Answer:
17.86mL of the HCl solution
Explanation:
The reaction of CaCO₃ with HCl is:
CaCO₃ + 2HCl → CaCl₂ + CO₂ + H₂O
The concentration of HCl with a pH of 1.52 is:
pH = 1.52 = -log [H⁺]
[H⁺] = 0.0302M = [HCl]
27.0mg = 0.0270g of CaCO₃ (Molar mass: 100.09g/mol) are:
0.0270g of CaCO₃ ₓ (1mol / 100.09g) = <em>2.70x10⁻⁴ moles of CaCO₃</em>
Moles of HCl to react completely with these moles of CaCO₃ are:
2.70x10⁻⁴ moles of CaCO₃ ₓ (2 mol HCl / 1 mol CaCO₃) =
5.40x10⁻⁴ moles of HCl
As the concentration of HCl is 0.0302M, volume in 5.40x10⁻⁴ moles is:
5.40x10⁻⁴ moles of HCl * (1L / 0.0302mol) = 0.01786L =
<h3>17.86mL of the HCl solution</h3>