Aluminum sulphate is used in sand paper, among other uses. How many g of aluminum oxide dihydrate will be needed to produce 500 g of aluminum sulphate by the (unbalanced) reaction below?
Al₂O₃ •2H₂O + H₂SO₄ $\rarr$ Al₂(SO₄) ₃ + H₂O

Question

Aluminum sulphate is used in sand paper, among other uses. How many g of aluminum oxide dihydrate will be needed to produce 500 g of aluminum sulphate by the (unbalanced) reaction below?
Al₂O₃ •2H₂O + H₂SO₄

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Al₂(SO₄) ₃ + H₂O

Quizplus · Accepted Answer

First, balance the chemical equation: $$Al_2O_3 \cdot 2H_2O + 3H_2SO_4 \rightarrow Al_2(SO_4)_3 + 6H_2O$$Next, calculate molar masses: $Al_2O_3 \cdot 2H_2O = 156 \,g/mol$, $Al_2(SO_4)_3 = 342 \,g/mol$.To produce 500 g of $Al_2(SO_4)_3$, use the ratio from the molar masses: $\frac{156 \,g}{342 \,g} = \frac{x}{500 \,g}$.Solving for $x$ gives $x \approx 228 \,g$ of $Al_2O_3 \cdot 2H_2O$. However, none of the provided options match this calculation directly, indicating a potential misunderstanding in the question's setup or a mistake in calculation. Given the options, the closest logical approach would be to consider the direct requirement for aluminum oxide dihydrate to produce aluminum sulfate without additional calculation errors, but the provided answer choices and calculations do not align with standard stoichiometric conversions. Therefore, the correct response based on standard stoichiometric principles cannot be accurately determined from the given options without further clarification or correction of the provided data and options.

Aluminum Sulphate Is Used in Sand Paper, Among Other Uses →\rarr→

Aluminum Sulphate Is Used in Sand Paper, Among Other Uses $\rarr$