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In the reaction: 2Al(OH)₃ + 3H₂SO₄ → Al₂(SO₄)₃ + 6H₂O, if 152 g of H₂SO₄ reacts, what mass (in grams) of Al₂(SO₄)₃ will be generated?

A) 319 g
B) 160 g
C) 228 g
D) 304 g

1 Answer

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Final answer:

The calculated mass of Al₂(SO₄)₃ produced from reacting 152 g of H₂SO₄ is 176.69 g. However, this value is not listed in the multiple-choice options provided, suggesting an error in the question or answer options.

Step-by-step explanation:

In the reaction 2Al(OH)₃ + 3H₂SO₄ → Al₂(SO₄)₃ + 6H₂O, to calculate the mass of Al₂(SO₄)₃ produced from 152 g of H₂SO₄, we'll first convert the mass of H₂SO₄ to moles using its molar mass. The molar mass of H₂SO₄ is 98.079 g/mol, so:

152 g H₂SO₄ x (1 mol H₂SO₄ / 98.079 g H₂SO₄) = 1.549 moles H₂SO₄

Next, we use the stoichiometry of the reaction which indicates that 3 moles of H₂SO₄ produce 1 mole of Al₂(SO₄)₃. Therefore, the moles of Al₂(SO₄)₃ produced are:

1.549 moles H₂SO₄ x (1 mol Al₂(SO₄)₃ / 3 moles H₂SO₄) = 0.5163 moles Al₂(SO₄)₃

The molar mass of Al₂(SO₄)₃ is 342.15 g/mol, so the mass of Al₂(SO₄)₃ produced is:

0.5163 moles Al₂(SO₄)₃ x (342.15 g Al₂(SO₄)₃ / 1 mole Al₂(SO₄)₃) = 176.69 g Al₂(SO₄)₃

Since this result is not an option in the provided choices, and assuming this is a real situation or an error within the question, the calculation should be re-examined for potential mistakes. However, based on the information given and correct calculations, none of the options provided (A, B, C, D) accurately reflect the calculated mass of aluminum sulfate.

User David Yancey
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