\(Đặt:\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\\Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24x+27y=10,2\\x+1,5y=0,5\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,2\end{matrix}\right.\\ \Rightarrow\%m_{Mg}=\dfrac{0,2.24}{10,2}.100=47,06\%\\ \%m_{Al}=52,94\%\\ n_{HCl}=2n_{Mg}+3n_{Al}=0,2.2+0,3.2=1\left(mol\right)\\ \Rightarrow V_{HCl}=\dfrac{1}{2}=0,5\left(l\right)\)

\(c,n_{Al}=x(mol);n_{Mg}=y(mol)\\ \Rightarrow 27x+24y=10,2(1)\\ n_{H_2}=\dfrac{11,2}{22,4}=0,5(mol)\\ PTHH:2Al+6HCl\to 2AlCl_3+3H_2\\ Mg+2HCl\to MgCl_2+H_2\\ \Rightarrow 1,5x+y=0,5(2)\\ (1)(2)\Rightarrow x=y=0,2(mol)\\ \Rightarrow \%_{Al}=\dfrac{0,2.27}{10,2}.100\%=52,94\%\\ \%_{Mg}=100\%-52,94\%=47,06\%\\ d,\Sigma n_{HCl}=3x+2y=1(mol)\\ \Rightarrow V_{dd_{HCl}}=\dfrac{1}{2}=0,5(l)\)

PTHH: \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)  (1)

            \(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)  (2)

a) Ta có: \(\Sigma n_{H_2}=\dfrac{17,92}{22,4}=0,8\left(mol\right)\)

Gọi số mol của Mg là \(a\) \(\Rightarrow n_{H_2\left(1\right)}=a\)

Gọi số mol của Fe là \(b\) \(\Rightarrow n_{H_2\left(2\right)}=b\)

Ta lập được hệ phương trình:

\(\left\{{}\begin{matrix}a+b=0,8\\24a+56b=25,6\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,6\\b=0,2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}n_{Mg}=0,6mol\\n_{Fe}=0,2mol\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,6\cdot24=14,4\left(g\right)\\m_{Fe}=11,2\left(g\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{14,4}{25,6}\cdot100\%=56,25\%\\\%m_{Fe}=43,75\%\end{matrix}\right.\)

b) Theo PTHH: \(\left\{{}\begin{matrix}n_{HCl\left(1\right)}=2n_{Mg}=1,2mol\\n_{HCl\left(2\right)}=2n_{Fe}=0,4mol\end{matrix}\right.\)

\(\Rightarrow\Sigma n_{HCl}=1,6mol\) \(\Rightarrow V_{ddHCl}=\dfrac{1,6}{2}=0,8\left(l\right)=800ml\)

c) PTHH: \(MgCl_2+2NaOH\rightarrow2NaCl+Mg\left(OH\right)_2\downarrow\)

                 \(FeCl_2+2NaOH\rightarrow2NaCl+Fe\left(OH\right)_2\downarrow\)

Theo các PTHH: \(\left\{{}\begin{matrix}n_{Mg\left(OH\right)_2}=n_{MgCl_2}=n_{Mg}=0,6mol\\n_{Fe\left(OH\right)_2}=n_{FeCl_2}=n_{Fe}=0,2mol\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Fe\left(OH\right)_2}=0,2\cdot90=18\left(g\right)\\m_{Mg\left(OH\right)_2}=0,6\cdot58=34,8\left(g\right)\end{matrix}\right.\) 

\(\Rightarrow m_{kếttủa}=18+34,8=52,8\left(g\right)\)          

a) Đặt \(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow24a+27b=5,1\)  (1)

Ta có: \(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

Bảo toàn electron: \(2a+3b=0,5\)  (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,1\cdot24}{5,1}\cdot100\%\approx47,06\%\\\%m_{Al}=52,94\%\end{matrix}\right.\)

b) Bảo toàn nguyên tố: \(n_{HCl}=2n_{H_2}=0,5\left(mol\right)\)

\(\Rightarrow m_{ddHCl}=\dfrac{0,5\cdot36,5}{7,3\%}=250\left(g\right)\)

\(\Rightarrow V_{HCl}=\dfrac{250}{1,2}\approx208,33\left(ml\right)\)

Đáp án D.

