Dùng khí H2 để khử hoàn toàn hỗn hợp gồm PbO và CuO thu được 2,07 gam Pb và 1,6 gam Cu. Hãy tính:
a. Khối lượng hỗn hợp oxit ban đầu.
b. Tổng thể tích H2 đã dùng (đktc)
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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
\(CuO+CO\rightarrow Cu+CO_2\)
..x..........x.........................
\(PbO+CO\rightarrow Pb+CO_2\)
..y........y........................
- Theo bài ra ta có hệ : \(\left\{{}\begin{matrix}80x+223y=3,83\\x+y=0,03\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,02\\y=0,01\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{CuO}=1,6\\m_{PbO}=2,23\end{matrix}\right.\) ( g )
b, \(n_K=n_{CO_2}=x+y=0,03\left(mol\right)\)
\(\Rightarrow V=0,672\left(l\right)\)
c, \(Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3+H_2O\)
........................0,03........0,03.............
\(\Rightarrow m_{kt}=3\left(g\right)\)
Đặt \(\left\{{}\begin{matrix}n_{CuO}=x\left(mol\right)\\n_{PbO}=y\left(mol\right)\end{matrix}\right.\)
\(m_{CuO}+m_{PbO}=3,83\\ \Rightarrow80x+223y=3,83\left(1\right)\)
\(PTHH:CuO+CO\underrightarrow{t^o}Cu+CO_2\uparrow\\ \left(mol\right)......x\rightarrow..x....x.....x\\ PTHH:PbO+CO\underrightarrow{t^o}Pb+CO_2\uparrow\\ \left(mol\right)......y\rightarrow..y....y.....y\\ n_{CO}=\dfrac{0,84}{28}=0,03\\ \Rightarrow x+y=0,03\left(2\right)\)
Từ (1) và (2) ta có hpt \(\left\{{}\begin{matrix}80x+223y=3,83\\x+y=0,03\end{matrix}\right.\)
Giải hpt ta được \(\left\{{}\begin{matrix}x=0,02\\y=0,01\end{matrix}\right.\)
\(a,\left\{{}\begin{matrix}m_{CuO}=80.0,02=1,6\left(g\right)\\m_{PbO}=3,83-1,6=2,23\left(g\right)\end{matrix}\right.\)
\(b,V_{CO_2}=\left(x+y\right).22,4=\left(0,02+0,01\right).22,4=0,672\left(l\right)\)
\(c,n_{CO_2}=x+y=0,02+0,01=0,03\left(mol\right)\\ PTHH:Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3\downarrow+H_2O\\ \left(mol\right)................0,03\rightarrow0,03\\ m_{CaCO_3}=0,03.100=3\left(g\right)\)
a, -Gọi số mol của CuO và Fe2O3 lần lượt là x, y ( mol )
PTKL : \(80x+160y=40\left(I\right)\)
\(CuO+H_2\rightarrow Cu+H_2O\)
..x.........x............
\(Fe_2O_3+3H_2\rightarrow2Fe+3H_2O\)
...y............3y......
=> \(n_{H_2}=x+3y=\dfrac{V}{22,4}=0,6\left(mol\right)\left(II\right)\)
- Giair I và II ta được : x = 0,3 , y = 0,1 ( mol )
=> \(\left\{{}\begin{matrix}mCuO=n.M=24\left(g\right)\\mFe2O3=mhh-mCuO=16\left(g\right)\end{matrix}\right.\)
b, \(\%CuO=\dfrac{m}{mhh}.100\%=60\%\)
=> %Fe2O3 =100% - %CuO = 40% .
Vậy ...
a. PTHH: CuO + H2 ---to---> Cu + H2O (1)
Fe2O3 + 3H2 ---to---> 2Fe + 3H2O (2)
Ta có: \(m_{hh}=62,4\left(g\right)\)
=> \(m_{Fe}=62,4-12,8=49,6\left(g\right)\)
b. Theo PT(1): \(n_{H_2}=n_{Cu}=\dfrac{12,8}{64}=0,2\left(mol\right)\)
Theo PT(2):\(n_{H_2}=3.n_{Fe}=3.\dfrac{49,6}{56}\approx2,7\left(mol\right)\)
=> \(n_{H_{2_{\left(2PT\right)}}}=0,2+2,7=2,9\left(mol\right)\)
=> \(V_{H_2}=2,9.22,4=64,96\left(lít\right)\)
a.\(n_{H_2}=\dfrac{6,72}{22,4}=0,3mol\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
0,3 0,3 ( mol )
\(m_{Fe}=0,3.56=16,8g\)
\(\%m_{Fe}=\dfrac{16,8}{20}.100=84\%\)
\(\%m_{Cu}=100\%-84\%=16\%\)
b.\(m_{Cu}=20-16,8=3,2g\)
\(n_{Cu}=\dfrac{3,2}{64}=0,05mol\)
\(CuO+H_2\rightarrow\left(t^o\right)Cu+H_2O\)
0,05 0,05 ( mol )
\(m_{CuO}=0,05.80=4g\)
\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ PTHH:Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\\ Theo.pt:n_{Fe}=n_{H_2}=0,3\left(mol\right)\\ m_{Fe}=0,3.56=16,8\left(g\right)\\ m_{Cu}=20-16,8=3,2\left(g\right)\\ n_{Cu}=\dfrac{3,2}{64}=0,06\left(mol\right)\\ PTHH:CuO+H_2\underrightarrow{t^o}Cu+H_2O\\ Mol:0,05\leftarrow0,05\leftarrow0,05\\ m_{CuO}=0,05.80=4\left(g\right)\)
Chọn C
m o x i t = m K L + m o x i → m o x i = m o x i t – m K L = 24 – 17 , 6 = 6 , 4 g a m .
