3.) The smallest value is that of Nitrogen, 0.68. Divide the number of moles of all elements by this:
Carbon : 4.762 / 0.68 = approximately 7
Hydrogen: 6.16 / 0.68 = approximately 9
Oxygen: 1.699 / 0.68 = approximately 2.5
Nitrogen: 0.68 / 0.68 = 1
4.) The formula can be written as C7 H9 N O2.5 . Since you have a decimal 2.5, you must multiply by 2 to make the formula contain only whole numbers. So the empirical formula is C14 H18 N2 O5
Note that if the question had given you masses, rather than percentages, then you could have skipped to step 2 immediately.
Now suppose the question added:
Find the molecular formula of NutraSweet k nowing the molar mass of NutraSweet is 294.30 g/mol.
Here, you just have to find the molecular mass of the empirical formula and then see the ratio between the molecular mass given in the question and that molecular mass. Then, you multiply the empirical formula by that ratio.
So in this example, the molecular mass of the empirical formula is:
Molecular mass of C14 H18 N2 O5 = 14(12) + 18(1) + 2(14) + 5(16) = 294 g/mol .
The ratio is : Molecular Mass Given / Molecular Mass of Empirical Formula = 1/1 = 1.
Here it is clear that the two masses are equal so the empirical formula calculated is in fact the molecuar formula. However, had the ratio been 2 for example, you woud have had to multiply the empirical formula by 2 to obtain the molecular formula.
Hope this was helpful
Regards,
Sami