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Multiple Choice
Given 10.0 g of phosphorus (P) and 35.0 g of chlorine (Cl2), what mass of phosphorus pentachloride (PCl5) can be produced?
A
58.5 g
B
50.0 g
C
45.0 g
D
65.0 g
Verified step by step guidance
1
Determine the molar mass of phosphorus (P) and chlorine (Cl2). The molar mass of P is approximately 30.97 g/mol, and the molar mass of Cl2 is approximately 70.90 g/mol.
Calculate the number of moles of phosphorus and chlorine. Use the formula: \( \text{moles} = \frac{\text{mass}}{\text{molar mass}} \). For phosphorus, use 10.0 g, and for chlorine, use 35.0 g.
Write the balanced chemical equation for the reaction: \( \text{P} + \frac{5}{2} \text{Cl}_2 \rightarrow \text{PCl}_5 \). This shows that 1 mole of P reacts with 2.5 moles of Cl2 to produce 1 mole of PCl5.
Determine the limiting reactant by comparing the mole ratio of the reactants to the stoichiometric ratio from the balanced equation. The reactant that produces the least amount of product is the limiting reactant.
Calculate the mass of phosphorus pentachloride (PCl5) that can be produced using the moles of the limiting reactant. Use the molar mass of PCl5 (approximately 208.24 g/mol) and the formula: \( \text{mass} = \text{moles} \times \text{molar mass} \).