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a, \(n_{H_2}=\dfrac{0,896}{22,4}=0,04\left(mol\right)\)
PTHH: Fe + 2HCl ---> FeCl2 + H2
0,04<-----------------------0,04
\(m_{Cu}=3,52-0,04.56=1,28\left(g\right)\)
Bảo toàn O: \(\left\{{}\begin{matrix}n_{O\left(oxit\right)}=\dfrac{4,8-3,52}{16}=0,08\left(mol\right)\\n_{O\left(CuO\right)}=n_{Cu}=\dfrac{1,28}{64}=0,02\left(mol\right)\end{matrix}\right.\)
=> \(n_{O\left(Fe_xO_y\right)}=0,08-0,02=0,06\left(mol\right)\)
PTHH:CuO + H2 --to--> Cu + H2O
0,02<--------------0,02
=> \(\left\{{}\begin{matrix}\%m_{CuO}=\dfrac{0,02.80}{4,8}.100\%=33,33\%\\\%m_{Fe_xO_y}=100\%-33,33\%=66,67\%\end{matrix}\right.\)
b, CTHH là FexOy
=> x : y = 0,04 : 0,06 = 2 : 3
=> CTHH là Fe2O3
a)
Gọi \(\left\{{}\begin{matrix}n_{CuO}=a\left(mol\right)\\n_{Fe_xO_y}=b\left(mol\right)\end{matrix}\right.\)
=> 80a + b(56x + 16y) = 4,8 (1)
PTHH: CuO + H2 --to--> Cu + H2O
a------------->a
FexOy + yH2 --to--> xFe + yH2O
b----------------->bx
=> 64a + 56bx = 3,52 (2)
PTHH: Fe + 2HCl --> FeCl2 + H2
bx-------------------->bx
=> \(bx=\dfrac{0,892}{22,4}\approx0,04\left(mol\right)\)
(2) => a = 0,02 (mol)
(1) => by = 0,06
Xét \(\dfrac{bx}{by}=\dfrac{x}{y}=\dfrac{0,04}{0,06}=\dfrac{2}{3}\)
=> CTPT: Fe2O3
=> b = 0,02 (mol)
\(\left\{{}\begin{matrix}m_{CuO}=0,02.80=1,6\left(g\right)\\m_{Fe_2O_3}=0,02.160=3,2\left(g\right)\end{matrix}\right.\)
b) CTPT: Fe2O3
- Đặt \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\Rightarrow27a+24b=10,2\left(1\right)\)
Khí thu được sau p/ứ là khí H2: \(n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\)
2 3 (mol)
a 3/2 a (mol)
\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
1 1 (mol)
b b (mol)
Từ hai PTHH trên ta có: \(\dfrac{3}{2}a+b=0,5\left(2\right)\)
\(\left(1\right),\left(2\right)\) ta có hệ: \(\left\{{}\begin{matrix}27a+24b=10,2\\\dfrac{3}{2}a+b=0,5\end{matrix}\right.\)
Giải ra ta có \(\left\{{}\begin{matrix}a=0,2\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\)
a) \(\%Al=\dfrac{m_{Al}}{m_{hh}}.100\%=\dfrac{0,2.27}{10,2}.100\%\approx52,94\%\)
\(\%Mg=100\%-\%Al=100\%-52,94=47,06\%\)
b)
\(3H_2+Fe_2O_3\rightarrow^{t^0}2Fe+3H_2O\)
3 1 2 (mol)
0,5 1/6 1/3 (mol)
\(m_{Fe}=\dfrac{1}{3}.56=\dfrac{56}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(pứ\right)}=\dfrac{1}{6}.160=\dfrac{80}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(dư\right)}=60-m_{Fe}=60-\dfrac{56}{3}=\dfrac{124}{3}\left(g\right)\)
\(a=\dfrac{124}{3}+\dfrac{80}{3}=68\left(g\right)\)
Đặt \(\left\{{}\begin{matrix}n_{Al}=x\\n_{Zn}=y\\n_{Cu}=z\end{matrix}\right.\) ( mol )
\(m_{hh}=27x+65y+64z=22,8\left(g\right)\) (1)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\)
x 1,5x ( mol )
\(Zn+2HCl\rightarrow ZnCl_2+H_2\uparrow\)
y y ( mol )
\(n_{H_2}=1,5x+y=\dfrac{11,2}{22,4}=0,5\left(mol\right)\) (2)
B là Cu
\(2Cu+O_2\rightarrow\left(t^o\right)2CuO\)
z z ( mol )
\(n_{CuO}=z=\dfrac{5,5}{80}=0,06875\left(mol\right)\) (3)
\(\left(1\right);\left(2\right);\left(3\right)\Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,2\\z=0,06875\end{matrix}\right.\)
\(\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Zn}=0,2.65=13\left(g\right)\\m_{Cu}=22,8-5,4-13=4,4\left(g\right)\end{matrix}\right.\)
PTHH: \(Fe_2O_3+3H_2\underrightarrow{t^o}2Fe+3H_2O\)
\(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)
\(2Cu+O_2\underrightarrow{t^o}2CuO\)
Ta có: \(n_{O_2}=\dfrac{1,6}{32}=0,05\left(mol\right)\)\(\Rightarrow n_{Cu}=n_{CuO}=0,1\left(mol\right)\)
\(\Rightarrow\%m_{CuO}=\dfrac{0,1\cdot80}{40}\cdot100\%=20\%\)
\(\Rightarrow\%m_{Fe_2O_3}=80\%\)
Bài 3 :
\(a) n_{CuO} = a(mol) ; n_{Fe_2O_3} = b(mol)\\ \Rightarrow 80a + 160b = 36(1)\\ CuO + H_2 \xrightarrow{t^o} Cu + H_2O\\ Fe_2O_3 + 3H_2 \xrightarrow{t^o} 2Fe + H_2O\\ n_{Cu} = n_{CuO} = a(mol)\\ n_{Fe} = 2n_{Fe_2O_3} = 2b(mol)\\ \Rightarrow 64a = 4.2b.56(2)\\ (1)(2) \Rightarrow a = 0,35 ; b = 0,05\\ m_{CuO} = 0,35.80 = 28(gam)\\ m_{Fe_2O_3} = 0,05.160 = 8(gam)\\ b) n_{H_2} = a + 3b = 0,5(mol) \Rightarrow V_{H_2} = 0,5.22,4 = 11,2(lít)\)
\(c) Fe + 2HCl \to FeCl_2 + H_2\\ n_{HCl} = 2n_{Fe} = 0,1.2 = 0,2(mol)\\ \Rightarrow m_{dd\ HCl} = \dfrac{0,2.36,5}{10,95\%} = 66,67(gam)\)
Bài 4 :
\(a) Zn + 2HCl \to ZnCl_2 + H_2\\ n_{H_2} = n_{Zn} = \dfrac{1,95}{65} = 0,03(mol)\\ V_{H_2} = 0,03.22,4= 0,672(lít)\\ b) n_{HCl} =2 n_{H_2} = 0,06(mol)\\ \Rightarrow C\%_{HCl} = \dfrac{0,06.36,5}{120}.100\% = 1,825\%\\ m_{dd\ sau\ pư} = 1,95 + 120 - 0,03.2 = 121,89(gam)\\ \Rightarrow C\%_{ZnCl_2} = \dfrac{0,03.136}{121,89}.100\% = 3,35\%\)
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