Hỗn hợp x gồm Fe và CuO, cho 30 gam x phản ứng vừa hết với dd HCL 1, 6 m thì thấy giải phóng 5, 6 lít khí ở điều kiện tiêu chuẩn. Hãy cho biết:
1, %KL mỗi chất trong x.
2, Thể tích dung dịch axit đã dùng
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1)
$Fe + 2HCl \to FeCl_2 + H_2$
$CuO + 2HCl \to CuCl_2 + H_2O$
Theo PTHH, $n_{Fe} = n_{H_2} = \dfrac{5,6}{22,4} = 0,25(mol)$
$\%m_{Fe} = \dfrac{0,25.56}{30}.100\% = 46,67\%$
$\%m_{CuO} = 100\% - 46,67\% = 53,33\%$
2)
$n_{CuO} = \dfrac{30 - 0,25.56}{80} = 0,2(mol)$
Ta có : $n_{HCl} =2n_{Fe} + 2n_{CuO} = 0,9(mol)$
$\Rightarrow V_{dd\ HCl} =\dfrac{0,9}{1,6} = 0,5625(lít)$
Gọi nFe = x ; nCuO = y (mol)
Phương trình : Fe + 2HCl --> FeCl2 + H2
x -> 2x -> x
CuO + 2HCl ---> CuCl2 + H2O
Lại có \(x=n_{H_2}=\dfrac{V}{22,4}=\dfrac{5,6}{22,4}=0,25\)(mol)
=> \(m_{Fe}=n.M=0,25.56=14\left(g\right)\)
=> \(m_{Cu}=30-14=16\left(g\right)\)
=> \(\%Fe=46,7\%;\%Cu=53,3\%\)
b) \(V_{Hcl}=\dfrac{n}{C_M}=\dfrac{0,5}{1,6}=\dfrac{5}{16}\left(l\right)\)
a. \(n_{H_2}=\dfrac{6.72}{22,4}=0,3\left(mol\right)\)
PTHH : Mg + 2HCl -> MgCl2 + H2
PTHH : Fe + 2HCl -> FeCl2 + H2
Gọi \(n_{Mg}=a\left(mol\right);n_{Fe}=b\left(mol\right)\)
\(\Rightarrow24a+56b=10,4\left(g\right)\left(1\right)\)
\(\Rightarrow a+b=0,3\left(mol\right)\left(2\right)\)
Từ \(\left(1\right)\left(2\right)\Rightarrow a=0,2\left(mol\right),b=0,1\left(mol\right)\)
\(\%m_{Mg}=\dfrac{0,2.24}{10,4}=46,1\%\)
\(\%m_{Fe}=100\%-46,1\%=53,9\%\)
b. \(n_{hh}=0,1+0,2=0,3\left(mol\right)\)
Theo PT : \(n_{HCl}=2n_{hh}=0,6\left(mol\right)\)
\(C\%_{HCl}=\dfrac{0,6.36,5}{300}.100=7,3\%\)
c. Theo PT : \(n_{MgCl_2}=n_{Mg}=0,2\left(mol\right)\)
\(n_{FeCl_2}=n_{Fe}=0,1\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{MgCl_2}=\dfrac{0,2.95}{10,4+300-0,6}=6,13\%\\C\%_{FeCl_2}=\dfrac{0,1.127}{10,4+300-0,6}=4,09\%\end{matrix}\right.\)
\(\sqrt{x-1}\le2\\ < =>0\le x-1\le4\\ < =>1\le x\le5\)
\(\sqrt{3x-2}=2-x\left(x\ge\dfrac{2}{3}\right)\\ < =>\left\{{}\begin{matrix}2-x\ge0\\3x-2=\left(2-x\right)^2=x^2-4x+4\end{matrix}\right.\\ < =>\left\{{}\begin{matrix}-x\ge-2\\x^2-7x+6=0\end{matrix}\right.\\ < =>\left\{{}\begin{matrix}x\le2\\\left(x-6\right)\left(x-1\right)=0\end{matrix}\right.\\ < =>\left\{{}\begin{matrix}x\le2\\\left[{}\begin{matrix}x=6\\x=1\end{matrix}\right.\end{matrix}\right.< =>x=1\left(TM\right)\)
\(\sqrt{3+2\sqrt{2}}\) + \(\sqrt{6-4\sqrt{2}}\)
= \(\sqrt{2+2\sqrt{2}+1}\) + \(\sqrt{4-4\sqrt{2}+2}\)
= \(\sqrt{\left(\sqrt{2}+1\right)^2}\) + \(\sqrt{\left(2-\sqrt{2}\right)^2}\)
= \(\sqrt{2}\) + 1 + 2 - \(\sqrt{2}\)
= 3
1)
$Fe + 2HCl \to FeCl_2 + H_2$
$CuO + 2HCl \to CuCl_2 + H_2O$
Theo PTHH, $n_{Fe} = n_{H_2} = \dfrac{5,6}{22,4} = 0,25(mol)$
$\%m_{Fe} = \dfrac{0,25.56}{30}.100\% = 46,67\%$
$\%m_{CuO} = 100\% - 46,67\% = 53,33\%$
2)
$n_{CuO} = \dfrac{30 - 0,25.56}{80} = 0,2(mol)$
Ta có : $n_{HCl} =2n_{Fe} + 2n_{CuO} = 0,9(mol)$
$\Rightarrow V_{dd\ HCl} =\dfrac{0,9}{1,6} = 0,5625(lít)$
1) \(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
PTHH: Fe + 2HCl ---> FeCl2 + H2
0,25<-0,5<------0,25<----0,25
=> \(\left\{{}\begin{matrix}m_{Fe}=0,25.56=14\left(g\right)\\n_{CuO}=30-14=16\left(g\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{14}{30}.100\%=46,67\%\\\%m_{CuO}=100\%-46,67\%=53,33\%\end{matrix}\right.\)
2) \(n_{CuO}=\dfrac{16}{80}=0,2\left(mol\right)\)
PTHH: CuO + 2HCl ---> CuCl2 + H2O
0,2----->0,4
=> \(V_{ddHCl}=\dfrac{0,4+0,5}{1,6}=0,5625M\)