Moles of N2 = 10 g / 28 g/mol = 0.357 mol
Moles of H2 = Excess (assumed infinite)
The balanced chemical equation for the reaction is:
N2 + 3H2 -> 2NH3
From the stoichiometry of the equation, we see that 1 mole of N2 reacts with 3 moles of H2 to produce 2 moles of NH3. Therefore, N2 is the limiting reactant in this case.
Now we can calculate the moles of NH3 produced:
Moles of NH3 = 0.357 mol N2 * (2 moles NH3 / 1 mole N2) = 0.714 mol NH3
Finally, we calculate the mass of NH3 produced using its molar mass:
Mass of NH3 = 0.714 mol * 17 g/mol = 12.14 g
Therefore, 12.14 g of NH3 is produced from the reaction of 10 g N2 with excess H2.