decompose, we get 2 moles of H2O and 1 mole of O2.

But suppose we didn't start out with 2 moles of H2O2. Suppose we started out with 1 mole of H2O2.

I hope you see that we would get 1 mole of H2O and 1/2 mole of O2. Halving the starting material gives half the products.

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