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Based on Avogadro's concept, one mole of any substance contains Avogadro's number of atoms.

This means that one mole of mercury contains 6.022 * 10^23 atoms. To know how many moles of mercury contain 9.03 *10^24 atoms, all you have to do is cross multiplication as follows:
1 mole .............> 6.022 * 10^23 atoms
?? moles ..........> 9.03 * 10^24 atoms

number of moles = (9.03*10^24 * 1) / (6.022*10^23) = 14.995 moles
As we know that mole is unit of measuring amount or number of atoms, it is an absolute number. One mole is equal to 6.022 X 10^23 atoms. In given problem, we are given 9.03 X 10^24 atoms of mercury. So, number of moles in the given mercury sample will be (9.03 X 10^24)/(6.022 X 10^23). That is, 14.995 ~ 15 moles