Limescale removers contain sulfamic acid, H3NSO3, which reacts with minerals in hard water stains such as calcium carbonate: 2H3NSO3 +CaCO3 + Ca(SO3NH2)2 + CO2 + H2O.
How many moles of calcium carbonate will react with 0.75 moles of sulfamic acid?

0.375 moles of CaCO₃ are required

Explanation:

Given data:

Number of moles of sulfamic acid = 0.75 mol

Number of moles of calcium carbonate required = ?

Solution:

Chemical equation:

2H₃NSO₃ + CaCO₃     →        Ca(SO₃NH₂)₂ + CO₂ + H₂O

Now we will compare the moles of H₃NSO₃  and CaCO₃ .

                H₃NSO₃           :            CaCO₃  

                     2                 :             1

                   0.75              :           1/2×0.75 = 0.375 mol

Thus, 0.375 moles of CaCO₃ are required.