Answer :
Taking into account the reaction stoichiometry ,CuCl₂ is the limiting reagent and the theoretical yield of copper produced is 0.2363 grams.
Reaction stoichiometry
In first place, the balanced reaction is:
2 Al + 3 CuCl₂ → 3 Cu + 2 AlCl₃
By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:
- Al: 2 moles
- CuCl₂: 3 moles
- Cu: 3 moles
- AlCl₃: 2 moles
The molar mass of the compounds is:
- Al: 27 g/mole
- CuCl₂: 134.44 g/mole
- Cu: 63.54 g/mole
- AlCl₃: 133.35 g/mole
Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:
- Al: 2 moles ×27 g/mole= 54 grams
- CuCl₂: 3 moles ×134.44 g/mole= 403.32 grams
- Cu: 3 moles ×63.54 g/mole= 190.62 grams
- AlCl₃: 2 moles ×133.35 g/mole= 266.7 grams
Limiting reagent
The limiting reagent is one that is consumed first in its entirety, determining the amount of product in the reaction. When the limiting reagent is finished, the chemical reaction will stop.
Limiting reagent in this case
To determine the limiting reagent, it is possible to use a simple rule of three as follows: if by stoichiometry 54 grams of Al reacts with 403.32 grams of CuCl₂, 0.5 grams of Al reacts with how much mass of CuCl₂?
mass of CuCl₂= (0.5 grams of Al× 403.32 grams of CuCl₂)÷ 54 grams of Al
mass of CuCl₂= 3.734 grams
But 3.734 grams of CuCl₂ are not available, 0.5 grams are available. Since you have less mass than you need to react with 0.5 grams of Al, CuCl₂ will be the limiting reagent.
Definition of theoretical yield
The theoretical yield is the amount of product acquired through the complete conversion of all reagents in the final product, that is, it is the maximum amount of product that could be formed from the given amounts of reagents.
Theoretical yield of copper
Considering the limiting reagent, the following rule of three can be applied: if by reaction stoichiometry 403.32 grams of CuCl₂ form 190.62 grams of Cu, 0.5 grams of CuCl₂ form how much mass of Cu?
mass of Cu= (0.5 grams of CuCl₂× 190.62 grams of Cu)÷ 403.32 grams of CuCl₂
mass of Cu= 0.2363 grams
Then, the theoretical yield of copper produced is 0.2363 grams.
Summary
In summary, you obtain:
- CuCl₂ is the limiting reagent.
- the theoretical yield of copper produced is 0.2363 grams.
Learn more about theoretical yield:
brainly.com/question/11910892
brainly.com/question/13071761
brainly.com/question/11102909
brainly.com/question/13719016
#SPJ1