Cl has molar mass = 35.453 g/mole
The being 35.453 u (Atomic Mass Units) implies that this is the mass of one atom of chlorine.
A mole of a substance implies that the quantity has been increased to 6.02 x ##10^23## of that substance just as the term Dozen implies that the quantity is 12.
Once you upscale it to a mole, you simply exchange the units; placing g/mol in the place of u.
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