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a)Gọi x,y lần lượt là số mol của Al, Fe trong hỗn hợp ban đầu (x,y>0)
Sau phản ứng hỗn hợp muối khan gồm: \(\left\{{}\begin{matrix}AlCl_3:x\left(mol\right)\\FeCl_2:y\left(mol\right)\end{matrix}\right.\)
Ta có hệ phương trình: \(\left\{{}\begin{matrix}27x+56y=13,9\\133,5x+127y=38\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\approx0,0896\\y\approx0,205\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,0896\cdot27\cdot100\%}{13,9}\approx17,4\%\\\%m_{Fe}=\dfrac{0,205\cdot56\cdot100\%}{13,9}\approx82,6\%\end{matrix}\right.\)
Theo Bảo toàn nguyên tố Cl, H ta có:\(n_{H_2}=\dfrac{n_{HCl}}{2}=\dfrac{3n_{AlCl_3}+2n_{FeCl_2}}{2}\\ =\dfrac{3\cdot0,0896+2\cdot0,205}{2}=0,3394mol\\ \Rightarrow V_{H_2}=0,3394\cdot22,4\approx7,6l\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24a+27b=5,1\\22,4a+22,4.1,5.b=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ a,\Rightarrow\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\approx47,059\%\\ \Rightarrow\%m_{Al}\approx100\%-47,059\%\approx52,941\%\\ b,n_{HCl}=2.n_{H_2}=2.\left(0,1+0,1.1,5\right)=0,5\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,5}{2}=0,25\left(l\right)\)
a)\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
x 2x x x
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
y 3y y 1,5y
Ta có hệ:
\(\left\{{}\begin{matrix}24x+27y=5,1\\x+1,5y=\dfrac{5,6}{22,4}=0,25\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
\(\%m_{Mg}=\dfrac{0,1\cdot24}{5,1}\cdot100\%=47,06\%\)
\(\%m_{Al}=100\%-47,06\%=52,94\%\)
b)\(\Sigma n_{HCl}=2x+3y=2\cdot0,1+3\cdot0,1=0,5mol\)
\(V=\dfrac{n}{C_M}=\dfrac{0,5}{2}=0,25l=250ml\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{Mg}=\dfrac{6}{24}=0,25\left(mol\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
0,25 ---> 0,5 ---> 0,25 ---> 0,25
\(V_{H_2}=0,25.22,4=5,6\left(l\right)\\ m_{MgCl_2}=0,25.95=23,75\left(g\right)\\ m_{HCl}=0,5.36,5=18,25\left(g\right)\\ m_{ddHCl}=\dfrac{18,25}{18,25\%}=100\left(g\right)\\ m_{H_2}=0,25.2=0,5\left(g\right)\\ m_{dd}=100+6-0,5=105,5\left(g\right)\\ C\%_{MgCl_2}=\dfrac{23,75}{105,5}=22,51\%\)
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a) Chất rắn không tan là Cu
=> m Cu = 19,2(gam)
n Mg = a(mol) ; n Fe = b(mol)
=> 24a + 56b = 32,8 -19,2 = 13,6(1)
$Mg + H_2SO_4 \to MgSO_4 + H_2$
$Fe + H_2SO_4 \to FeSO_4 + H_2$
n H2 = a + b = 6,72/22,4 = 0,3(2)
Từ (1)(2) suy ra a = 0,1 ; b = 0,2
%m Cu = 19,2/32,8 .100% = 58,54%
%m Mg = 0,1.24/32,8 .100% = 7,32%
%m Fe = 100% -58,54% -7,32% = 34,14%
b)
m dd A = 32,8 + 200 - 0,3.2 = 232,2(gam)
n MgSO4 = a = 0,1(mol)
n FeSO4 = b = 0,2(mol)
C% MgSO4 = 0,1.120/232,2 .100% = 5,17%
C% FeSO4 = 0,2.152/232,2 .100% = 13,09%
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\(a,Fe+2HCl\rightarrow FeCl_2+H_2\\ CuO+2HCl\rightarrow CuCl_2+H_2O\\ n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\Rightarrow n_{Fe}=n_{H_2}=0,1\left(mol\right)\\ \Rightarrow\%m_{Fe}=\dfrac{0,1.56}{13,6}.100\%\approx41,176\%\\ \Rightarrow\%m_{CuO}\approx58,824\%\\ b,n_{CuO}=\dfrac{13,6-0,1.56}{80}=0,1\left(mol\right)\\ n_{HCl\left(p.ứ\right)}=2.\left(n_{Fe}+n_{CuO}\right)=2.\left(0,1+0,1\right)=0,4\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,4}{2}=0,2\left(l\right)\)
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a, PT: \(Fe+S\underrightarrow{t^o}FeS\)
Ta có: \(n_{Fe}=\dfrac{16,8}{56}=0,3\left(mol\right)\)
\(n_S=\dfrac{3,2}{32}=0,1\left(mol\right)\)
Xét tỉ lệ: \(\dfrac{0,3}{1}>\dfrac{0,1}{1}\), ta được Fe dư.
