\(a)n_{H_2}=\dfrac{4,958}{24,79}=0,2\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\left(1\right)\\ Fe+2HCl\rightarrow FeCl_2+H_2\left(2\right)\\ n_{Al}=a;n_{Fe}=b\\ \left\{{}\begin{matrix}1,5a+b=0,2\\27a+56b=5,5\end{matrix}\right.\\ a=0,1\\ b=0,05\\ \%_{Al}=\dfrac{0,1.27}{5,5}\cdot100=49\%\\ \%_{Fe}=100-49=51\%\\ b)n_{HCl\left(1\right)_{ }}=0,1\cdot\dfrac{6}{2}=0,3\left(mol\right)\\ n_{HCl\left(2\right)}=0,05.2=0,1\left(mol\right)\\ n_{HCl}=0,3+0,1=0,4\left(mol\right)\\ C_{M_{HCl}}=\dfrac{0.4}{0,5}=0,8M\)

\(a.Đặt:\left\{{}\begin{matrix}Zn:x\left(mol\right)\\Mg:y\left(mol\right)\end{matrix}\right.\\ Zn+2HCl\rightarrow ZnCl_2+H_2\\ Mg+2HCl\rightarrow MgCl_2+H_2\\ n_{H_2}=0,3\left(mol\right)\\ Tacó:\left\{{}\begin{matrix}65x+24y=11,3\\x+y=0,3\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\\ \Rightarrow m_{Zn}=0,1.65=6,5\left(g\right);m_{Mg}=0,2.24=4,8\left(g\right)\\ b.\%m_{Zn}=\dfrac{6,5}{11,3}=57,52\%;\%m_{Mg}=100-57,52=42,48\%\\ c.3H_2+Fe_2O_3-^{t^o}\rightarrow2Fe+3H_2O\\ TheoPT:n_{Fe_2O_3}=\dfrac{1}{3}n_{H_2}=0,1\left(mol\right)\\ \Rightarrow m_{Fe_2O_3}=0,1.160=16\left(g\right)\)

n Al = a(mol) ; n Fe = b(mol)

=> 27a + 56b = 20,65(1)

2Al + 3H2SO4 → Al2(SO4)3 + 3H2

a...........1,5a............0,5a............1.5a..(mol)

Fe + H2SO4 → FeSO4 + H2

b...........b..............b............b......(mol)

=> n H2 = 1,5a + b = 0,725(2)

Từ 1,2 suy ra a = 0,35 ; b = 0,2

Suy ra :

%m Al = 0,35.27/20,65  .100% = 45,76%
%m Fe = 100% -45,76% = 54,24%

m H2SO4 = (1,5a + b).98 = 71,05 gam

m muối = m kim loại + m H2SO4 -m H2 = 20,65 + 71,05 -0,725.2 = 90,25 gam

_{Không viết phương trình nhá !!}

a) Gọi a và b lần lượt là số mol của Mg và Al

\(\Rightarrow24a+27b=1,035\)  (1)

Ta có: \(n_{H_2}=\dfrac{1,176}{22,4}=0,0525\left(mol\right)\)

Bảo toàn electron: \(2a+3b=2\cdot0,0525\)  (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,015\\b=0,025\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,015\cdot24}{1,035}\cdot100\%\approx34,78\%\\\%m_{Al}=65,22\%\end{matrix}\right.\)

b) Ta có: \(\left\{{}\begin{matrix}\Sigma n_{H_2SO_4}=\dfrac{100\cdot9,8\%}{98}=0,1\left(mol\right)\\n_{H_2SO_4\left(p/ứ\right)}=n_{H_2}=0,0525\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow n_{H_2SO_4\left(dư\right)}=0,0475\left(mol\right)\) \(\Rightarrow m_{H_2SO_4\left(dư\right)}=0,0475\cdot98=4,655\left(g\right)\)

c) Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{Al_2O_3}=\dfrac{1}{2}n_{Al}=0,0125\left(mol\right)\\n_{MgO}=n_{Mg}=0,015\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{oxit}=0,0125\cdot102+0,015\cdot40=1,875\left(g\right)\)

a) Gọi \(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\end{matrix}\right.\)

\(m_A=1,035\left(g\right)\rightarrow24a+27b=1,035\) (1)

\(Mg+2H_2SO_4đ\rightarrow MgSO_4+SO_2+2H_2O\)

a ------------ 2a ----------------------- a (mol) 

\(2Al+6H_2SO_4đ\rightarrow Al_2\left(SO_4\right)_3+3SO_2+6H_2O\)

b ------------ 3b -------------------------- 1,5b (mol)

\(n_{SO_2}=\dfrac{1,176}{22,4}=0,0525\left(mol\right)\rightarrow a+1,5b=0,0525\) (2) 

Giải hệ (1)(2) \(\rightarrow\left\{{}\begin{matrix}a=0,015\\b=0,025\end{matrix}\right.\)

\(\rightarrow\left\{{}\begin{matrix}m_{Mg}=0,015.24=0,36\left(g\right)\\m_{Al}=0,025.27=0,675\left(g\right)\end{matrix}\right.\)

