Q.

N2(g)+3H2(g)2NH3(g)  20  g         5g Consider the above reaction, the limiting reagent of the reaction and number of moles of NH3 formed respectively are:

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a

N2,  1.42  moles

b

N2,  0.71  moles

c

H2,  0.71  moles

d

H2,  1.42  moles

answer is C.

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Detailed Solution

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Limiting Reagent in N2 + 3H2 → 2NH3 Reaction

 

In this chemical reaction:

N2 (g) + 3H2 (g) ⇌ 2NH3 (g

We are given:

  • 20 g of N2
  • 5 g of H2

 

Step 1: Calculate the Moles of Each Reactant

Moles of N2 = Mass / Molar Mass = 20 g / 28 g/mol = 0.714 mol

Moles of H2 = Mass / Molar Mass = 5 g / 2 g/mol = 2.5 mol

 

Step 2: Identify the Limiting Reagent

From the balanced equation:

N2 + 3H2 → 2NH3

The mole ratio between N2 and H2 is 1:3. To react completely with 0.714 mol of N2, we need:

Required H2 = 0.714 mol × 3 = 2.142 mol

Since we have 2.5 mol of H2, which is more than the required amount, H2 is in excess.

Thus, the limiting reagent is N2.

 

Step 3: Calculate the Moles of NH3 Formed

From the balanced equation:

1 mol of N2 produces 2 mol of NH3

Moles of NH3 formed = 0.714 mol N2 × 2 = 1.428 mol

 

Final Answer:

The limiting reagent in the reaction is N2 and the number of moles of NH3 formed is 1.428 mol.

 

By understanding the steps above, you can easily determine the limiting reagent and calculate the number of moles of ammonia formed in the reaction. This is crucial in stoichiometry problems and helps predict product quantities accurately.

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