Call
As one can see from the reaction equation, two moles of HCl reacts with one mole of calcium carbonate: n(CaCO_3 )=n(HCl)/2. The number of the moles of HCl equals: n(HCl)=c(HCl)·V(HCl)=0.1248 M·V(HCl). Thus, the volume of HCl is: V(HCl)=n(HCl)/(0.1248 M)= 2n(CaCO_3 )/(0.1248 M). The number of the moles of calcium carbonate is its mass divided by its molar mass: n(CaCO_3 )=m(CaCO_3 )/M(CaCO_3 ) = (5.0 g)/(100.09 g/mol)=0.0500 mol. Finally, the volume of HCl solution: V(HCl)= 2n(CaCO_3 )/(0.1248 M)= (2·0.0500 (mol))/(0.1248 M)=0.8006 (L). Answer: 0.8006 (L)