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If 6.60 moles h2 are made to react with 4.42 moles n2, how many moles nh3 will be produced? *

Sagot :

SOLUTION:

Step 1: Write the balanced chemical equation.

N₂ + 3H₂ → 2NH₃

Step 2: Calculate the number of moles of NH₃ formed by each reactant.

• Using N₂

Based on the balanced chemical equation, 1 mole of N₂ is stoichiometrically equivalent to 2 moles of NH₃.

[tex]\begin{aligned} \text{moles of} \: \text{NH}_3 & = \text{4.42 mol} \: \text{N}_2 \times \frac{\text{2 mol} \: \text{NH}_3}{\text{1 mol} \: \text{N}_2} \\ & = \text{8.84 mol} \end{aligned}[/tex]

• Using H₂

Based on the balanced chemical equation, 3 moles of H₂ is stoichiometrically equivalent to 2 moles of NH₃.

[tex]\begin{aligned} \text{moles of} \: \text{NH}_3 & = \text{6.60 mol} \: \text{H}_2 \times \frac{\text{2 mol} \: \text{NH}_3}{\text{3 mol} \: \text{H}_2} \\ & = \text{4.40 mol} \end{aligned}[/tex]

Step 3: Determine the limiting reagent.

Since H₂ produced less amount of NH₃ than N₂, H₂ is the limiting reagent.

Step 4: Determine the number of moles of NH₃ formed.

Note that the number of moles of a product formed is dictated by the limiting reagent.

[tex]\text{moles of} \: \text{NH}_3 = \boxed{\text{4.40 mol}}[/tex]

Hence, the number of moles of NH₃ that will be produced is 4.40 mol.

[tex]\\[/tex]

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