Find the mass of AlCl3 that is produced when 25.0 grams of Al2O3 react with excess HCl according to the following equation.

Al2O3(s) + 6HCl(aq) → 2AlCl3(aq) + 3H2O(l)
Group of answer choices

72.9 g

155 g

65.4 g

16.3 g

32.6 g

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Answer:

Mass = 65.4 g

Explanation:

Given data:

Mass of Al₂O₃ = 25 g

Mass of AlCl₃ = ?

Solution:

Chemical equation:

Al₂O₃ + 6HCl  →   2AlCl₃ + 3H₂O

Number of moles of Al₂O₃:

Number of moles = mass/ molar mass

Number of moles = 25 g/  101.96 g/mol

Number of moles = 0.2452 mol

Now we will compare the moles of Al₂O₃  and AlCl₃.

                          Al₂O₃         :            AlCl₃

                              1             :               2

                             0.2452    :          2×0.2452 = 0.4904 mol

Mass of AlCl₃:

Mass = number of moles × molar mass

Mass = 0.4904 mol × 133.34 g/mol

Mass = 65.4 g

The correct answer to the question is 65.4 g

The balanced equation for the reaction is given below

Al₂O₃ + 6HCl  → 2AlCl₃ + 3H₂O

Next, we shall determine the mass of Al₂O₃ that reacted and the mass of AlCl₃ produced from the balanced.

Molar mass of Al₂O₃ = (27×2) + (3×16)

= 54 + 48

= 102 g/mol

Mass of Al₂O₃ from the balanced equation = 1 × 102 = 102 g

Molar mass of AlCl₃ = 27 + (35.5×3)

= 27 + 106.5

= 133.5 g/mol

Mass of AlCl₃ from the balanced equation = 2 × 133.5 = 267 g

Thus,

From the balanced equation above,

102 g of Al₂O₃ reacted to produce 267 g of AlCl₃.

Finally, we shall determine the mass of AlCl₃ produced by the reaction of 35 g of Al₂O₃. This is illustrated below:

From the balanced equation above,

102 g of Al₂O₃ reacted to produce 267 g of AlCl₃.

Therefore,

25 g of Al₂O₃ will react to produce = [tex]\frac{25 * 267}{102}[/tex] = 65.4 g of AlCl₃.

Thus, 65.4 g of AlCl₃ were obtained from the reaction.

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