Answer:
88.9%
Explanation:
Step 1:
The balanced equation for the reaction. This is given below:
2AlCl3(aq) + 3H2SO4(aq) —> Al2(SO4)3(aq) + 6HCl(aq)
Step 2:
Determination of the masses of AlCl3 and H2SO4 that reacted and the mass of Al2(SO4)3 produced from the balanced equation.
Molar mass of AlCl3 = 27 + (35.5x3) = 133.5g/mol
Mass of AlCl3 from the balanced equation = 2 x 133.5 = 267g
Molar mass of H2SO4 = (2x1) + 32 + (16x4) = 98g/mol
Mass of H2SO4 from the balanced equation = 3 x 98 = 294g
Molar mass of Al2(SO4)3 = (27x2) + 3[32 + (16x4)]
= 54 + 3[32 + 64]
= 54 + 3[96] = 342g/mol
Mass of Al2(SO4)3 from the balanced equation = 1 x 342 = 342g
Summary:
From the balanced equation above,
267g of AlCl3 reacted with 294g of H2SO4 to produce 342g of Al2(SO4)3.
Step 3:
Determination of the limiting reactant. This is illustrated below:
From the balanced equation above,
267g of AlCl3 reacted with 294g of H2SO4.
Therefore, 25g of AlCl3 will react with = (25 x 294)/267 = 27.53g of H2SO4.
From the calculations made above, we see that only 27.53g out 30g of H2SO4 given were needed to react completely with 25g of AlCl3.
Therefore, AlCl3 is the limiting reactant and H2SO4 is the excess.
Step 4:
Determination of the theoretical yield of Al2(SO4)3.
In this case we shall be using the limiting reactant because it will produce the maximum yield of Al2(SO4)3 since all of it is used up in the reaction.
The limiting reactant is AlCl3 and the theoretical yield of Al2(SO4)3 can be obtained as follow:
From the balanced equation above,
267g of AlCl3 reacted to produce 342g of Al2(SO4)3.
Therefore, 25g of AlCl3 will react to produce = (25 x 342) /267 = 32.02g of Al2(SO4)3.
Therefore, the theoretical yield of Al2(SO4)3 is 32.02g
Step 5:
Determination of the percentage yield of Al2(SO4)3.
This can be obtained as follow:
Actual yield of Al2(SO4)3 = 28.46g
Theoretical yield of Al2(SO4)3 = 32.02g
Percentage yield of Al2(SO4)3 =..?
Percentage yield = Actual yield /Theoretical yield x 100
Percentage yield = 28.46/32.02 x 100
Percentage yield = 88.9%
Therefore, the percentage yield of Al2(SO4)3 is 88.9%
