\(n_{CaCO_3}=\dfrac{50}{100}=0,5\left(mol\right)\)
PTHH: \(CaCO_3+2HCl\rightarrow CaCl_2+H_2O+CO_2\uparrow\)
Theo PT ta có: \(n_{CaCO_3}=n_{CaCl_2}=n_{CO_2}=0,5\left(mol\right)\)
Theo PT ta có: \(n_{HCl}=\dfrac{0,5.2}{1}=1\left(mol\right)\)
\(\Rightarrow mdd_{HCl}=\dfrac{1.36,5}{20\%}=182,5\left(g\right)\)
\(\Rightarrow mdd_{sau-pư}=m_{CaCO_3}+m_{HCl}-m_{CO_2}\)
\(\Leftrightarrow mdd_{HCl}=50+182,5-22=210,5\left(g\right)\)
\(\Rightarrow C\%_{CaCl_2}=\dfrac{mct}{mdd}.100\%=\dfrac{0,5.111}{210,5}.100\%\approx26,37\%\)