a, PT: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

\(MgO+H_2SO_4\rightarrow MgSO_4+H_2O\)

Ta có: \(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)

Theo PT: \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,4\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,4.27}{14,8}.100\%\approx72,97\%\\\%m_{MgO}\approx27,03\%\end{matrix}\right.\)

b, Ta có: \(n_{MgO}=\dfrac{14,8-0,4.27}{40}=0,1\left(mol\right)\)

Theo PT: \(n_{H_2SO_4}=n_{H_2}+n_{MgO}=0,7\left(mol\right)\)

\(\Rightarrow m_{H_2SO_4}=0,7.98=68,6\left(g\right)\)

\(\Rightarrow m_{ddH_2SO_4}=\dfrac{68,6}{10\%}=686\left(g\right)\)

c, Theo PT: \(\left\{{}\begin{matrix}n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}=0,2\left(mol\right)\\n_{MgSO_4}=n_{MgO}=0,1\left(mol\right)\end{matrix}\right.\)

Ta có: m _{dd sau pư} = 14,8 + 686 - 0,6.2 = 699,6 (g)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,2.342}{699,6}.100\%\approx9,78\%\\C\%_{MgSO_4}=\dfrac{0,1.120}{699,6}.100\%\approx1,72\%\end{matrix}\right.\)

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

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

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

a, m_{chất rắn} = m_Cu = 12,8 (g)

=> m_{hh (Al, Zn)} = 28,5 - 12,8 = 16,7 (g)

\(m_{H_2SO_4}=7,84\%.500=39,2\left(g\right)\\ n_{H_2SO_4}=\dfrac{39,2}{98}=0,4\left(mol\right)\)

Gọi \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Zn}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\)

PTHH:

2Al + 3H₂SO₄ ---> Al₂(SO₄)₃ + 3H₂↑

a----->1,5a---------->0,5a-------->1,5a

Zn + H₂SO₄ ---> ZnSO₄ + H₂

b---->b------------>b--------->b

m_{dd (tăng)} = m_{hh (Al, Zn)} - m_H2 = 27a + 65a - 2.(1,5a - b) = 24a - 63b = 515 - 500 = 15 (g)

=> Hệ pt \(\left\{{}\begin{matrix}27a+65b=15,7\\24a-63b=15\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\left(TM\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{12,8}{28,5}.100\%=44,9\%\\\%m_{Al}=\dfrac{0,1.27}{28,5}.100\%=18,9\%\\\%m_{Zn}=100\%-44,9\%-18,9\%=36,2\%\end{matrix}\right.\)

b, \(n_{H_2SO_{4\left(dư\right)}}=0,4-0,1.1,5-0,2=0,05\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,05.342}{515}.100\%=3,32\%\\C\%_{ZnSO_4}=\dfrac{0,2.161}{515}.100\%=6,25\%\\C\%_{H_2SO_{4\left(dư\right)}}=\dfrac{0,05.98}{515}.100\%=0,95\%\end{matrix}\right.\)

Gọi x,y là số mol của AI và Fe

2Al + 3H2SO4 -> Al2(SO4)3 + 3H2

x --------------------... \(\frac{3x}{2}\)

Fe + H2SO4 -> FeSO4 + H2

y ----------------------> y

n H2 = 0,56 / 22,4 = 0,025 mol

Ta có hệ \(\begin{cases}27x+56y=0,83\\x+\frac{3x}{2}=0,025\end{cases}\)

\(\begin{cases}x=0,01mol\\y=0,01mol\end{cases}\)

=> m Al = 0,01 x 27 = 0,27 g
=> m Fe = 0,01 x 56 = 0,56 g

=> % Al = 0,27 / 0,83 x 100% = 32,53 %
=> % Fe = 0,56 / 0,83 x 100% = 67,47 %

Vì Cu ko pư với dd H₂SO₄ nên khí H₂ thu được là của Ca pư

n_H2 = \(\frac{0,56}{22,4}\) = 0,025 (mol)

Ca + H₂SO₄ \(\rightarrow\) CaSO₄ + H₂

0,025 <--- 0,025 <--------- 0,025 (mol)

a) m_Ca = 0,025 . 40 = 1(g)

m_Cu = 10 - 1 = 9(g)

b) m _{dd H2SO4} pư = \(\frac{0,025.98}{10\%}\) = 24,5 (g)

c) m _{dd H2SO4} bđ = \(\frac{24,5}{20\%}\) = 122,5 (g)