PTHH: \(4FeS+7O_2\underrightarrow{t^o}2Fe_2O_3+4SO_2\) (1)
\(2ZnS+3O_2\underrightarrow{t^o}2ZnO+2SO_2\) (2)
a) Gọi số mol của FeS là \(a\) \(\Rightarrow n_{Fe_2O_3}=\dfrac{1}{2}a\left(mol\right)\)
Gọi số mol của ZnS là \(b\) \(\Rightarrow n_{ZnO}=b\left(mol\right)\)
Ta lập được hệ phương trình
\(\left\{{}\begin{matrix}88a+97b=54,6\\80a+81b=48,2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,4\\b=0,2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{FeS}=0,4\cdot88=35,2\left(g\right)\\m_{ZnS}=19,4\left(g\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{FeS}=\dfrac{35,2}{54,6}\cdot100\%\approx64,47\text{%}\\\%m_{ZnS}=35,53\%\end{matrix}\right.\)
b+c) Theo các PTHH: \(\left\{{}\begin{matrix}n_{O_2\left(1\right)}=\dfrac{7}{4}n_{FeS}=0,7\left(mol\right)\\n_{O_2\left(2\right)}=\dfrac{3}{2}n_{O_2\left(2\right)}=0,3\left(mol\right)\\n_{SO_2\left(1\right)}=n_{FeS}=0,4\left(mol\right)\\n_{SO_2\left(2\right)}=n_{ZnS}=0,2\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\Sigma n_{O_2}=1\left(mol\right)\\\Sigma n_{SO_2}=0,6\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}V_{O_2}=1\cdot22,4=22,4\left(l\right)\\V_{SO_2}=0,6\cdot22,4=13,44\left(l\right)\end{matrix}\right.\)