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How many moles of aluminum sulfate can be formed from the reaction 2.5 moles of copper (II) sulfate? 2Al+3CuSO_(4)arrow Al_(2)(SO_(4))_(3)+3Cu

Question

How many moles of aluminum sulfate can be formed from the reaction 2.5 moles
of copper (II) sulfate?
2Al+3CuSO_(4)arrow Al_(2)(SO_(4))_(3)+3Cu

How many moles of aluminum sulfate can be formed from the reaction 2.5 moles of copper (II) sulfate? 2Al+3CuSO_(4)arrow Al_(2)(SO_(4))_(3)+3Cu

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RupertMaster · Tutor for 5 years

Answer

0.833 moles

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## Step1: <br />In the balanced chemical equation, we see that 3 moles of copper (II) sulfate (\(CuSO_{4}\)) react to form 1 mole of aluminum sulfate (\(Al_{2}(SO_{4})_{3}\)). This is a 3:1 ratio.<br /><br />### \(3 CuSO_{4} \rightarrow Al_{2}(SO_{4})_{3}\)<br /><br />## Step2: <br />To find out how many moles of aluminum sulfate can be formed from 2.5 moles of copper (II) sulfate, we can set up a proportion based on the stoichiometry of the reaction.<br /><br />### \(\frac{3 moles\: of\: CuSO_{4}}{1 mole\: of\: Al_{2}(SO_{4})_{3}} = \frac{2.5 moles\: of\: CuSO_{4}}{x moles\: of\: Al_{2}(SO_{4})_{3}}\)<br /><br />## Step3: <br />Solving for x, we get:<br /><br />### \(x = \frac{2.5 moles\: of\: CuSO_{4}}{3} = 0.833 moles\: of\: Al_{2}(SO_{4})_{3}\)<br /><br />Hence, 0.833 moles of aluminum sulfate can be formed from the reaction of 2.5 moles of copper (II) sulfate.
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