Solving the Mystery of 76 moles of P4O10

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SUMMARY

The discussion clarifies the relationship between moles of the compound P4O10 and its constituent elements. Specifically, 76 moles of P4O10 contain 304 moles of phosphorus (P) because each molecule of P4O10 contains four phosphorus atoms. The confusion arises from conflating the number of moles of the compound with the number of moles of its individual elements. The analogy of a dozen molecules illustrates the distinction between the total number of molecules and the total number of atoms within those molecules.

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Homework Statement


When a problem says 76 moles of P4O10 contains how many moles of P.
I can't seem to see why 76 moles of this molecule would contain more moles in it.

Homework Equations

The Attempt at a Solution


I know the answer is 76 moles of P = 76 * 4
but how could a compound P4O10 that has 76 moles have 76 moles of P and 76 moles of O. in my head that's like saying 25 lb back of wine bottles is 25 lb of wine + 25 lb of bottles. Can anyone help me fix this brain dump?
 
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Mole is a number, like say 10 or a dozen or 512. If you have a dozen molecules of P4O10, then there are four dozens of P and 10 dozens of O in it.
Same with moles.
 
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There's a difference between the number of ##P_4 O_{10}## molecules and the number of ##P## atoms.
 

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