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a) Gọi số mol H2 là x
=> \(n_{H_2O}=x\left(mol\right)\)
Theo ĐLBTKL: \(m_A+m_{H_2}=m_B+m_{H_2O}\)
=> 200 + 2x = 156 + 18x
=> x = 2,75 (mol)
=> \(V_{H_2}=2,75.22,4=61,6\left(l\right)\)
b) Gọi \(\left\{{}\begin{matrix}n_{CuO}=a\left(mol\right)\\n_{Fe_2O_3}=1,5a\left(mol\right)\\n_{Al_2O_3}=b\left(mol\right)\end{matrix}\right.\)
=> 80a + 240a + 102b = 200
=> 320a + 102b = 200
PTHH: CuO + H2 --to--> Cu + H2O
a---------------->a
Fe2O3 + 3H2 --to--> 2Fe + 3H2O
1,5a------------------>3a
=> 64a + 168a + 102b = 156
=> 232a + 102b = 156
=> a = 0,5; b = \(\dfrac{20}{51}\)
=> \(\left\{{}\begin{matrix}\%m_{CuO}=\dfrac{0,5.80}{200}.100\%=20\%\\\%m_{Fe_2O_3}=\dfrac{0,75.160}{200}.100\%=60\%\\\%m_{Al_2O_3}=\dfrac{\dfrac{20}{51}.102}{200}.100\%=20\%\end{matrix}\right.\)
c) \(n_{H_2}=\dfrac{2,75}{5}=0,55\left(mol\right)\)
\(n_{FeO\left(tt\right)}=\dfrac{36}{72}=0,5\left(mol\right)\)
Gọi số mol FeO phản ứng là t (mol)
PTHH: FeO + H2 --to--> Fe + H2O
t--------------->t
=> 56t + (0,5-t).72 = 29,6
=> t = 0,4 (mol)
=> \(H\%=\dfrac{0,4}{0,5}.100\%=80\%\)
- 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)
\(m_{Fe}=\dfrac{1}{3}.56=\dfrac{56}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(pứ\right)}=\dfrac{1}{6}.160=\dfrac{80}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(dư\right)}=60-m_{Fe}=60-\dfrac{56}{3}=\dfrac{124}{3}\left(g\right)\)
\(a=\dfrac{124}{3}+\dfrac{80}{3}=68\left(g\right)\)
Bài 1:
a) PTHH: \(Fe_2O_3+3H_2\xrightarrow[]{t^o}2Fe+2H_2O\)
\(CuO+H_2\xrightarrow[]{t^o}Cu+H_2O\)
b) Ta có: \(\left\{{}\begin{matrix}m_{Fe_2O_3}=20\cdot80\%=16\left(g\right)\\m_{CuO}=20-16=4\left(g\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{16}{160}=0,1\left(mol\right)\\n_{CuO}=\dfrac{4}{80}=0,05\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{H_2}=3n_{Fe_2O_3}+n_{CuO}=0,35\left(mol\right)\) \(\Rightarrow V_{H_2}=0,35\cdot22,4=7,84\left(l\right)\)
c) Theo các PTHH: \(\left\{{}\begin{matrix}n_{Fe}=2n_{Fe_2O_3}=0,2\left(mol\right)\\n_{Cu}=n_{CuO}=0,05\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{hhB}=m_{Fe}+m_{Cu}=0,2\cdot56+0,05\cdot64=14,4\left(g\right)\)
Bài 2:
PTHH: \(Fe_2O_3+3H_2\xrightarrow[]{t^o}2Fe+3H_2O\)
\(CuO+H_2\xrightarrow[]{t^o}Cu+H_2O\)
a) Vì khối lượng Cu bằng \(\dfrac{6}{5}\) khối lượng Fe