\(n_{H_2}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\)
PTHH: CuO + H2 → Cu + H2O
Mol: x x x
PTHH: Fe2O3 + 3H2 → 2Fe + 3H2O
Mol: y 3y 2y
Ta có hpt:\(\left\{{}\begin{matrix}80x+160y=14\\x+3y=0,225\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,075\left(mol\right)\\y=0,05\left(mol\right)\end{matrix}\right.\)
\(m_{hh.kim.loại}=m_{Cu}+m_{Fe}=0,075.64+2.0,05.56=10,4\left(g\right)\)
\(n_{H_2}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\)
PTHH:
\(CuO+H_2\underrightarrow{t^o}Cu+H_2O\\ Fe_2O_3+3H_2\underrightarrow{t^o}2Fe+3H_2O\)
Theo 2 pthh trên: \(n_{H_2O}=n_{H_2}=0,225\left(mol\right)\)
\(\rightarrow m_{H_2O}=0,225.18=4,05\left(g\right)\\ \rightarrow m_{H_2}=0,225.2=0,45\left(g\right)\)
Áp dụng ĐLBTKL, ta có:
\(m_{oxit\left(CuO,Fe_2O_3\right)}+m_{H_2}=m_{\text{kim loại}\left(Cu,Fe\right)}+m_{H_2O}\\ \rightarrow m_{\text{kim loại}\left(Cu,Fe\right)}=14+0,45-4,05=10,4\left(g\right)\)
a)
Gọi số mol CuO, Fe2O3 là a, b (mol)
=> 80a + 160b = 40 (1)
\(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)
PTHH: CuO + H2 --to--> Cu + H2O
a--->a--------->a
Fe2O3 + 3H2 --to--> 2Fe + 3H2O
b----->3b---------->2b
=> a + 3b = 0,6 (2)
(1)(2) => a = 0,3 (mol);b = 0,1 (mol)
\(\left\{{}\begin{matrix}\%m_{CuO}=\dfrac{0,3.80}{40}.100\%=60\%\\\%m_{Fe_2O_3}=\dfrac{0,1.160}{40}.100\%=40\%\end{matrix}\right.\)
b) nFe = 2b = 0,2 (mol)
PTHH: Fe + 2HCl --> FeCl2 + H2
0,2------------------->0,2
=> VH2 = 0,2.22,4 = 4,48 (l)
\(n_{Pb}=\dfrac{2,07}{207}=0,01mol\)
\(n_{Cu}=\dfrac{1,6}{64}=0,025mol\)
\(PbO+H_2\rightarrow\left(t^o\right)Pb+H_2O\)
0,01 0,01 0,01 ( mol )
\(CuO+H_2\rightarrow\left(t^o\right)Cu+H_2O\)
0,025 0,025 0,025 ( mol )
\(m_{hh}=m_{PbO}+m_{CuO}=\left(0,01.223\right)+\left(0,025.80\right)=4,23g\)
\(V_{H_2}=\left(0,01+0,025\right).22,4=0,784l\)
\(n_{Pb}=\dfrac{2,07}{207}=0,01\left(mol\right)\\ n_{Cu}=\dfrac{1,6}{64}=0,025\left(mol\right)\\ PTHH:PbO+H_2\underrightarrow{t^o}Pb+H_2O\\ Mol:0,01\leftarrow0,01\leftarrow0,01\\ CuO+H_2\underrightarrow{t^o}Cu+H_2O\\ Mol:0,025\leftarrow0,025\leftarrow0,025\)
\(\Rightarrow\left\{{}\begin{matrix}m_{CuO}=0,025.80=2\left(g\right)\\m_{PbO}=0,01.223=2,23\left(g\right)\end{matrix}\right.\Rightarrow m_{oxit}=2+2,23=4,23\left(g\right)\\ V_{H_2}=\left(0,01+0,025\right).22,4=0,784\left(l\right)\)