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Chọn A
=> khối lượng F e 3 O 4 có trong quặng là 0,552 (tấn)
Vậy m F e = ( 0 , 522 . 3 . 56 ) : 232 = 0 , 378 t ấ n .
\(0,58\left(tấn\right)=580000\left(g\right)\\ \Rightarrow m_{Fe_3O_4}=580000\cdot80\%=464000\left(g\right)\\ \Rightarrow n_{Fe_3O_4}=\dfrac{464000}{232}=2000\left(mol\right)\\ PTHH:Fe_3O_4+4H_2\rightarrow3Fe+4H_2O\\ \Rightarrow n_{Fe}=3n_{Fe_3O_4}=8000\left(mol\right)\\ \Rightarrow m_{Fe}=8000\cdot56=336000\left(g\right)=0,336\left(tấn\right)\)
\(CuO+CO\rightarrow Cu+CO_2\)
..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 \(\left\{{}\begin{matrix}x=0,02\\y=0,01\end{matrix}\right.\)
\(a,\left\{{}\begin{matrix}m_{CuO}=80.0,02=1,6\left(g\right)\\m_{PbO}=3,83-1,6=2,23\left(g\right)\end{matrix}\right.\)
\(b,V_{CO_2}=\left(x+y\right).22,4=\left(0,02+0,01\right).22,4=0,672\left(l\right)\)
\(c,n_{CO_2}=x+y=0,02+0,01=0,03\left(mol\right)\\ PTHH:Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3\downarrow+H_2O\\ \left(mol\right)................0,03\rightarrow0,03\\ m_{CaCO_3}=0,03.100=3\left(g\right)\)
Gọi $n_{CuO} = a; n_{PbO} = b$
Ta có :
$80a + 223b = 15,15(1)$
$CuO + CO \xrightarrow{t^o} Cu + CO_2$
$PbO + CO \xrightarrow{t^o} Pb + CO_2$
$CO_2 + Ca(OH)_2 \to CaCO_3 + H_2O$
Theo PTHH :
$n_{CO_2} = a + b = \dfrac{10}{100} = 0,1(2)$
Từ (1)(2) suy ra a = b = 0,05
Vậy :
$m_{CuO} = 0,05.80 = 4(gam)$
$m_{PbO} = 0,05.223 = 11,15(gam)$
\(n_{CuO}=a\left(mol\right),n_{Fe_2O_3}=b\left(mol\right)\)
\(m=80a+160b=6\left(g\right)\left(1\right)\)
\(n_{H_2}=\dfrac{2.24}{22.4}=0.1\left(mol\right)\)
\(CuO+H_2\underrightarrow{^{^{t^0}}}Cu+H_2O\)
\(Fe_2O_3+3H_2\underrightarrow{^{^{t^0}}}2Fe+3H_2O\)
\(n_{H_2}=a+3b=0.1\left(mol\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.025,b=0.025\)
\(m_{kl}=0.025\cdot64+0.025\cdot2\cdot56=4.4\left(g\right)\)
\(b.\)
\(m_{hh}=3m_{Fe_2O_3}=6\left(g\right)\)
\(\Rightarrow n_{Fe_2O_3}=\dfrac{2}{160}=0.0125\left(mol\right)\)
\(\Rightarrow n_{CuO}=0.0125\left(mol\right)\)
\(m_{kl}=0.0125\cdot2\cdot56+0.0125\cdot64=2.2\left(g\right)\)
\(CuO+H_2\underrightarrow{^{to}}Cu+H_2O\)
\(PbO+H_2\underrightarrow{^{to}}Pb+H_2O\)
\(n_{CuO}=\frac{20}{80}=0,25\left(mol\right)\)
\(\Rightarrow n_{H2}=n_{CuO}=0,25\left(mol\right)\)
\(n_{PbO}=\frac{111,5}{223}=0,5\left(mol\right)\Rightarrow n_{H2}=0,5\left(mol\right)\)
\(\Rightarrow\Sigma n_{H2}=0,25+0,5=0,75\left(mol\right)\)
\(\Rightarrow V_{H2}=0,75.22,4=16,8\left(l\right)\)
1 Fe3O4+4H2→3Fe+4H2O
khối lượng Fe3O4
m=0,58*90%=0,522(tấn)=522000g
số mol Fe3O4 ; n=\(\frac{522000}{232}\) =2250 (mol)
nfe=3nFe3O4=3*2250=6750(mol)
mfe=6750*56=378000(g) =0,378 tấn sắt
2) nCuO=\(\frac{20}{80}\) =0,25 mol
nPbO=\(\frac{111.5}{223}\) =0,5mol
CuO+H2→Cu+H2O
0,25-->0,25
PbO+H2→Pb+H2O
0,5------>0,5
VH2=0,25*22,4+0,5*22,4
=16,8l
PTHH : \(Fe3O4+4H2\rightarrow3Fe+4H2O\)
=>mFe3O4 =0,58.90% = 0,522 tấn
=> mFe = 0,378 tấn