To calculate the mass percent of each compound in the sample, we'll first determine the moles of each element (Na, O, Cl) in the given percentages and then use that information to find the mass percent of each compound.
Moles of Na (Sodium):
The percentage of Na is 34.573%. To find the moles of Na, assume you have 100 grams of the sample (this doesn't affect the percentage calculations, as we're calculating percentages based on a 100g sample):
Moles of Na = (34.573 grams / 22.98977 g/mol) ≈ 1.501 moles
Moles of O (Oxygen):
The percentage of O is 39.67%. Again, assuming a 100g sample:
Moles of O = (39.67 grams / 15.999 g/mol) ≈ 2.480 moles
Moles of Cl (Chlorine):
The percentage of Cl is 14.44%. Using the same assumption:
Moles of Cl = (14.44 grams / 35.453 g/mol) ≈ 0.407 moles
Now, we need to use the stoichiometry of each compound to determine how many moles of each compound are present:
NaCl has 1 Na and 1 Cl per molecule.
Na2SO4 has 2 Na, 1 S, and 4 O per molecule.
NaNO3 has 1 Na, 1 N, and 3 O per molecule.
Let's calculate the moles of each compound:
Moles of NaCl = (1.501 moles Na) / (1 mole NaCl) = 1.501 moles
Moles of Na2SO4 = (1.501 moles Na) / (2 moles Na2SO4) = 0.7505 moles
Moles of NaNO3 = (1.501 moles Na) / (1 mole NaNO3) = 1.501 moles
Now, we can calculate the mass of each compound:
Mass of NaCl = (1.501 moles NaCl) * (58.442 g/mol NaCl) = 87.85 grams
Mass of Na2SO4 = (0.7505 moles Na2SO4) * (142.043 g/mol Na2SO4) = 106.58 grams
Mass of NaNO3 = (1.501 moles NaNO3) * (85.00 g/mol NaNO3) = 127.61 grams
Finally, calculate the mass percent of each compound:
Mass percent of NaCl = (87.85 grams / 100 grams) * 100% ≈ 87.85%
Mass percent of Na2SO4 = (106.58 grams / 100 grams) * 100% ≈ 106.58%
Mass percent of NaNO3 = (127.61 grams / 100 grams) * 100% ≈ 127.61%
Please note that the mass percents calculated are greater than 100%. This suggests that there might be an error in the given data or the analysis, as the sum of the mass percents of individual compounds in a mixture should add up to 100%.