Answer :
Final answer:
To calculate the theoretical yield of Na2SO4, convert the given masses of H2SO4 and NaOH into moles. Use the stoichiometry of the balanced equation to determine the amount of Na2SO4 produced. The theoretical yield is 2.92 g, closest to option C) 3.00 g.
Explanation:
To calculate the theoretical yield of Na2SO4, we must first convert the given masses of H2SO4 and NaOH into moles by dividing by their respective molar masses. The balanced equation tells us that 1 mole of H2SO4 reacts with 2 moles of NaOH to produce 1 mole of Na2SO4. Therefore, we can use the stoichiometry of the balanced equation to determine the amount of Na2SO4 produced.
For H2SO4: 2.00 g / (98.09 g/mol) = 0.0204 mol
For NaOH: 2.00 g / (40.00 g/mol) = 0.050 mol
Since the molar ratio between H2SO4 and Na2SO4 is 1:1, the amount of Na2SO4 produced is also 0.0204 mol. To convert this to grams, we use the molar mass of Na2SO4: 0.0204 mol * (142.04 g/mol) = 2.92 g.
Therefore, the theoretical yield of Na2SO4 is 2.92 g, which is closest to option C) 3.00 g.
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