Giả sử ban đầu có 100g dd HCl
\(\Rightarrow m_{HCl}=32,85\left(g\right)\)
\(\Rightarrow n_{HCl}=0,9\left(mol\right)\)
\(CaCO_3+2HCl\rightarrow CaCl_2+CO_2+H_2O\)
a___________2a_______a______a____________
\(m_{Dd_{Spu}}=100a+100-44a=56a+100\left(g\right)\)
\(n_{HCl_{Du}}=0,9-2a\left(mol\right)\)
\(m_{HCl_{du}}=32,85-73a\left(g\right)\)
\(\Rightarrow\frac{32,85-73a}{56a+100}=0,242\Leftrightarrow-73a+32,85=13,552a+24,2\)
\(\Rightarrow a=0,1\)
X có 0,1mol CaCl2 , 0,7mol HCl
\(MgCO_3+2HCl\rightarrow MgCl_2+CO_2+H_2O\)
b_________2b________b______b____________
\(m_{dd_{spu}}=84b+56.0,1+100-44b\)
\(=40b+105,6\left(g\right)\)
\(n_{HCl_{du}}=0,7-2b\left(mol\right)\)
\(\Rightarrow m_{HCl_{du}}=25,55-73b\)
\(\Rightarrow\frac{25,55-73b}{40b+105,6}=0,2111\)
\(\Leftrightarrow25,55b-73b=8,444b+22,29216\)
\(\Leftrightarrow b=0,04\)
\(\Rightarrow\) Y có 0,1mol CaCl2 , 0,04mol MgCl2 và HCl dư
\(\Rightarrow C\%_{CaCl2}=\frac{0,1.111.100}{40.0,04+105,6}=10,35\%\)
\(\Rightarrow C\%_{MgCl2}=\frac{0,04.95.100}{40.0,04+105,6}=3,54\%\)