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N2(g) + 3 H2(g) ---> 2 HN3(g) (blanced)

If 5.42 g of nitrogen are reacted with 5.42 g of hydrogen gas, which of the reactants is the limiting reactant?

Molar Mass of N2 = 28.02 g/mol
Molar Mass of H2 = 2.02 g/mol
Molar Mass of NH3 = 17.04 g/mol

Respuesta :

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Answer:

N₂

Explanation:

The limiting reactant is the one that gives the smaller amount of product.

Assemble all the data in one place, with molar masses above the formulas and masses below them.

M_r:   28.02  2.02     17.04  

             N₂ + 3H₂ ⟶ 2NH₃

m/g:    5.42  5.42

1. Calculate the moles of each reactant  

[tex]\text{Moles of N}_{2} = \text{5.42 g} \times \dfrac{\text{1 mol}}{\text{28.02 g}} = \text{0.1934 mol N}_{2}\\\\\text{Moles of H}_{2} = \text{5.42 g} \times \dfrac{\text{1 mol}}{\text{2.02 g}} = \text{2.683 mol H}_{2}[/tex]

2. Identify the limiting reactant  

Calculate the moles of NH₃ we can obtain from each reactant.

From N₂:  

The molar ratio of NH₃:N₂ is 2:1.

[tex]\text{Moles of NH}_{3} = \text{0.1934 mol N}_{2} \times \dfrac{\text{2 mol NH}_{3}}{\text{1 mol N}_{2}} = \text{0.3867 mol NH}_{3}[/tex]

From H₂:

The molar ratio of NH₃:H₂ is 3:2.  

[tex]\text{Moles of NH}_{3} = \text{2.683 mol H}_{2} \times \dfrac{\text{2 mol NH}_{3}}{\text{3 mol N}_{2}} = \text{1.789 mol NH}_{3}[/tex]

N₂ is the limiting reactant, because it gives the smaller amount of NH₃.