Which reactant is the limiting reagent in the following reaction when 100.0g of hydrogen sulfate and 100.0g of calcium carbonate are supplied? H₂(SO₄) + Ca(CO₃) --> Ca(SO₄) + H₂O + CO₂? Show your work



Answer :

Answer:

Ca(CO₃) is the limiting reactant

Explanation:

To find out which reactant is limiting, we need to compare the moles of each reactant to the stoichiometry of the balanced equation.

[tex]\sf H_2(SO_4) + Ca(CO_3) \rightarrow Ca(SO_4) + H_2O + CO_2 [/tex]

According to the balanced equation, 1 mole of H₂SO₄ reacts with 1 mole of CaCO₃.

Molar mass of the reactants :

  • Molar Mass of H₂(SO₄)= 98.09 g/mol
  • Molar mass of Ca(CO₃) = 100.09 g/mol

Let's calculate the Number of moles of each reactant. Number of moles can be calculated by dividing the given mass by the Molar mass.

[tex] {\sf{Moles \: of \: H_2(SO_4) }}= \dfrac{100}{98.09} \\ \\ \ \ \ \ \ \ \ \ \ \ \ \ = 1.02 \: \sf{ mol}[/tex]

[tex] {\sf{Moles \: of \: Ca(CO_3)}} = \dfrac{100}{100.09} \\ \\ \ \ \ \ \ \ = 1.00 \: \sf{ mol}[/tex]

Now we need to compare the mole ratio of H₂(SO₄) to Ca(CO₃) in the balanced equation, on comparing we get:

1.00 moles of Ca(CO₃) is less than that of 1.02 moles of H₂(SO₄). Hence, Ca(CO₃) is the limiting reactant in this reaction