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\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
a, Ta có: 65nZn + 27nAl = 11,9 (1)
PT: \(Zn+2HCl\rightarrow ZnCl_2+H_2\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
Theo PT: \(n_{H_2}=n_{Zn}+\dfrac{3}{2}n_{Al}=\dfrac{9,916}{24,79}=0,4\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Zn}=0,1\left(mol\right)\\n_{Al}=0,2\left(mol\right)\end{matrix}\right.\)
⇒ mZn = 0,1.65 = 6,5 (g)
mAl = 0,2.27 = 5,4 (g)
b, Theo PT: nZnCl2 = nZn = 0,1 (mol)
nAlCl3 = nAl = 0,2 (mol)
⇒ m muối = 0,1.136 + 0,2.133,5 = 40,3 (g)
c, Theo PT: nHCl = 2nH2 = 0,8 (mol)
\(\Rightarrow m_{ddHCl}=\dfrac{0,8.36,5}{10\%}=292\left(g\right)\)
PTHH: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\)
a_____3a______________\(\dfrac{3}{2}\)a (mol)
\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
b_____2b_____________b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}27a+24b=7,8\\\dfrac{3}{2}a+b=\dfrac{8,96}{22,4}\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{7,8}\cdot100\%\approx69,23\%\\\%m_{Mg}=30,77\%\\C_{M_{HCl}}=\dfrac{0,2\cdot3+0,1\cdot2}{0,2}=4\left(M\right)\end{matrix}\right.\)
Câu 1:
\(n_{H_2}=\dfrac{2.91362}{22.4}=0.13mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
a a a a
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
2b 3b b 3b
Ta có: \(\left\{{}\begin{matrix}24a+54b=2.58\\a+3b=0.13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.04\\b=0.03\end{matrix}\right.\)
\(m_{Mg}=0.04\times24=0.96g\)
\(m_{Al}=0.03\times2\times27=1.62g\)
\(V_{H_2SO_4}=\dfrac{0.04+3\times0.03}{0.5}=0.26l\)
Câu 2:
\(n_{H_2}=\dfrac{3.136}{22.4}=0.14mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
a a a a
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
b b b b
Ta có: \(\left\{{}\begin{matrix}24a+56b=4.96\\a+b=0.14\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.09\\b=0.05\end{matrix}\right.\)
\(m_{Mg}=0.09\times24=2.16g\)
\(m_{Fe}=0.05\times56=2.8g\)
\(C\%_{H_2SO_4}=\dfrac{0.14\times98\times100}{200}=6.86\%\)
Câu 3:
\(n_{H_2}=\dfrac{1.568}{22.4}=0.07mol\)
\(Ba+H_2SO_4\rightarrow BaSO_4+H_2\)
a a a a
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
b b b b
Ta có: \(\left\{{}\begin{matrix}137a+24b=3.94\\a+b=0.07\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.02\\b=0.05\end{matrix}\right.\)
\(m_{Ba}=0.02\times137=2.74g\)
\(m_{Mg}=0.05\times24=1.2g\)
\(CM_{H_2SO_4}=\dfrac{0.07}{0.1}=0.7M\)
Bb