PTHH: \(MgCO_3+2HCl\rightarrow MgCl_2+CO_2+H_2O\) (1)
\(CaCO_3+2HCl\rightarrow CaCl_2+CO_2+H_2O\) (2)
Ta có: \(\Sigma_{n_{HCl}}=0,25\cdot1=0,25\left(mol\right)\)
Gọi số mol của CaCO3 phản ứng là \(a\) \(\Rightarrow n_{MgCO_3}=2a\) \(\Rightarrow\Sigma_{n_{HCl}}=6a\)
\(\Rightarrow a=\frac{1}{24}\) \(\Rightarrow\left\{{}\begin{matrix}n_{CaCO_3}=\frac{1}{24}\left(mol\right)\\n_{MgCO_3}=\frac{1}{12}\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{CaCO_3}=\frac{1}{24}\cdot100=\frac{25}{6}\left(g\right)\\m_{MgCO_3}=\frac{1}{12}\cdot84=7\left(g\right)\end{matrix}\right.\)
\(\Rightarrow x=13,4-\frac{25}{6}-7\approx2,23\left(g\right)\)