\(n_{H_2\left(dktc\right)}=\dfrac{V}{22,4}=\dfrac{1,792}{22,4}=0,08\left(mol\right)\)
đặt \(\left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\end{matrix}\right.\)
\(PTHH:Zn+H_2SO_4->ZnSO_4+H_2\)
tỉ lệ 1 : 1 : 1 : 1
n(mol) a---->a------------>a---------->a (1)
\(PTHH:2Al+3H_2SO_4->Al_2\left(SO_4\right)_3+3H_2\)
tỉ lệ 2 : 3 ; 1 : 3
n(mol) b-------->3/2b----->1/2b------------>3/2b (2)
Từ (1) và (2) ta có
\(\left\{{}\begin{matrix}65a+27b=3,79\\a+\dfrac{3}{2}b=0,08\end{matrix}\right.=>\left\{{}\begin{matrix}a=0,05\left(mol\right)\\b=0,02\left(mol\right)\end{matrix}\right.\)
\(=>\left\{{}\begin{matrix}m_{Zn}=n\cdot M=0,05\cdot65=3,25\left(g\right)\\m_{Al}=n\cdot M=0,02\cdot27=0,54\left(g\right)\end{matrix}\right.\)
\(=>\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{3,25\cdot100\%}{3,79}\approx85,75\%\\\%m_{Al}=100\%-85,75\approx14,25\%\end{matrix}\right.\)
với (1) thì
\(n_{H_2SO_4\left(1\right)}=a=0,05\left(mol\right)\)
với (2) thì
\(n_{H_2SO_4\left(2\right)}=\dfrac{3}{2}b=\dfrac{3}{2}\cdot0,02=0,03\left(mol\right)\)
\(=>m_{H_2SO_4}=\left(0,05+0,03\right)\cdot98=7,84\left(g\right)\)