Hòa tan hoàn toàn hỗn hợp gồm 7,8 gam Al và Mg cần dùng 29,2 gam HCl , tính khối lượng mỗi kim loại ban đầu
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17 tháng 3 2021
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: \(n_{HCl}=2n_{H_2}=0,5\left(mol\right)\)
\(\Rightarrow m_{ddHCl}=\dfrac{0,5\cdot36,5}{7,3\%}=250\left(g\right)\)
\(\Rightarrow V_{HCl}=\dfrac{250}{1,2}\approx208,33\left(ml\right)\)
14 tháng 10 2021
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: \(\left\{{}\begin{matrix}27a+24b=7,8\\\dfrac{3}{2}a+b=\dfrac{8,96}{22,4}\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{7,8}\cdot100\%\approx69,23\%\\\%m_{Mg}=30,77\%\\C_{M_{HCl}}=\dfrac{0,2\cdot3+0,1\cdot2}{0,2}=4\left(M\right)\end{matrix}\right.\)
MN
9 tháng 6 2021
\(n_{O_2}=\dfrac{5.6}{22.4}=0.25\left(mol\right)\)
\(n_{H_2}=\dfrac{10.08}{22.4}=0.45\left(mol\right)\)
\(n_{Fe}=a\left(mol\right),n_{Al}=b\left(mol\right)\)
\(3Fe+2O_2\underrightarrow{^{^{t^0}}}Fe_3O_4\)
\(a.......\dfrac{2a}{3}\)
\(4Al+3O_2\underrightarrow{^{^{t^0}}}2Al_2O_3\)
\(b.......\dfrac{3b}{4}\)
\(n_{O_2}=\dfrac{2a}{3}+\dfrac{3b}{4}=0.25\left(mol\right)\left(1\right)\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(n_{H_2}=a+1.5b=0.45\left(mol\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.15,b=0.2\)
\(m_{Fe}=0.15\cdot56=8.4\left(g\right)\)
\(m_{Al}=0.2\cdot27=5.4\left(g\right)\)
\(\%m_{Fe}=\dfrac{8.4}{8.4+5.4}\cdot100\%=60.8\%\)
\(\%m_{Al}=100-60.8=39.2\%\)
GN
GV Nguyễn Trần Thành Đạt
Giáo viên
16 tháng 2 2022
\(a,n_{H_2}=\dfrac{2,576}{22,4}=0,115\left(mol\right)\\ Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}95a+133,5b=10,475\\a+1,5b=0,115\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,04\\b=0,05\end{matrix}\right.\\ \%m_{Mg}=\dfrac{0,04.24}{0,04.24+0,05.27}.100\approx41,558\%\Rightarrow\%m_{Al}\approx58,442\%\\ b,n_{HCl}=2.n_{H_2}=2.0,115=0,23\left(mol\right)\\ \Rightarrow x=C\%_{ddHCl}=\dfrac{0,23.36,5}{100}.100=8,395\%\)
15 tháng 2 2022
a) Gọi số mol Mg, Fe là a, b (mol)
=> 24a + 56b = 11,84
\(n_{HCl}=\dfrac{146.14\%}{36,5}=0,56\left(mol\right)\)
PTHH: Mg + 2HCl --> MgCl2 + H2
a--->2a--------->a----->a
Fe + 2HCl --> FeCl2 + H2
b-->2b-------->b------>b
=> 2a + 2b = 0,56
=> a = 0,12; b = 0,16
=> \(\left\{{}\begin{matrix}\%Mg=\dfrac{0,12.24}{11,84}.100\%=24,324\%\\\%Fe=\dfrac{0,16.56}{11,84}.100\%=75,676\%\end{matrix}\right.\)
b) \(n_{H_2}=a+b=0,28\left(mol\right)\)
=> \(V_{H_2}=0,28.22,4=6,272\left(l\right)\)
c) mdd sau pư = 11,84 + 146 - 0,28.2 = 157,28 (g)
=> \(\left\{{}\begin{matrix}C\%_{MgCl_2}=\dfrac{0,12.95}{157,28}.100\%=7,25\%\\C\%_{FeCl_2}=\dfrac{0,16.127}{157,28}.100\%=12,92\%\end{matrix}\right.\)
7 tháng 3 2022
b.\(n_{HCl}=\dfrac{m_{HCl}}{M_{HCl}}=\dfrac{29,2}{36,5}=0,8mol\)
Gọi \(\left\{{}\begin{matrix}n_{Al}=x\\n_{Mg}=y\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Al}=27x\\m_{Mg}=24y\end{matrix}\right.\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
x 3x ( mol )
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
y 2y ( mol )
Ta có:
\(\left\{{}\begin{matrix}27x+24y=7,8\\3x+2y=0,8\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4g\\m_{Mg}=0,1.24=2,4g\end{matrix}\right.\)
Gọi số mol Al, Mg là a, b (mol)
=> 27a + 24b = 7,8 (1)
\(n_{HCl}=\dfrac{29,2}{36,5}=0,8\left(mol\right)\)
PTHH: 2Al + 6HCl --> 2AlCl3 + 3H2
a---->3a
Mg + 2HCl --> MgCl2 + H2
b-->2b
=> 3a + 2b = 0,8 (2)
(1)(2) => a = 0,2 (mol); b = 0,1 (mol)
\(\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Mg}=0,1.24=2,4\left(g\right)\end{matrix}\right.\)