The mole is defined as the amount of a substance containing the same number of particles as

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The mole is defined as the amount of a substance containing the same number of particles as exactly 12 g of C-12. The amu is defined as 1/12 of the mass of an atom of C-12. Why is it important that both of these definitions reference the same isotope?

What would be the result, for example, of defining the mole with respect to C-12, but the amu with respect to Ne-20?

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