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To determine the limiting reactant, we need to compare the mole ratio of the reactants to the stoichiometric ratio in the balanced chemical equation. The balanced reaction is:
2 Al(OH)3 + 3 H2SO4 → Al2(SO4)3 + 6 H2O
From the equation, we see that 2 moles of Al(OH)3 react with 3 moles of H2SO4. Let's calculate the moles of H2SO4 required to react completely with the given moles of Al(OH)3:
0.450 mol Al(OH)3
(3 mol H2SO4 / 2 mol Al(OH)3) = 0.675 mol H2SO4
Since we only have 0.550 mol H2SO4, it is the limiting reactant. The reaction will stop once all of the H2SO4 is consumed, leaving some Al(OH)3 unreacted.