Respuesta :
Theoretical yield in grams for this reaction under given condition is 6.341 grams
calculation
write the reacting equation
3 H2 + N2 → 2NH3
find the moles of each reactant
moles =mass/molar mass
moles of H2 = 1.12g/2 g/mol = 0.56 moles
moles of N2 = 9.72 g/28 g/mol = 0.341 moles
by use of mole ratio between H2 to NH3 which is 3: 2 the moles of NH3 = 0.56 x 2/3= 0.373 moles
by use of mole ratio between N2 to NH3 which is 1: 2 the moles of NH3 = 0.341 x2/1 = 0.682 moles
this relationship show that H2 is the limiting reagent hence the moles of NH3 = 0.373 moles
The theoretical mass = moles of NH3 x molar mass of NH3
molar mass of NH3 = 14+ 3 = 17 g/mol
theoretical mass is therefore = 17 g/mol x 0.373 moles =6.341 grams
calculation
write the reacting equation
3 H2 + N2 → 2NH3
find the moles of each reactant
moles =mass/molar mass
moles of H2 = 1.12g/2 g/mol = 0.56 moles
moles of N2 = 9.72 g/28 g/mol = 0.341 moles
by use of mole ratio between H2 to NH3 which is 3: 2 the moles of NH3 = 0.56 x 2/3= 0.373 moles
by use of mole ratio between N2 to NH3 which is 1: 2 the moles of NH3 = 0.341 x2/1 = 0.682 moles
this relationship show that H2 is the limiting reagent hence the moles of NH3 = 0.373 moles
The theoretical mass = moles of NH3 x molar mass of NH3
molar mass of NH3 = 14+ 3 = 17 g/mol
theoretical mass is therefore = 17 g/mol x 0.373 moles =6.341 grams
H₂ is the limiting reactant and the theoretical yield is 6.31 g of NH₃.
Further Explanation
In order to determine the theoretical yield, the following steps must be done:
- Write the balanced chemical equation.
- Determine the limiting reactant. This is the reactant that will determine the amount of NH₃ that will actually form.
- Determine the theoretical yield for NH₃ when the limiting reactant is used.
STEP 1. The balanced chemical equation for the given reaction is:
3 H₂ + N₂ → 2 NH₃
STEP 2. Determining the Limiting Reactant
The Limiting Reactant (LR) will produce fewer moles of the products. To check which of the reactants H₂ or N₂ is the LR ,do dimensional analysis:
- For H₂:
[tex]mol \ of \ NH_3 \ produced = 1.12 \ g \ H_2 \times (\frac{1 \ mol H_2}{2.016 \ g \ H_2}) (\frac{2 \ mol \ NH_3}{3 \ mol \ H_2})\\ \\\boxed {mol \ of \ NH_3 \ produced = 0.3704 \ mol}[/tex]
- For N₂:
[tex]mol \ of \ NH_3 \ produced = 9.72 \ g \ N_2 \times (\frac{1\ mol \ N_2}{28.014 \ g \ N_2}) (\frac{2 \ mol \ NH_3}{1 \ mol \ N_2})\\\boxed {mol \ of \ NH_3 \ produced = 0.6939 \ mol}[/tex]
Since H₂ produces fewer moles of NH₃, then it is the limiting reactant. Its given amount will be used to determine the theoretical yield.
STEP 3. Determining the Theoretical Yield
From Step 2 it is known that 0.3704 moles of NH₃ will be produced. This needs to be converted to grams.
[tex]mass \ of \ NH_3 \ produced = 0.3704 \ mol \ NH_3 \times (\frac{17.031 \ g \ NH_3}{1 \ mol \ NH_3})\\mass \ of \ NH_3 \ = 6.308 \ g\\\boxed {\boxed {mass \ of \ NH_3 \ produced = 6.31 \ g}}[/tex]
Since the answer only requires 3 significant figures, the final answer is 6.31 grams NH₃.
Learn More
- Learn More about Limiting Reactant brainly.com/question/7144022
- Learn More about Excess Reactant brainly.com/question/6091457
- Learn More about Stoichiometry brainly.com/question/9743981
Keywords: stoichiometry, theoretical yield