Answer:
There will be produced 58.14 grams of Cl2; 22.97 grams of N2 and 98.45 grams of HF
Step-by-step explanation:
Step 1: The balanced equation
2ClF3(g) + 2NH3(g) → N2(g) + Cl2(g) + 6HF(g)
Step 2: Data given
Mass of NH3 = 28.0 grams
Molar mass of NH3 = 17.03 grams
Mass of ClF3 = 168.8 grams
Molar mass ClF3 = 92.45 g/mol
Molar mass of N2 = 28.01 g/mol
Molar mass of Cl2 = 70.9 g/mol
Molar mass of HF = 20.01 g/mol
Step 3: Calculate moles
Moles of NH3 = mass NH3 / Molar mass NH3
Moles NH3 = 28.0 / 17.03 = 1.64 moles
Moles ClF3 = mass ClF3 / Molar mass ClF3
Moles ClF3 = 168.8 grams / 92.45 g/mol
Moles ClF3 = 1.83 moles
Step 4: Calculate limiting reactant
For 2 moles of NH3 we need 2 moles of ClF3 to produce 1 mole of Cl2, 1 mole of N2 and 6 moles of HF
NH3 is the limiting reactant. It will completely be consumed (1.64 moles).
ClF3 is in excess. There will be consumed 1.64 moles. There will remain 1.83 - 1.64 = 0.19 moles of ClF3
0.19 moles of ClF3 = 0.19 * 92.45 = 17.57 grams
Step 5: Calculate moles of Cl2, N2 and HF
For 2 moles of NH3 we need 2 moles of ClF3 to produce 1 mole of Cl2, 1 mole of N2 and 6 moles of HF
For 1.64 moles of NH3 consumed, we will produce:
1.64/ 2 = 0.82 moles of Cl2
1.64/2 = 0.82 moles of N2
1.64 * 3 = 4.92 moles of HF
Step 6: Calculate mass of products
Mass = moles * Molar mass
Mass of Cl2 = 0.82 moles * 70.9 g/mol = 58.138 grams
Mass of N2 = 0.82 moles * 28.01 g/mol = 22.97 grams
Mass of HF = 4.92 moles * 20.01 g/mol = 98.45 grams