Well, it seems like you're in deep water with those calculations! But don't worry, I won't make any waves. So, let's dive right in!
From the balanced equation, we know that 4 moles of NH3 produce 6 moles of H2O. That means 2 moles of NH3 will produce 3 moles of H2O. So, multiplying 2.25 moles of NH3 by the conversion factor (6 moles H2O/4 moles NH3) gives us the number of moles of H2O:
2.25 moles NH3 x (6 moles H2O/4 moles NH3) = 3.375 moles H2O.
Now, to determine the number of molecules of H2O, we use Avogadro's number (6.02 x 10^23 molecules per mole):
3.375 moles H2O x (6.02 x 10^23 molecules/1 mole) = 2.0325 x 10^24 molecules of H2O.
So, it looks like we made quite a splash! The correct number of molecules of water produced is approximately 2.03 x 10^24. Just remember, when it comes to calculations, water you waiting for? Dive right in and double-check those numbers!