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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: \(n_{HCl}=2n_{H_2}=0,5\left(mol\right)\)
\(\Rightarrow m_{ddHCl}=\dfrac{0,5\cdot36,5}{7,3\%}=250\left(g\right)\)
\(\Rightarrow V_{HCl}=\dfrac{250}{1,2}\approx208,33\left(ml\right)\)
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:
nMgCl2 = nMg = 0,1 (mol)
nAlCl3 = nAl = 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!
\(a)n_{Mg} = a(mol) ; n_{Fe} = b(mol) \Rightarrow 24a + 56b =2 0(1)\\ Mg + 2HCl \to MgCl_2 + H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = a + b =\dfrac{11,2}{22,4} = 0,5(2)\\ (1)(2) \Rightarrow a = b = 0,25\\ \%m_{Mg} = \dfrac{0,25.24}{20}.100\% = 30\%\\ \%m_{Fe} = 100\%-30\% = 70\%\\ b) \\Mg^0 \to Mg^{2+} + 2e;Fe^0 \to Fe^{3+} + 3e\\ S^{+6} \to S^{+4} + 2e\\ 2n_{Mg} + 3n_{Fe} = 2n_{SO_2}\)
\(n_{SO_2} = \dfrac{0,25.2 + 0,25.3}{2} = 0,625(mol)\\ V_{SO_2} = 0,625.22,4 = 14(lít)\)
\(n_{Cu}=a\left(mol\right),n_{Fe}=b\left(mol\right)\)
\(m_X=64a+56b=16.2\left(g\right)\left(1\right)\)
\(n_{SO_2}=\dfrac{8.96}{22.4}=0.4\left(mol\right)\)
Bảo toàn e :
\(2a+3b=0.4\cdot2=0.8\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.0475,b=0.235\)
\(\%Cu=\dfrac{0.0475\cdot64}{16.2}\cdot100\%=18.76\%\)
\(\%Fe=81.24\%\)
\(b.\)
\(\dfrac{a}{b}=\dfrac{0.0475}{0.235}=\dfrac{19}{94}\)
\(\Rightarrow n_{Cu}=19x\left(mol\right),n_{Fe}=94x\left(mol\right)\)
\(m_X=19x\cdot64+94x\cdot56=22\left(g\right)\)
\(\Rightarrow x=\dfrac{11}{3240}\)
\(n_{H_2}=n_{Fe}=\dfrac{11}{3240}\cdot94=\dfrac{517}{1620}\left(mol\right)\)
\(V_{H_2}=7.15\left(l\right)\)
\(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\\n_{Fe}=c\left(mol\right)\end{matrix}\right.\)⇒ 24a + 27b + 56c = 26,05(1)
\(Mg + 2HCl \to MgCl_2 + H_2\\ 2Al +6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = a + 1,5b + c = \dfrac{13,44}{22,4} = 0,6(2)\)
\(Mg + Cl_2 \xrightarrow{t^o} MgCl_2\\ 2Al + 3Cl_2 \xrightarrow{t^o} 2AlCl_3\\ 2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3\\ n_{Cl_2} = a + 1,5b + 1,5c = \dfrac{17,36}{22,4} = 0,775(3)\)
Từ (1)(2)(3) suy ra: a = 0,325 ; b = -0,05 ; c = 0,35
→ Sai đề.
\(Đặt:\left\{{}\begin{matrix}Fe:x\left(mol\right)\\Zn:y\left(mol\right)\end{matrix}\right.\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ Zn+2HCl\rightarrow ZnCl_2+H_2\\ Tacó:\left\{{}\begin{matrix}56x+65y=5,3\\x+y=0,25\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=1,2\\y=-0,97\end{matrix}\right.\left(vô\:lí\right)\)
Em xem lại đề nha!
a) Đặt \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow27a+56b=11\) (1)
Ta có: \(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
Bảo toàn electron: \(3a+2b=0,4\cdot2=0,8\) (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{11}\cdot100\%\approx49,09\%\\\%m_{Fe}=50,91\%\end{matrix}\right.\)
b) Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{AlCl_3}=n_{Al}=0,2\left(mol\right)\\n_{FeCl_2}=n_{Fe}=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{muối}=m_{AlCl_3}+m_{FeCl_2}=0,2\cdot133,5+0,1\cdot127=39,4\left(g\right)\)
c) Bảo toàn electron: \(3\cdot0,2+3\cdot0,1=2n_{SO_2}\)
\(\Rightarrow n_{SO_2}=0,45\left(mol\right)\) \(\Rightarrow V_{SO_2}=0,45\cdot22,4=10,08\left(l\right)\)
a) Gọi nAl = x, nFe = y
Có 27x + 56y = 11 (1)
Bảo toàn e
3x + 2y = 2.0,4 (2)
Từ 1 và 2 => x = 0,2, y = 0,1
\(\%mAl=\dfrac{0,2.27}{11}.100\%=49,09\%\)
\(\%mFe=100-49,09=50,91\%\)
b) BTKL:
m muối = mkim loại + mHCl - mH2
= 11 + 0,4.2.36,5 - 0,4.2 = 39,4g
c)
Bảo toàn e
Al => Al+3 + 3e S+6 + 2e => S+4
0,2 0,6 2x x
Fe => Fe+3 + 3e
0,1 0,3
=> 2x = 0,6 + 0,3 => x = 0,45 mol
=> VSO2 = 0,45.22,4 = 10,08 lít