Chất rắn A gồm Fe dư và FeS.
Theo PT: \(n_{Fe\left(pư\right)}=n_{FeS}=n_S=0,1\left(mol\right)\)
\(\Rightarrow n_{Fe\left(dư\right)}=0,2\left(mol\right)\)
PT: \(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(FeS+2HCl\rightarrow FeCl_2+H_2S\)
Theo PT: \(\left\{{}\begin{matrix}n_{H_2}=n_{Fe\left(dư\right)}=0,2\left(mol\right)\\n_{H_2S}=n_{FeS}=0,1\left(mol\right)\end{matrix}\right.\)
Ở cùng điều kiện nhiệt độ và áp suất, %V cũng là % số mol.
\(\Rightarrow\left\{{}\begin{matrix}\%V_{H_2}=\dfrac{0,2}{0,2+0,1}.100\%\approx66,67\%\\\%V_{H_2S}\approx33,33\%\end{matrix}\right.\)
b, Ta có: \(\Sigma n_{HCl\left(dadung\right)}=2n_{Fe}+2n_{FeS}=0,6\left(mol\right)\) (1)
PT: \(NaOH+HCl\rightarrow NaCl+H_2O\)
Ta có: \(n_{NaOH}=0,1.2=0,2\left(mol\right)\)
\(\Rightarrow n_{HCl\left(dư\right)}=n_{NaOH}=0,2\left(mol\right)\) (2)
Từ (1) và (2) \(\Rightarrow\Sigma n_{HCl}=0,8\left(mol\right)\)
\(\Rightarrow C_{M_{ddHCl}}=\dfrac{0,8}{0,5}=1,6\left(M\right)\)
Bạn tham khảo nhé!
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{H_2}=\dfrac{3.36}{22.4}=0.15\left(mol\right)\)
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
\(0.15.....0.3.......................0.15\)
\(m_{Mg}=0.15\cdot24=3.6\left(g\right)\)
\(m_{Cu}=10-3.6=6.4\left(g\right)\)
\(\%Mg=\dfrac{3.6}{10}\cdot100\%36\%\)
\(\%Cu=64\%\)
\(V_{dd_{HCl}}=\dfrac{0.3}{2}=0.15\left(l\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2Al + 6HCl \(\rightarrow\) 2AlCl3 + 3H2 (1)
Fe + 2HCl \(\rightarrow\) FeCl2 + H2 (2)
Giả sử khối lượng của dung dịch là 100g
=> mHCl = 7,3g => nHCl = \(\dfrac{7,3}{36,5}=0,2\left(mol\right)\)
Ta có: \(\dfrac{m_{FeCl2}}{100}.100=3,093\) => mFeCl2 = 3,093 (g)
=> nFeCl2 = \(\dfrac{3,093}{127}=0,02\)(mol)
Theo PT(2): nHCl = 2nFeCl2 = 0,04 (mol)
=> nHCl(1) = 0,2-0,04=0,16 (mol)
Theo PT(1): nAlCl3 = \(\dfrac{0,16}{3}\) (mol)
=> mAlCl3 =\(\dfrac{0,16}{3}\).133,5=7,12(g)
=> C%AlCl3 = \(\dfrac{7,12}{100}\).100=7,12%