\(2M+nH_2SO_4\rightarrow M_2\left(SO_4\right)_n+nH_2\)
\(n_{H2SO4}=\frac{200.12,25\%}{98}=0,25\left(mol\right)\)
\(\Rightarrow n_{H2}=0,25\left(mol\right)\)
\(n_M=\frac{0,5}{n}\left(mol\right)\)
\(n_{M2\left(SO4\right)n}=\frac{0,25}{n}\left(mol\right)\)
\(m_{dd}=\frac{M_M}{2n+200-0,25.2}=\frac{M_M}{2n+199,5}\)
Ta có
\(\frac{0,25}{n.\left(2M_M+96n\right)}:\frac{M_M}{2n+199,5}=14,598\%\)
\(\Rightarrow\frac{\frac{M_M}{2n+24}}{\frac{M_M}{2n+199,5}}=14,598\%\)
\(\Rightarrow\frac{M_M}{2n+24}=\frac{0,7299M_M}{n+29,12301}\)
\(\Rightarrow\frac{M_M}{n}=12\)
\(\Rightarrow M_M=12n\)
Ta có n = 2 thì MM=24
Vậy M là Magie