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Multiple Choice
The reaction between nitrogen and hydrogen to form ammonia is carried out in a flask containing 30.5 g of N2 and 8.65 g of H2. What is the theoretical yield of NH3 in grams? N2(g) + 3H2(g) β 2NH3(g)
A
34.0 g
B
25.0 g
C
40.0 g
D
28.0 g
Verified step by step guidance
1
First, calculate the molar mass of N2 and H2. The molar mass of N2 is approximately 28.02 g/mol, and the molar mass of H2 is approximately 2.02 g/mol.
Next, determine the number of moles of N2 and H2 present. Use the formula: \( \text{moles} = \frac{\text{mass}}{\text{molar mass}} \). For N2, divide 30.5 g by 28.02 g/mol. For H2, divide 8.65 g by 2.02 g/mol.
Identify the limiting reactant by comparing the mole ratio from the balanced equation to the moles calculated. The balanced equation is \( \text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3 \). Calculate the required moles of H2 for the moles of N2 and vice versa.
Calculate the theoretical yield of NH3 based on the limiting reactant. Use the stoichiometry from the balanced equation: 1 mole of N2 produces 2 moles of NH3, and 3 moles of H2 produce 2 moles of NH3.
Finally, convert the moles of NH3 to grams using its molar mass (approximately 17.03 g/mol). Use the formula: \( \text{mass} = \text{moles} \times \text{molar mass} \).