Do H₂ chỉ khử được Fe₂O₃ thành Fe nên B gồm Fe và Al₂O₃, chỉ có Fe tạo H₂

\(1,n_{HF}=\dfrac{2,5.40\%}{100\%.20}=0,05(kmol)\\ PTHH:CaF_2+H_2SO_4\to CaSO_4+2HF\\ \Rightarrow n_{CaF_2}=0,025(kmol)\\ \Rightarrow m_{CaF_2}=0,025.78=1,95(kg)\\ 2,\text {Đặt }\begin{cases} n_{Fe}=x(mol)\\ n_{Al}=y(mol) \end{cases} \Rightarrow 56x+27y=11(1)\\ n_{H_2}=\dfrac{8,96}{22,4}=0,4(mol)\\ PTHH:Fe+2HCl\to FeCl_2+H_2\\ 2Al+6HCl\to 2AlCl_3+3H_2\\ \Rightarrow x+1,5y=0,4(2)\\ (1)(2)\Rightarrow \begin{cases} x=0,1(mol)\\ y=0,2(mol) \end{cases} \Rightarrow \begin{cases} \%_{Fe}=\dfrac{0,1.56}{11}.100\%=50,91\%\\ \%_{Al}=100\%-50,91\%=49,09\% \end{cases}\)

\(b,\Sigma n_{HCl}=2n_{Fe}+3n_{Al}=0,2+0,6=0,8(mol)\\ \Rightarrow V_{dd_{HCl}}=\dfrac{0,8}{2}=0,4(l)\)

2CH3COOH+CaCO3-to>(CH3COO)2Ca+H2O+CO2

0,4-----------------0,2----------------------------------------0,2

2CH3COOH+CaO->(CH3COO)2Ca+H2O

0,1----------------0,05

n CO2=0,2 mol

=>%m CaCO3=\(\dfrac{0,2.100}{22,8}100=87,72\%\)

=>%m CaO=12,28%

=>n CaO=0,05 mol

=>VCH3COOH=\(\dfrac{0,5}{2}=0,25l\)

a)

\(n_{CO_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)

PTHH: CaCO₃ + 2CH₃COOH --> (CH₃COO)₂Ca + CO₂ + H₂O

                0,2<---------0,4<------------------------------0,2

=> \(m_{CaCO_3}=0,2.100=20\left(g\right)\)

=> \(\left\{{}\begin{matrix}\%m_{CaCO_3}=\dfrac{20}{22,8}=87,72\%\\\%m_{CaO}=100\%-87,72\%=12,28\%\end{matrix}\right.\)

b)

\(n_{CaO}=\dfrac{22,8-20}{56}=0,05\left(mol\right)\)

PTHH: CaO + 2CH₃COOH --> (CH₃COO)₂Ca + H₂O

            0,05---->0,1

=> \(V_{dd.CH_3COOH}=\dfrac{0,1+0,4}{2}=0,25\left(l\right)\)

c) \(\left\{{}\begin{matrix}n_{CH_3COOH}=\dfrac{a}{60}\left(mol\right)\\n_{C_2H_5OH}=\dfrac{1,5a}{46}\left(mol\right)\\n_{CH_3COOC_2H_5}=\dfrac{1,2a}{88}\left(mol\right)\end{matrix}\right.\)

PTHH: CH₃COOH + C₂H₅OH --H₂SO_4(đ),t^o--> CH₃COOC₂H₅ + H₂O

Xét tỉ lệ: \(\dfrac{\dfrac{a}{60}}{1}< \dfrac{\dfrac{1,5a}{46}}{1}\) => HIệu suất tính theo CH₃COOH

\(n_{CH_3COOH\left(pư\right)}=\dfrac{1,2a}{88}\left(mol\right)\)

=> \(H=\dfrac{\dfrac{1,2a}{88}}{\dfrac{a}{60}}.100\%=81,82\%\)