\(n_{H_2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)
PTHH: 2K + 2H2O → 2KOH + H2
Mol: x 0,5x
PTHH: 2M + 2H2O → 2MOH + H2
Mol: y 0,5y
TH1: x=10%(x+y) ⇒ 9x=y
Ta có hệ pt:
\(\left\{{}\begin{matrix}39x+M_M.y=3,6\\0,5x+0,5y=0,05\\9x=y\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}39x+M_M.y=3,6\\x+9x=0,1\\9x=y\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}M_M=\dfrac{3,6-39.0,01}{0,09}=35,7\left(g/mol\right)\\x=0,01\\y=0,09\end{matrix}\right.\left(loại\right)\)
TH2: y=10%(x+y) ⇒ 9y=x
Ta có hệ pt:
\(\left\{{}\begin{matrix}39x+M_M.y=3,6\\0,5x+0,5y=0,05\\9y=x\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}39x+M_M.y=3,6\\9y+y=0,1\\9y=x\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}M_M=\dfrac{3,6-39.0,09}{0,01}=9\left(g/mol\right)\\y=0,01\\x=0,09\end{matrix}\right.\left(loại\right)\)