Áp dụng định luật BTKL :
\(m_{CO_2}=142-76=66\left(g\right)\)
\(n_{CO_2}=\dfrac{66}{44}=1.5\left(mol\right)\)
\(V_{CO_2}=1.5\cdot22.4=33.6\left(l\right)\)
\(n_{CaCO_3}=a\left(mol\right),n_{MgCO_3}=b\left(mol\right)\)
\(m_X=100a+84b=142\left(g\right)\left(1\right)\)
\(CaCO_3\underrightarrow{^{^{t^0}}}CaO+CO_2\)
\(MgCO_3\underrightarrow{^{^{t^0}}}MgO+CO_2\)
\(m_Y=56a+40b=76\left(g\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=1,b=0.5\)
\(\%CaO=\dfrac{56\cdot1}{76}\cdot100\%=73.68\%\)
\(\%MgO=100-73.68=26.32\%\)
PTHH: \(CaCO_3\xrightarrow[]{t^o}CaO+CO_2\uparrow\)
a_______a_____a (mol)
\(MgCO_3\xrightarrow[]{t^o}MgO+CO_2\uparrow\)
b_______b_____b (mol)
Ta lập hệ phương trình: \(\left\{{}\begin{matrix}100a+84b=142\\56a+40b=76\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=1\\b=0,5\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{CaO}=\dfrac{56}{76}\cdot100\%\approx73,68\%\\\%m_{MgO}=26,32\%\\V_{CO_2}=\left(1+0,5\right)\cdot22,4=33,6\left(l\right)\end{matrix}\right.\)