\(\Rightarrow\left\{{}\begin{matrix}m_{Cu}=\dfrac{26,4}{6+5}\cdot6=14,4\left(g\right)\\m_{Fe}=26,4-14,4=12\left(g\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}n_{Cu}=\dfrac{14,4}{64}=0,225\left(mol\right)\\n_{Fe}=\dfrac{12}{56}=\dfrac{3}{14}\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{H_2}=\dfrac{3}{2}n_{Fe}+n_{Cu}=\dfrac{9}{28}+0,225=\dfrac{153}{280}\left(mol\right)\) \(\Rightarrow V_{H_2}=\dfrac{153}{280}\cdot22,4=12,24\left(l\right)\)
b) Theo các PTHH: \(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=\dfrac{3}{28}\left(mol\right)\\n_{CuO}=n_{Cu}=0,225\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Fe_2O_3}=\dfrac{3}{28}\cdot160\approx17,14\left(g\right)\\m_{CuO}=0,225\cdot80=18\left(g\right)\end{matrix}\right.\) \(\Rightarrow m_{hh}=35,14\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe_2O_3}=\dfrac{17,14}{35,14}\cdot100\%\approx48,78\%\\\%m_{CuO}=51,22\%\end{matrix}\right.\)
CuO+H2->Cu+H2O(1)
Fe2O3+3H2->2Fe+3H2O(2)
Fe3O4+4H2->3Fe+4H2O(3)
nH2O=0.8(mol)
Theo pthh(1)(2)(3) nH2O=nH2
->nH2 cần dùng=0.8(mol)
->V=0.8*22.4=17.92(l)
mH2=0.8*2=1.6(g)
Theo đlbtkl:mOxit+mH2=m nước+m kim loại
<->47.2+1.6=14.4+m kim loại
->m kim loại=47.2+1.6-14.4=34.4(g)
Bài 11:
\(a,n_{Fe_2O_3}=\dfrac{1,6}{160}=0,01\left(mol\right)\\ n_{Cu}=\dfrac{4}{80}=0,05\left(mol\right)\\ PTHH:\\ Fe_2O_3+3H_2\underrightarrow{t^o}2Fe+3H_2O\)
0,01 -----> 0,03 ---> 0,02
\(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
0,05 ---> 0,05 -> 0,05
\(b,m_{Fe}=0,02.56=1,12\left(g\right)\\ m_{Cu}=0,05.64=3,2\left(g\right)\\ V_{H_2}=\left(0,03+0,05\right).22,4=1,792\left(l\right)\)
Bài 12:
\(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\\ n_{O\left(trong.oxit\right)}=n_{H_2}=0,15\left(mol\right)\\ n_{Fe\left(trong.oxit\right)}=\dfrac{8-0,15,16}{56}=0,1\left(mol\right)\\ CTHH:Fe_xO_y\\ \Rightarrow x:y=0,1:0,15=2:3\\ CTHH:Fe_2O_3\)
3,2 g chất rắn ko tan là Cu
nCu=0,05(mol)
=>nCuO=80.0,05=4(g)
%mCuO=\(\dfrac{4}{20}.100\%=20\%\)
%mFe2O3=100-20=80%
Ca(OH)2 + CO2 -> CaCO3 + H2O (1)
=>mFe2O3=20-4=16(g)\(\Leftrightarrow\)0,1(mol)
=>nO=3nFe2O3=0,3(mol)
nO=nCuO=0,05(mol)
nCO2=nO=0,35(mol)
Từ 1:
nCaCO3=nCO2=0,35(Mol)
mCaCO3 trên thực tế=35(g)
mCaCO3 thu dc=35.80%=28(g)


mFe2O3=10.80%=8(g)
=>nFe2O3=8/160=0,05(mol)
mCuO=10-8=2(g)
=>nCuO=2/80=0,025(mol)
pt: Fe2O3+3H2--->2Fe+3H2O
0,05______________0,1
CuO+H2--->Cu+H2O
0,025_______0,025
mFe=0,1.56=5,6(g)
mCu=0,025.64=1,6(g)