Hello, Jackie,
The answer is easier than you think, since you've already provided the balanced equation for the reaction.
S + 6 HNO3 --> H2SO4 + 6 NO2 + 2 H2O
We can read a balanced equation as either individual atoms/molecules (1 atom of sulfur rectacts with 6 molecules of nitric acid to yield 1 molecule of sulfuric acid, 6 molecules of NO2, and 2 molecules of water), or as moles (1 mole of sulfur reacts with 6 moles of nitric acid, etc.).
The approach to finding the answer you want involves the molar ratio of the two substances in question, HNO3 and H2O. The equation says we get 2 H2O when we start with 6HNO3. We can say:
(2 moles H2O)/(6 moles HNO3)
Note: [We can also invert this conversion factor:
(6 moles HNO3)/(2 moles H2O)]
If we start with 47 moles of HNO3 then the amount of water produced is:
(47 moles HNO3)*(2 moles H2O)/(6 moles HNO3) = (94/6) moles H2O
Or 15.7 moles of water.
If you had asked how many molecules of water are produced with 47 molecules of nitric acid, it would be 15 molecules of water, rounded to the nearest intact molecule.
Bob
Stanton D.
Nice thought about the unsplittable water as molecules.03/04/21