Giả sử: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\)

⇒ 24x + 27y = 7,8 (1)

Ta có: \(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

BT e, có: 2x + 3y = 0,8 (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1.24=2,4\left(g\right)\\m_{Al}=0,2.27=5,4\left(g\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{2,4}{7,8}.100\%\approx30,77\%\\\%m_{Al}\approx69,23\%\end{matrix}\right.\)

b, BTNT Mg và Al, có:

n_MgCl2 = n_Mg = 0,1 (mol)

 n_AlCl3 = n_Al = 0,2 (mol)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{MgCl_2}=\dfrac{0,1.95}{0,1.95+0,2.133,5}.100\%\approx26,24\%\\\%m_{AlCl_3}\approx73,76\%\end{matrix}\right.\)

Bạn tham khảo nhé!

^{trả lời nhanh cho em ạ}

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: \(n_{HCl}=2n_{H_2}=0,5\left(mol\right)\)

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

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

PTHH: \(Zn+2HCl\rightarrow ZnCl_2+H_2\uparrow\)

            \(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)

a) Ta có: \(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)=n_{Zn}\)

\(\Rightarrow\%m_{Zn}=\dfrac{0,4\cdot65}{36,2}\cdot100\%\approx71,23\%\) \(\Rightarrow\%m_{Al_2O_3}=28,77\%\)

c) Ta có: \(n_{Al_2O_3}=\dfrac{36,2-0,4\cdot65}{102}=0,1\left(mol\right)\)

Theo PTHH: \(n_{HCl}=2n_{Zn}+6n_{Al_2O_3}=1,4\left(mol\right)\)

\(\Rightarrow m_{ddHCl}=\dfrac{1,4\cdot36,5}{10\%}=511\left(g\right)\) \(\Rightarrow V_{ddHCl}=\dfrac{511}{1,1}\approx464,5\left(ml\right)=0,4645\left(l\right)\)

c) Theo PTHH: \(\left\{{}\begin{matrix}n_{ZnCl_2}=0,4\left(mol\right)\\n_{AlCl_3}=0,2\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}C_{M_{ZnCl_2}}=\dfrac{0,4}{0,4645}\approx0,86\left(M\right)\\C_{M_{AlCl_3}}=\dfrac{0,2}{0,4645}\approx0,43\left(M\right)\end{matrix}\right.\)

\(n_{H_2}=\dfrac{4,48}{22,4}=0,2mol\\ Zn+H_2SO_4\rightarrow ZnSO_4+H_2\\ FeO+H_2SO_4\rightarrow FeSO_4+H_2O\\ n_{Zn}=n_{H_2}=0,2mol\\ \%m_{Zn}=\dfrac{0,2.65}{20}\cdot100\%=65\%\\ \%m_{Fe}=100\%-65\%=35\%\)

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)

Gọi $n_{Fe} = a(mol) ; n_{Al} =b (mol) \Rightarrow 56a + 27b = 11(1)$
$Fe + 2HCl \to FeCl_2 + H_2$
$2Al + 6HCl \to 2AlCl_3 + 3H_2$
Theo PTHH : $n_{H_2} = a + 1,5b = \dfrac{8,96}{22,4} = 0,4(2)$

Từ (1)(2) suy ra : a = 0,1 ; b = 0,2

$\%m_{Fe} = \dfrac{0,1.56}{11}.100\% = 50,9\%$
$\%m_{Al} = 100\% - 50,9\% = 49,1\%$

b) $n_{HCl} = 2n_{H_2} = 0,8(mol)$
$\Rightarrow C_{M_{HCl}} = \dfrac{0,8}{0,4} = 2M$

c)

$C_{M_{FeCl_2}} = \dfrac{0,1}{0,4} = 0,25M$
$C_{M_{AlCl_3}} =\dfrac{0,2}{0,4} = 0,5M$

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

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

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

Đặt \(\begin{cases} n_{Fe}=x(mol)\\ n_{Mg}=y(mol) \end{cases}\Rightarrow 56x+24y=8(1)\)

\(n_{H_2}=\dfrac{4,48}{22,4}=0,2(mol)\\ PTHH:Fe+2HCl\to FeCl_2+H_2\\ Mg+2HCl\to MgCl_2+H_2\\ \Rightarrow x+y=0,2(2)\\ (1)(2)\Rightarrow \begin{cases} x=0,1(mol)\\ y=0,1(mol) \end{cases}\Rightarrow \begin{cases} m_{Fe}=0,1.56=5,6(g)\\ m_{Mg}=0,1.24=2,4(g) \end{cases} \)

\(a)n_{H_2}=\dfrac{8,96}{22,4}=0,4mol\\ n_{Fe}=a;n_{Al}=b\)

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

\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(\Rightarrow\left\{{}\begin{matrix}56a+27b=11\\a+1,5b=0,4\end{matrix}\right.\\ \Rightarrow a=0,1;b=0,2\)

\(\%m_{Fe}=\dfrac{0,1.56}{11}\cdot100=50,91\%\\ \%m_{Al}=100-50,91=49,09\%\)

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

0,1            0,2          0,1          0,1

\(2Al+6HCl\rightarrow2AlCl_2+3H_2\)

0,2          0,6           0,2            0,3

\(m_{HCl}=\dfrac{\left(0,2+0,6\right).36,5}{9,125}\cdot100=320g\)       

\(c)m_{dd}=320+11-0,1.2-0,3.2=308,2g\)

\(C_{\%FeCl_2}=\dfrac{0,1.127}{308,2}\cdot100=4,12\%\\ C_{\%AlCl_3}=\dfrac{0,2.133,5}{308,2}\cdot100=8,66\%\)