Đặt \(\left\{{}\begin{matrix}n_{CaCO_3}=x\\n_{MgCO_3}=y\end{matrix}\right.\) ( mol )
\(\Rightarrow m_{hh}=100x+84y=14,2\left(g\right)\) (1)
\(CaCO_3\rightarrow\left(t^o\right)CaO+CO_2\)
x x x ( mol )
\(MgCO_3\rightarrow\left(t^o\right)MgO+CO_2\)
y y y ( mol )
\(Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3\downarrow+H_2O\)
0,15 0,15 ( mol )
\(n_{CaCO_3}=\dfrac{15}{100}=0,15\left(mol\right)\)
\(\Rightarrow n_{CO_2}=x+y=0,15\left(mol\right)\) (2)
\(\left(1\right);\left(2\right)\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{CaCO_3}=\dfrac{0,1.100}{14,2}.100=70,42\%\\\%m_{MgCO_3}=100-70,42=29,58\%\end{matrix}\right.\)
\(m_{rắn}=m_{CaO}+m_{MgO}=0,1.56+0,05.40=7,6\left(g\right)\)
\(V_{CO_2}=0,15.22,4=3,36\left(l\right)\)