\(m_{H_2SO_4}=\frac{200.19,6}{100}=39,2g\)
\(\rightarrow n_{H_2SO_4}=\frac{39,2}{98}=0,4mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
x x x x
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)
y 1,5y 0,5y 1,5y
Đặt \(\hept{\begin{cases}x\left(mol\right)=Mg\\y\left(mol\right)=Al\end{cases}}\)
a. Có hệ phương trình là: \(\hept{\begin{cases}24x+27y=7,8\\x+1,5y=0,4\end{cases}}\)
\(\rightarrow\hept{\begin{cases}x=0,1\\y=0,2\end{cases}}\)
\(m_{Mg}=0,1.24=2,4g\)
\(m_{Al}=7,8-2,4=5,4g\)
b. \(n_{H_2}=0,1+1,5.0,2=0,4mol\)
\(\rightarrow m_{H_2}=0,4.2=0,8g\)
\(m_{ddsaupu}=m_{hh}+m_{ddH_2SO_4}-m_{H_2}\)
\(\rightarrow m_{ddsaupu}=7,8+200-0,8=207g\)
Những dung dịch thu được sau phản ứng: \(MgSO_4;Al_2\left(SO_4\right)_3\)
\(m_{MgSO_4}=0,1.\left(24+32+16.4\right)=12g\)
\(\rightarrow C\%_{MgSO_4}=\frac{12.100}{207}=5,8\%\)
\(m_{Al_2\left(SO_4\right)_3}=0,5.0,2.\left(27.2+32.3+16.12\right)=34,2g\)
\(\rightarrow C\%_{Al_2\left(SO_4\right)_3}=\frac{34,2.100}{207}=16,52\%\)
