How do you find how many carbon atoms are there in 0.24 grams of carbon? Given the information provided is molar volume at 24.47 at STP

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You don't even need the molar volume number that you give above to figure this out.  You need to calculate the number of moles of carbon that you have and then use Avogadro's number to determine the number of atoms present.  First, let's convert from grams of carbon to moles of carbon using the atomic weight of carbon (12.011):

0.24 grams C (mole/12.011 grams) = 0.01998 moles C

We know that by definition one mole of a substance is equal to 6.022 x 10^23 units (Avogadro's number) of that substance.  So we can multiply the number of moles of carbon by 6.022 x 10^23 to get the number of atoms of carbon:

0.01998 moles C (6.022 x 10^23 atoms/mole) = 1.203 x 10^22 atoms of carbon

Avogadro, eNotes:

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