Base Indicator

How to determine the percentage of a compound present in marble?

0.222g of CaCO3 is dissolved in HCl. the excess HCl is put into a beaker where 50ml of 0.02490 mol/L of NaOH is added along with acid-base indicator. titration is used and determined that 36.7 ml of 0.1226 mol/L of HCl are needed for titration.

What is the percentage of CaCO3 in the marble?

I am so lost with this question. Any help is well appreciated.

moles HCl = 0.0367 L x 0.1226 = 0.00450
Moles NaOH = 0.050 L x 0.02490 = 0.001245

Moles HCl used to dissolve CaCO3 = 0.00450 - 0.001245 =0.00326

CaCO3 + 2 HCl >> CaCl2 + H2O + CO2
moles CaCO3 = 0.00326 / 2 =0.00163

Mass CaCO3 = 0.00163 mol x 100 g/mol = 0.163 g

% CaCO3 = 0.163 x 100 / 0.222 =73.4

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