.

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

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

b, Ta có: m _{dd tăng} = m_KL - m_H2

⇒ m_H2 = 16,6 - 15,6 = 1 (g) \(\Rightarrow n_{H_2}=\dfrac{1}{2}=0,5\left(mol\right)\)

Có: 27n_Al + 56n_Fe = 16,6 (1)

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=0,5\left(2\right)\)

Từ (1) và (2) ⇒ n_Al = n_Fe = 0,2 (mol)

\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Fe}=0,2.56=11,2\left(g\right)\end{matrix}\right.\)

c, Theo PT: \(n_{HCl}=2n_{H_2}=1\left(mol\right)\Rightarrow m_{ddHCl}=\dfrac{1.36,5}{40\%}=91,25\left(g\right)\)

⇒ m _{dd sau pư} = 91,25 + 15,6 = 106,85 (g)

Theo PT: \(\left\{{}\begin{matrix}n_{AlCl_3}=n_{Al}=0,2\left(mol\right)\\n_{FeCl_2}=n_{Fe}=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{AlCl_3}=\dfrac{0,2.133,5}{106,85}.100\%\approx24,98\%\\C\%_{FeCl_2}=\dfrac{0,2.127}{106,85}.100\%\approx23,77\%\end{matrix}\right.\)

\(2Al+6HCl->2AlCl_3+3H_2\\ Fe+2HCl->FeCl_2+H_2\\ n_{H_2}=\dfrac{16,6-15,6}{2}=0,5mol\\ n_{HCl}=1mol\\ n_{Al}=a;n_{Fe}=b\\ 27a+56b=16,6\\ 3a+2b=1\\ a=b=0,2\\ m_{Al}=0,2.27=5,4g\\ m_{Fe}=0,2.56=11,2g\\ m_{ddsau}=15,6+\dfrac{36,5}{0,4}=106,85g\\ C\%_{AlCl_3}=\dfrac{133,5.0,2}{106,85}.100\%=24,99\%\\ C\%_{FeCl_2}=\dfrac{127.0,2}{106,85}.100\%=23,77\%\)

a, PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

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

b, Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Mg}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 24y = 7,8 (1)

Ta có: m _{dd tăng} = m_KL - m_H2 ⇒ m_H2 = 7,8 - 7 = 0,8 (g) 

\(\Rightarrow n_{H_2}=\dfrac{0,8}{2}=0,4\left(mol\right)\)

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

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

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{7,8}.100\%\approx69,23\%\\\%m_{Mg}\approx30,77\%\end{matrix}\right.\)

khối lượng kim loại là 7,8 nhưng khối lượng tăng là 7 vậy 0,8 gam giảm đi là m_H2 thoát ra

n_H2 = 0,8/2 = 0,4 mol

gọi x, y lần lượt là nMg , nAl

ta có hệ phương trình

24x + 27y = 7,8

x + 1,5y = 0,4

⇒ x = 0,1

y = 0,2

%mMg = 0,1.24/7,8 = 30,77%

%mAl = 100% - 30,77% = 69,23%

\(a,Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ m_{tăng}=m_{hhMg,Al}-m_{H_2}\\ \Leftrightarrow7=7,8-m_{H_2}\\ \Leftrightarrow m_{H_2}=0,8\left(g\right)\\ \Rightarrow n_{H_2}=\dfrac{0,8}{2}=0,4\left(mol\right)\\ Đặt:a=n_{Al}\left(mol\right);n_{Mg}=b\left(mol\right)\left(a,b>0\right)\\ \Rightarrow\left\{{}\begin{matrix}24b+27a=7,8\\b+1,5a=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\\m_{Mg}=24.0,1=2,4\left(g\right);m_{Al}=0,2.27=5,4\left(g\right)\\ \Rightarrow\%m_{Al}=\dfrac{0,2.27}{7,8}.100\approx69,231\%\\ \Rightarrow\%m_{Mg}\approx30,769\%\\ c,m_{muối}=m_{MgSO_4}+m_{Al_2\left(SO_4\right)_3}=120b+342.0,5a=120.0,1+342.0,5.0,2=46,2\left(g\right)\)

giúp em với ạ

PTHH: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)

               2a______3a__________a_______3a    (mol)

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

                b_______b________b______b        (mol)

Ta lập HPT: \(\left\{{}\begin{matrix}27\cdot2a+24b=7,8\\3a+b=\dfrac{200\cdot19,6\%}{98}=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1\cdot24=2,4\left(g\right)\\m_{Al}=5,4\left(g\right)\\n_{Al_2\left(SO_4\right)_3}=0,1\left(mol\right)=n_{MgSO_4}\\n_{H_2}=0,4\left(mol\right)\Rightarrow m_{H_2}=0,4\cdot2=0,8\left(g\right)\end{matrix}\right.\)

Mặt khác: \(m_{dd}=m_{KL}+m_{ddH_2SO_4}-m_{H_2}=207\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,1\cdot342}{207}\cdot100\%\approx16,52\%\\C\%_{MgSO_4}=\dfrac{0,1\cdot120}{207}\cdot100\%\approx5,8\%\end{matrix}\right.\)

Refer

\(n_{H_2} = \dfrac{4,35-3,95}{2} = 0,2(mol)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\)

\(\left\{{}\begin{matrix}Mg:x\left(mol\right)\\Al:y\left(mol\right)\end{matrix}\right.\)→ \(\left\{{}\begin{matrix}24x+27y=4,35\\x+1,5y=0,2\end{matrix}\right.\)→\(\left\{{}\begin{matrix}x=0,125\\y=0,05\end{matrix}\right.\)

Vậy :

\(\%m_{Mg} = \dfrac{0,125.24}{4,35}.100\% = 68,97\%\\ \%m_{Al} = 100\% - 68,97\% = 31,03\%\)