Stanton D. answered 05/16/17
Tutor
4.6
(42)
Tutor to Pique Your Sciences Interest
Isaiah,
this is just a small math problem. You must convert back and forth from mol to weight, using the atomic weights of carbon and hydrogen as needed. Hence, 2.18 mol carbon * 12.0107 g/mol carbon = 26.18 g carbon. Since the compound contained only carbon and hydrogen, the remainder 32.0 - 26.18 = 5.82 g is hydrogen. That's 5.82 g / 1.008 g/mol hydrogen = 5.77 mol hydrogen. NOW (and only now) you can work out the ratio of atoms of carbon : atoms of hydrogen = 2.18 : 5.77 . The result = 1 : 2.65 is close enough to 1 : 2+2/3 = 1 : 8/3 to indicate that the empirical formula of the material in question is 3:8 so that would be C3H8 . In this particular instance, you KNOW that this is also the molecular formula, b/c doubling to C6H16 results in an impossible molecule.
(But IF the empirical formula had been C3H6 instead, then doubling to C6H12 would have been a possible molecule -- and therefore the true molecular formula would NOT have been determinable from the data given!)
Hope this helps you understand that shifting back and forth between weights and moles is a very necessary skill.