Answer:
We need 7.55 grams of PCl3
Explanation:
Step 1: Data given
Mass of Cl2 = 3.90 grams
Mass of PCl5 = 11.45 grams
Molar mass Cl2 = 70.9 g/mol
Molar mass PCl5 = 208.24 g/mol
Step 2: The balanced equation
PCl3 + Cl2 → PCl5
Step 3: calculate moles
Moles = mass / molar mass
Moles Cl2 = 3.90 grams / 70.9 g/mol
Moles Cl2 = 0.0550 moles
Moles PCl5 = 11.45 grams /208.24 g/mol
Moles PCl5 = 0.0550 moles
Step 4: Calculate moles PCl3
For 1 mol PCl3 we need 1 mol Cl2 to produce 1 mol PCl5
For 0.0550 moles PCl5 we will need 0.0550 moles Cl2 and 0.0550 moles PCl3
Step 5: Calculate mass PCl3
Mass PCl3 = moles * molar mass
Mass PCl3 = 0.0550 moles * 137.33 g/mol
Mass PCl3 = 7.55 grams
Without calculating the number of moles:
Mass of Cl2 + mass PCl3 = mass PCl5
Mass PCl3 = 11.45 - 3.90 = 7.55 grams
We need 7.55 grams of PCl3