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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)
=> \(H\%=\dfrac{0,4}{0,5}.100\%=80\%\)
Đáp án:
8,96 l
Giải thích các bước giải:
a)
Fe2O3+3H2->2Fe+3H2O
CuO+H2->Cu+H2O
gọi a là số mol Fe2O3 b là số mol CuO
Ta có
160a=2x80b=>a=b
ta có
112a+64b=17,6
a=b
=>a=0,1 b=0,1
nH2=0,1x3+0,1=0,4(mol)
VH2=0,4x22,4=8,96 l
\(m_{Fe_2O_3}=80\%.50=40\left(g\right)\Rightarrow n_{Fe_2O_3}=0,25\left(mol\right)\\ m_{CuO}=50-40=10\left(g\right)\Rightarrow n_{CuO}=0,125\left(mol\right)\\Fe_2O_3+3H_2-^{t^o}\rightarrow 2Fe+3H_2O\\ CuO+H_2-^{t^o}\rightarrow Cu+H_2O\\ \Sigma n_{H_2}=0,25.3+0,125=0,875\left(mol\right)\\ \Rightarrow V_{H_2}=0,875.22,4=19,6\left(l\right)\)
a)
\(m_{CuO}=\dfrac{32.40}{100}=12,8\left(g\right)\) => \(n_{CuO}=\dfrac{12,8}{80}=0,16\left(mol\right)\)
\(n_{Fe_2O_3}=\dfrac{32-12,8}{160}=0,12\left(mol\right)\)
PTHH: CuO + H2 --to--> Cu + H2O
0,16->0,16---->0,16
Fe2O3 + 3H2 --to--> 2Fe + 3H2O
0,12-->0,36----->0,24
=> \(V_{H_2}=\left(0,16+0,36\right).22,4=11,648\left(l\right)\)
b)
mCu = 0,16.64 =10,24 (g)
mFe = 0,24.56 = 13,44 (g)
c)
\(n_{HCl}=\dfrac{18,25}{36,5}=0,5\left(mol\right)\)
PTHH: Fe + 2HCl --> FeCl2 + H2
Xét tỉ lệ: \(\dfrac{0,24}{1}< \dfrac{0,5}{2}\) => HCl dư, Fe hết
PTHH: Fe + 2HCl --> FeCl2 + H2
0,24------------------->0,24
=> \(V_{H_2}=0,24.22,4=5,376\left(l\right)\)
\(n_{CuO}=2a\left(mol\right)\Rightarrow n_{Fe_2O_3}=a\left(mol\right)\)
\(m_X=80\cdot2a+160a=80\left(g\right)\)
\(\Rightarrow a=0.25\left(mol\right)\)
\(CuO+H_2\underrightarrow{^{^{t^0}}}Cu+H_2O\)
\(Fe_2O_3+3H_2\underrightarrow{^{^{t^0}}}2Fe+3H_2O\)
\(n_{H_2}=0.5+0.25\cdot3=1.25\left(mol\right)\)
\(V_{H_2}=1.25\cdot22.4=28\left(l\right)\)
\(m_{cr}=0.5\cdot64+0.5\cdot56=60\left(g\right)\)
- 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)
\(m_{Fe}=\dfrac{1}{3}.56=\dfrac{56}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(pứ\right)}=\dfrac{1}{6}.160=\dfrac{80}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(dư\right)}=60-m_{Fe}=60-\dfrac{56}{3}=\dfrac{124}{3}\left(g\right)\)
\(a=\dfrac{124}{3}+\dfrac{80}{3}=68\left(g\right)\)
a.b.
\(\left\{{}\begin{matrix}n_{Fe_2O_3}=40.80\%=32g\\m_{CuO}=40-32=8g\end{matrix}\right.\)
\(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{32}{160}=0,2mol\\n_{CuO}=\dfrac{8}{80}=0,1mol\end{matrix}\right.\)
\(CuO+H_2\rightarrow\left(t^o\right)Cu+H_2O\)
0,1 0,1 0,1 ( mol )
\(Fe_2O_3+3H_2\rightarrow\left(t^o\right)2Fe+3H_2O\)
0,2 0,6 0,4 ( mol )
\(V_{H_2}=\left(0,1+0,6\right).22,4=15,68l\)
\(\left\{{}\begin{matrix}m_{Cu}=0,1.64=6,4g\\m_{Fe}=0,4.56=22,4g\end{matrix}\right.\)
\(\rightarrow\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{6,4}{6,4+22,4}.100=22,22\%\\\%m_{Fe}=100\%-22,22\%=77,78\%\end{matrix}\right.\)
c.
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\) ( Cu không phản ứng với H2SO4 loãng )
0,4 0,4 ( mol )
\(V_{H_2}=0,4.22,4=8,96l\)
a) \(m_{CuO}=\dfrac{20.40}{100}=8\left(g\right)\) => \(n_{CuO}=\dfrac{8}{80}=0,1\left(mol\right)\)
\(m_{Fe_2O_3}=20-8=12\left(g\right)\) => \(n_{Fe_2O_3}=\dfrac{12}{160}=0,075\left(mol\right)\)
PTHH: CuO + H2 --to--> Cu + H2O
0,1--->0,1------>0,1
Fe2O3 + 3H2 --to--> 2Fe + 3H2O
0,075--->0,225----->0,15
=> mCu = 0,1.64 = 6,4 (g)
=> mFe = 0,15.56 = 8,4 (g)
b) \(V_{H_2}=\left(0,1+0,225\right).22,4=7,28\left(l\right)\)
PTHH:CuO+COto→Cu+CO2(1)(1)
PbO+COto→Pb+CO2(2)
Theo(1) nCuO=nCu=1,664=0,025(mol)
mCuO=0,025.80=2g
Theo(2) nPbO=nPb=\(\dfrac{2,07}{207}\)=0,01mol
mPbO=0,01.223=2,23g
b) Theo(1) và (2): ΣnCO=nCu+nPb=0,025+0,01=0,035mol
ΣVCO=0,035.22,4=0,784lit
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: \(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=\dfrac{3}{28}\left(mol\right)\\n_{CuO}=n_{Cu}=0,225\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Fe_2O_3}=\dfrac{3}{28}\cdot160\approx17,14\left(g\right)\\m_{CuO}=0,225\cdot80=18\left(g\right)\end{matrix}\right.\) \(\Rightarrow m_{hh}=35,14\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe_2O_3}=\dfrac{17,14}{35,14}\cdot100\%\approx48,78\%\\\%m_{CuO}=51,22\%\end{matrix}\right.\)