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PTHH :
2Mg + O2 → 2MgO(t*)
4Al + 3O2 → 2Al2O3 (t*)
3Fe +2O2 → Fe3O4 (t*)
2Cu + O2 → 2CuO (t*)
theo ĐLBTKL :
m hỗn hợp kim loại + m oxi = m hỗn hợp oxit
m oxi = m hỗn hợp oxit - m hỗn hợp kim loại
58.8-39.3=19.2 g
nO2 = 19.2 / 32 = 0.6 mol
vây thể tích khí oxi cần dùng là Vo2 = 0.6 x 22,4 =13.44(L)
\(2Mg+O_2\rightarrow2MgO\)
a............5a..............a
\(4Al+3O_2\rightarrow2Al_2O_3\)
b.............\(\dfrac{3}{4}b\)...........0,5b
\(3Fe+2O_2\rightarrow Fe_3O_4\)
c.............\(\dfrac{2c}{3}\)............\(\dfrac{1}{3}c\)
\(2Cu+O_2\rightarrow2CuO\)
d.............0,5d...........d
Theo đề ta có:
\(\Rightarrow V_{O_2}=22,4\left(0,5a+\dfrac{3}{4}b+\dfrac{2}{3}c+0,5d\right)=22,4.0,6=13,44\left(l\right)\)
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\(4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ 3Fe + 2O_2 \xrightarrow{t^o} Fe_3O_4\\ Fe_3O_4 + 4H_2 \xrightarrow{t^o} 3Fe + 4H_2O\\ Ta\ có :\\ m_O = m_B - m_{hh} = 5,4 - 4,44 = 0,96(mol)\\ n_O = \dfrac{0,96}{32} = 0,03(mol)\\ \Rightarrow n_{Al_2O_3}= \dfrac{1}{3}n_O = 0,01(mol)\\ \Rightarrow n_{Al} = 2n_{Al_2O_3} = 0,02(mol)\\ m_{Al} = 0,02.54 = 1,08(gam)\\ m_{Fe} = 4,44 - 1,08 = 3,36(gam)\)
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- 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)
\(m_{Fe}=\dfrac{1}{3}.56=\dfrac{56}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(pứ\right)}=\dfrac{1}{6}.160=\dfrac{80}{3}\left(g\right)\)
\(m_{Fe_2O_3\left(dư\right)}=60-m_{Fe}=60-\dfrac{56}{3}=\dfrac{124}{3}\left(g\right)\)
\(a=\dfrac{124}{3}+\dfrac{80}{3}=68\left(g\right)\)
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a. PTHH: \(2Fe+O_2\rightarrow^{t^o}2FeO\)
\(4Fe+3O_2\rightarrow^{t^o}Fe_2O_3\)
\(3Fe+2O_2\rightarrow^{t^o}Fe_3o_4\)
b. Bảo toàn khối lượng \(m_{Fe}+m_{O_2}=m_{Oxit}\)
\(\rightarrow m_{O_2}=37,6-28=9,6g\)
\(\rightarrow n_{O_2}=\frac{9,6}{32}=0,3mol\)
\(\rightarrow V_{kk}=\frac{0,3.22,4}{20\%}=33,6\)
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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: \(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=\dfrac{3}{28}\left(mol\right)\\n_{CuO}=n_{Cu}=0,225\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Fe_2O_3}=\dfrac{3}{28}\cdot160\approx17,14\left(g\right)\\m_{CuO}=0,225\cdot80=18\left(g\right)\end{matrix}\right.\) \(\Rightarrow m_{hh}=35,14\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe_2O_3}=\dfrac{17,14}{35,14}\cdot100\%\approx48,78\%\\\%m_{CuO}=51,22\%\end{matrix}\right.\)
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T nghĩ cho cái đề vầy thì tính khối lượng mỗi kim loại thì khó hơn
Khối lượng oxi tham gia pứ:
ADĐLBTKL: \(m_{O_2}=m_{hh\left(r\right)}-m_A=58,5-39,3=19,2g\)\(n_{O_2}=\frac{19,2}{22,4}=0,6\left(mol\right)\)
\(V_{O_2}=0,6.22,4=13,44l\)
Pt: 2Mg + O2 --to--> 2MgO
.....4Al + 3O2 --to--> 2Al2O3
....3Fe + 2O2 --to--> Fe3O4
....2Cu + O2 --to--> 2CuO
Áp dụng ĐLBTKL, ta có:
mkim loại + mO2 pứ = mhh chất rắn
=> mO2 pứ = 58,5 - 39,3 = 19,2 (g)
=> nO2 pứ = \(\dfrac{19,2}{32}=0,6\) mol
=> VO2 pứ = 0,6 . 22,4 = 13,44 (lít)
Pt:
2Mg + O2 → 2MgO
4Al + 3O2 → 2Al2O3
3Fe +2O2 → Fe3O4
2Cu + O2 → 2CuO
theo ĐLBTKL :
m hỗn hợp kim loại + m oxi = m hỗn hợp oxit
m oxi = m hỗn hợp oxit - m hỗn hợp kim loại
58,5-39,3=19,2(g)
nO2 = 19,2 / 32 = 0,6 (mol)
=>VO2 = 0,6 . 22,4 =13,44(l)