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## Homework Statement

My book says that if the ratio of the masses of the samples is the same as the ratio of the masses of the components then the two samples contain the same number of components. That part makes sense. But how do we know that the same number of components has to be 6.02 x 10^23?

Let's compare natural aluminium (average mass of 12.01 amu) and natural antimony (average mass of 26.98 amu). The overall sample mass of each is 12.01 g and 26.98 g so because the ratio of the sample masses (26.98 g/12.01 g) is equal to the ratio of the masses of the components involved (26.98 amu/12.01 amu) they have the same number of components. Now what is the next step to determining the number of components involved? (I know the rule states that it's 6.02 x 10^23, but I want to know the reasoning behind why)

Thanks for your help!