\(n_{H_2SO_4}=0,25.2=0,5\left(mol\right)\)

Gọi \(\left\{{}\begin{matrix}n_{Al_2O_3}=x\left(mol\right)\\n_{CuO}=y\left(mol\right)\end{matrix}\right.\)

\(Al_2O_3+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O\)

 x----------> 3x --------> x 

\(CuO+H_2SO_4\rightarrow CuSO_4+H_2O\)

y --------> y -------->  y

Có hệ phương trình

\(\left\{{}\begin{matrix}102x+80y=26,2\\3x+y=0,5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)

\(\%_{m_{Al_2O_3}}=\dfrac{102.0,1.100}{26,2}=38,93\%\)

\(\%_{m_{CuO}}=\dfrac{80.0,2.100}{26,2}=61,07\%\)

\(CM_{Al_2\left(SO_4\right)_3}=\dfrac{x}{0,25}=\dfrac{0,1}{0,25}=0,4M\)

\(CM_{CuSO_4}=\dfrac{y}{0,25}=\dfrac{0,2}{0,25}=0,8M\)

đổi `250ml=0,25l`

\(n_{H_2SO_4}=C_M\cdot V_{ddH_2SO_4}=0,25\cdot2=0,5\left(mol\right)\)

đặt \(\left\{{}\begin{matrix}n_{Al_2O_3}=a\left(mol\right)\\n_{CuO}=b\left(mol\right)\end{matrix}\right.\)

\(PTHH:Al_2O_3+3H_2SO_4->Al_2\left(SO_4\right)_3+3H_2O\)

tỉ lệ          1        :     3            :              1      ;      3

n(mol)        a---------->3a-------------->a------------->3a

\(PTHH:CuO+H_2SO_4->CuSO_4+H_2O\)

tỉ lệ            1      :     1         :          1     :      1

n(mol)      b-------->b------------>b----------->b

ta có hệ phương trình sau

\(\left\{{}\begin{matrix}102a+80b=26,2\\3a+b=0,5\end{matrix}\right.\\ < =>\left\{{}\begin{matrix}a=0,1\\b=0,2\end{matrix}\right.\\ =>\left\{{}\begin{matrix}n_{Al_2O_3}=0,1\left(mol\right)\\n_{CuO}=0,2\left(mol\right)\end{matrix}\right.\\ =>\left\{{}\begin{matrix}m_{Al_2O_3}=0,1\cdot102=10,2\left(g\right)\\m_{CuO}=0,2\cdot80=16\left(g\right)\end{matrix}\right.\\ =>\left\{{}\begin{matrix}\%m_{Al_2O_3}=\dfrac{10,2}{26,2}\cdot100\%\approx38,9\%\\\%m_{CuO}=100\%-38,9\%=61,1\%\end{matrix}\right.\)

b)

có \(\left\{{}\begin{matrix}n_{Al_2\left(SO_4\right)_3}=a=0,1\left(mol\right)\\n_{CuSO_4}=b=0,2\left(mol\right)\end{matrix}\right.\)

\(=>\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=0,1\cdot342=34,2\left(g\right)\\m_{CuSO_4}=0,2\cdot160=32\left(g\right)\end{matrix}\right.\)

\(n_{H_2SO_4}=0,25.2=0,5mol\\ n_{Al_2O_3}=a,n_{CuO}=b\\ Al_2O_3+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O\\ CuO+H_2SO_4\rightarrow CuSO_4+H_2O\\ \Rightarrow\left\{{}\begin{matrix}3a+b=0,5\\102a+80b=26,2\end{matrix}\right.\\ \Rightarrow a=0,1;b=0,2\\ \%m_{Al_2O_3}=\dfrac{0,1.102}{26,2}\cdot100=39\%\\ \%m_{CuO}=100-39=61\%\)

\(n_{FeO}=a\left(mol\right),n_{CuO}=b\left(mol\right)\)

\(m_{hh}=72a+80b=19.2\left(g\right)\left(1\right)\)

\(FeO+H_2SO_4\rightarrow FeSO_4+H_2O\)

\(CuO+H_2SO_4\rightarrow CuSO_4+H_2O\)

\(n_{H_2SO_4}=a+b=0.25\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.1,b=0.15\)

\(m_{FeO}=0.1\cdot72=7.2\left(g\right)\)

\(m_{CuO}=12\left(g\right)\)

\(C_{M_{FeSO_4}}=\dfrac{0.1}{0.25}=0.4\left(M\right)\)

\(C_{M_{CuSO_4}}=\dfrac{0.15}{0.25}=0.6\left(M\right)\)

\(Fe_2O_3 + 3H_2SO_4 ---> Fe_2(SO_4)_3 + 3H_2O\)

\(CuO + H_2SO_4 ---> CuSO_4 + H_2O\)

\(n_{H_2SO_4}= 0,25 . 1= 0,25 mol\)

\(Gọi n_{Fe_2O_3} và n_{CuO} là x, y\)

\(\begin{cases} 160x + 80y= 16\\ 3x + y= 0,25 \end{cases}\)

\(\Rightarrow \) \(\left[\begin{array}{} x=0,05\\ y=0,1 \end{array} \right. \)

C% Fe₂O₃= \(\dfrac{0,05 . 160}{16}= 50%\)

C% CuO= 50%

Pt : \(Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O|\)

          1             6                   1                 3

         a             6b

        \(CuO+1H_2SO_4\rightarrow CuSO_4+H_2O|\)

           1           1                    1           1

          a           2a

Gọi a là số mol của Fe₂O₃

      b là số mol của CuO

\(m_{CuO}+m_{Fe2O3}=16\left(g\right)\)

⇒ \(n_{Fe2O3}.M_{Fe2O3}+n_{CuO}.M_{CuO}=16g\)

    ⇒ 160a + 80b = 16g (1)

Ta có : 250ml = 0,25l

\(n_{H2SO4}=1.0,25-0,25\left(mol\right)\)

⇒ 3a + 1b = 0,25 (2)

Từ (1),(2), ta có hệ phương trình :

      160a + 80b = 16g

        3a + 1b = 0,25

      ⇒ \(\left\{{}\begin{matrix}a=0,05\\b=0,1\end{matrix}\right.\)

\(m_{Fe2O3}=0,05.160=8\left(g\right)\)

\(m_{CuO}=0,1.80=8\left(g\right)\)

⁰/₀Fe₂O₃ = \(\dfrac{8.100}{16}=50\)⁰/₀

⁰/₀CuO = \(\dfrac{8.100}{16}=50\)⁰/₀

 Chúc bạn học tốt

Gọi x,y lần lượt là số mol Al2O3, CuO

Al2O3 + 3H2SO4 → Al2(SO4)3 + 3H2O

CuO + H2SO4 → H2O + CuSO4

\(\left\{{}\begin{matrix}102x+80y=12,3\\3x+y=\dfrac{100.24,5\%}{98}=0,25\end{matrix}\right.\)

=> x= 0,056; y=0,082

=> \(\%m_{Al_2O_3}=\dfrac{0,056.102}{12,3}.100=46,44\%\)

=> %mCuO= 100 - 46,44= 53,56%

b) 

Al2O3 + 6HCl → 2AlCl3 + 3H2O

CuO + 2HCl → CuCl2 + H2O 

=> \(m_{HCl}=\dfrac{(0,056.6+0,082.2).36,5}{7\%}=260,7\%\)