Answer:
14.7 grams of aluminum chloride (AlCl₃) will be produced.
Step-by-step explanation:
In the reaction 2Al + 3ZnCl₂ → 3Zn + 2AlCl₃, for every 2 moles of aluminum, 2 moles of aluminum chloride (AlCl₃) are produced. So, if we know the moles of zinc chloride (ZnCl₂) used, we can calculate the moles of aluminum chloride produced by dividing by the stoichiometric coefficient of ZnCl₂ (3) and then multiplying by the stoichiometric coefficient of AlCl₃ (2).
We know that 22.6 grams of zinc chloride are used up in the reaction. To find the moles of zinc chloride, we can use the molar mass of zinc chloride, which is 136.29 g/mol.
22.6 g ZnCl2 / 136.29 g/mol ZnCl₂ = 0.166 mol ZnCl₂
So the moles of aluminum chloride produced would be 0.166 mol ZnCl₂ * 2/3 = 0.111 mol AlCl₃.
To find the mass of aluminum chloride produced, we just need to multiply the moles of AlCl₃ by its molar mass which is:
0.111 mol AlCl₃ * 133.34 g/mol AlCl₃ = 14.7 g AlCl₃
So, if 22.6 grams of zinc chloride are used up in the reaction, 14.7 grams of aluminum chloride will be produced.