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50 kg of N2 (g) and 10 kg of H2 (g) are mixed to produce NH3(g). Calculate the NH3 (g)formed . Identify the limiting reagent in the production of NH3in this solution.?
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Calculation of NH3 formed and identification of limiting reagent


Calculation of NH3 formed


  • Balanced chemical equation: N2(g) + 3H2(g) → 2NH3(g)

  • Molar mass of N2 = 28 g/mol, Molar mass of H2 = 2 g/mol, Molar mass of NH3 = 17 g/mol

  • Number of moles of N2 = 50 kg / 28 g/mol = 1785.71 mol

  • Number of moles of H2 = 10 kg / 2 g/mol = 5000 mol

  • The stoichiometric ratio of N2 to NH3 is 1:2, so the maximum number of moles of NH3 that can be produced from N2 is 1785.71/2 = 892.86 mol

  • The stoichiometric ratio of H2 to NH3 is 3:2, so the maximum number of moles of NH3 that can be produced from H2 is 5000/3 x 2 = 3333.33 mol

  • Since NH3 is produced in a 1:2 ratio with N2 and a 3:2 ratio with H2, the limiting reagent is N2 because it produces the smaller amount of NH3.

  • The amount of NH3 produced will be equal to the amount produced from the limiting reagent, which is 892.86 mol.

  • Mass of NH3 produced = 892.86 mol x 17 g/mol = 15188.62 g or 15.19 kg



Identification of limiting reagent


  • The limiting reagent is the reactant that is completely consumed in a chemical reaction and limits the amount of product that can be formed.

  • In this case, the stoichiometric ratio of N2 to NH3 is 1:2, and the stoichiometric ratio of H2 to NH3 is 3:2.

  • To determine the limiting reagent, we need to calculate the amount of product that can be produced from each reactant and compare them.

  • The maximum number of moles of NH3 that can be produced from N2 is 892.86 mol, and the maximum number of moles of NH3 that can be produced from H2 is 3333.33 mol.

  • Since NH3 is produced in a 1:2 ratio with N2 and a 3:2 ratio with H2, the limiting reagent is N2 because it produces the smaller amount of NH3.

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50 kg of N2 (g) and 10 kg of H2 (g) are mixed to produce NH3(g). Calculate the NH3 (g)formed . Identify the limiting reagent in the production of NH3in this solution.?
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