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A mole isn't referring to a specific type of unit; instead, it is a numerical representation of whatever object, unit, etc. is at hand. There are 6.022 x 10^23 objects of whatever your measuring. This could be atoms, molecules, Joules, etc. It's just a measurement similar to how a "dozen" works.
If the threshold energy is given in Joules/mole, you just have to divide by Avogadro's number (6.022x10^23) in order to cancel the units. Then you will just have Joules and can use that number in your equations.
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