To find the number of molecules of water produced, we can use the coefficient ratio from the balanced equation.

From the equation, we see that 4 moles of NH3 produces 6 moles of H2O.
Therefore, 1 mol of NH3 produces (6/4) = 1.5 moles of H2O.

Since 4 moles of NH3 produces 7 moles of O2, we can use this ratio to find the moles of O2 produced from 1.76 mol of NO2.

Using the ratio 4 moles of NH3 to 7 moles of O2, we can set up the following proportion:

(1.76 mol NO2) / (4 mol NH3) = (x mol O2) / (7 mol O2)

Cross-multiplying gives us:

(1.76 mol NO2)(7 mol O2) = (4 mol NH3)(x mol O2)

12.32 mol O2 = 4x mol O2

x = (12.32 mol O2) / 4 = 3.08 mol O2

Since 4 moles of NH3 produces 6 moles of H2O, we can use this ratio to find the moles of H2O produced from 3.08 mol of O2.

Using the ratio 4 moles of NH3 to 6 moles of H2O, we can set up the following proportion:

(3.08 mol O2) / (4 mol NH3) = (x mol H2O) / (6 mol H2O)

Cross-multiplying gives us:

(3.08 mol O2)(6 mol H2O) = (4 mol NH3)(x mol H2O)

18.48 mol H2O = 4x mol H2O

x = (18.48 mol H2O) / 4 = 4.62 mol H2O

Therefore, 4.62 mol of H2O is produced.

To find the number of molecules, we can use Avogadro's number, which is approximately 6.022 × 10^23 molecules/mol.

Number of molecules = (4.62 mol H2O) * (6.022 × 10^23 molecules/mol) = 2.78 × 10^24 molecules

Therefore, the correct answer is e. none of these.

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