\(\rightarrow\left\{{}\begin{matrix}\%m_{Mg}=34,78\%\\\%m_{Al}=65,22\%\end{matrix}\right.\)

b) \(\Sigma_{n_{H_2SO_4}}=2a+3b=0,105\left(mol\right)\)

\(\rightarrow m_{H_2SO_4}=0,105.98=10,29\left(g\right)\)

c. \(\left\{{}\begin{matrix}n_{MgO}=n_{Mg}=0,015\left(mol\right)\\n_{Al_2O_3}=\dfrac{1}{2}.n_{Al}=0,0125\left(mol\right)\end{matrix}\right.\)

\(\rightarrow m_{oxit}=0,015.40+0,0125.102=1,875\left(g\right)\)

a)

\(n_{H_2} = \dfrac{3,36}{22,4} = 0,15(mol)\\ n_{Mg} = a\ mol; n_{Fe} = b\ mol\\ Mg + 2HCl \to MgCl_2 + H_2\\ Fe + 2HCl \to FeCl_2 + H_2 \)

Theo PTHH, ta có: 

\(\left\{{}\begin{matrix}24a+56b=5,2\\a+b=0,15\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=0,1\\b=0,05\end{matrix}\right.\)

Suy ra: 

\(\%m_{Mg} = \dfrac{0,1.24}{5,2}.100\% = 46,15\%\\ \%m_{Fe} = 100\% - 46,15\% = 53,85\% \)

b)

\(n_{HCl} = 2n_{H_2} = 0,15.2 = 0,3(mol)\\ \Rightarrow V_{dd\ HCl} = \dfrac{0,3}{1} = 0,3(lít) \)

Đặt : 

nMg = a mol 

nFe= b mol 

mhh = 24a + 56b = 5.2 (g) (1) 

Mg + 2HCl => MgCl2 + H2

Fe + 2HCl => FeCl2 + H2 

nH2 = a + b = 0.15 (2) 

(1) , (2) 

a = 0.1

b = 0.05

%Mg = 2.4/5.2 * 100% = 46.15%

%Fe = 100 - 46.15 = 53.85%

nHCl = 2a + 2b = 0.05 * 2 + 0.1*2 = 0.3 (mol) 

VddHCl = 0.3/1=0.3 (l) 

PTHH: \(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)  (1)

            \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)  (2)

a) Ta có: \(\Sigma n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

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

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

Ta lập được hệ phương trình:

\(\left\{{}\begin{matrix}56a+24b=5,2\\a+b=0,15\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,05\\b=0,1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Fe}=0,05\cdot56=2,8\left(g\right)\\m_{Mg}=0,1\cdot24=2,4\left(g\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{2,8}{5,2}\cdot100\%\approx53,85\%\\\%m_{Mg}=46,15\%\end{matrix}\right.\)

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

\(\Rightarrow\Sigma n_{HCl}=0,3mol\) \(\Rightarrow V_{HCl}=\dfrac{0,3}{1}=0,3\left(l\right)=300\left(ml\right)\)

\(n_{SO_2}=\dfrac{8,4}{22,4}=0,375\left(mol\right)\)

PTHH: \(2Al+6H_2SO_4\underrightarrow{t^o}Al_2\left(SO_4\right)_3+3SO_2+6H_2O\\ Mg+2H_2SO_4\underrightarrow{t^o}MgSO_4+SO_2+2H_2O\)

Đặt \(n_{Al}=a\left(mol\right);n_{Mg}=b\left(mol\right)\)

Ta có \(\left\{{}\begin{matrix}27a+24b=7,65\\1,5a+b=0,375\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}a=0,15\\b=0,15\end{matrix}\right.\)

\(\%m_{Al}=\dfrac{27.0,15}{7,65}.100\%=52,94\%\\ \%m_{Mg}=100\%-52,94\%=47,06\%\)

.

\(m_{H_2SO_4}=\dfrac{100\cdot9,8\%}{100\%}=9,8g\Rightarrow n_{H_2SO_4}=0,1mol\)

\(n_{H_2}=\dfrac{1,176}{22,4}=0,0525mol\)

Gọi \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\)\(\Rightarrow24x+27y=1,305\left(1\right)\)

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)

\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O\)

\(\Rightarrow x+\dfrac{3}{2}y=n_{H_2SO_4}=0,1\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=-0,0825\\y=0,122\end{matrix}\right.\)

Số âm=???

nSO2= 0,4(mol)

Đặt: nAl=a(mol); nMg=b(mol)  (a,b>0)

PTHH: 2 Al + 6 H2SO4(đ) -to-> Al2(SO4)3 + 3 SO2 + 6 H2O

a____________3a______0,5a___________1,5a(mol)

Mg + 2 H2SO4(đ) -to-> MgSO4 + SO2 + 2 H2O

b_____2b________b________b(mol)

Ta có hpt:

\(\left\{{}\begin{matrix}27a+24b=7,8\\1,5a+b=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)

=> mMg=0,1.24=2,4(g)

=>%mMg=(2,4/7,8).100=30,769%

=> %mAl= 69,231%