Answer:
Mass of CaCl₂ produced from the reaction = 21.31 g
Step-by-step explanation:
The balanced equation for the reaction
CaCO₃(s) + 2HCl(aq) ⟶ CaCl₂(aq) + H₂O(l) + CO₂(g)
How many grams of calcium chloride will be produced when 25.0 g of calcium carbonate is combined with 14.0 g of hydrochloric acid
First of, we need to recognize the limiting reagent in this reaction.
The limiting reagent is the reagent that is totally used up in the chemical reaction; it determines the amount of other reactants that react and the amount of products that will be formed.
To know the limiting reagent, we convert the masses of the reactants given to number of moles.
Number of moles = (mass)/(molar mass)
25.0 g of calcium carbonate
Molar mass of CaCO₃ = 100.0869 g/mol
Number of moles of CaCO₃ present at the start of the reaction = (25/100.0869) = 0.250 moles
14.0 g of hydrochloric acid
Molar mass of HCl = 36.46 g/mol
Number of moles of HCl present at the start of the reaction = (14/36.45) = 0.384 moles
But from the stoichiometric balance of the reaction,
1 mole of CaCO₃ reacts with 2 moles of HCl
If CaCO₃ was the limiting reagent,
0.25 moles of CaCO₃ at the start of the reaction would require 0.50 moles of HCl; which is more than the available number of moles of HCl available at the start of the reaction (0.384 moles)
So, CaCO₃ isn't the limiting reagent.
If HCl is the limiting reagent,
0.384 moles of HCl would require 0.192 moles of CaCO₃ to react with. This is within the limit of CaCO₃ present at the start of the reaction. (0.250 moles)
Hence, HCl is the limiting reagent, it is the reactant that is used up in the reaction and determines the amount of products formed.
Again, from the stoichiometric balance of the reaction,
2 moles of HCl gives 1 mole of CaCl₂
0.384 moles of HCl will give (0.384/2) moles of CaCl₂; that is, 0.192 moles of CaCl₂
We then convert this number of moles to mass.
Mass = (number of moles) × (molar mass)
Molar mass of CaCl₂ = 110.98 g/mol
Mass of CaCl₂ produced by the reaction = 0.192 × 110.98 = 21.30816 g = 21.31 g
Hope this Helps!!!