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\(M_{hh}=22,4.2=44,8\left(g/mol\right);n_{hh}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ \Rightarrow m_{hh}=0,25.44,8=11,2\left(g\right)\)
Đặt \(n_{O_2\left(th\text{ê}m\right)}=a\left(mol\right)\left(a>0\right)\)
\(M_{hh\left(m\text{ới}\right)}=20.2=40\left(g/mol\right)\)
Ta có: \(\left\{{}\begin{matrix}m_{hh\left(m\text{ới}\right)}=11,2+32a\left(g\right)\\n_{hh\left(m\text{ới}\right)}=0,25+a\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow M_{hh\left(m\text{ới}\right)}=\dfrac{11,2+32a}{0,25+a}=40\Leftrightarrow a=0,15\left(mol\right)\left(TM\right)\)
\(\Rightarrow V_{O_2}=0,15.22,4=3,36\left(l\right)\)
\(n_{CO}=\dfrac{6.72}{22.4}=0.3\left(mol\right)\)
\(Fe_2O_3+3CO\underrightarrow{^{^{t^0}}}2Fe+3CO_2\)
\(n_{CO\left(dư\right)}=x\left(mol\right),n_{CO_2}=y\left(mol\right)\)
\(\Rightarrow x+y=0.3\left(1\right)\)
\(\overline{M}=18\cdot2=36\left(\dfrac{g}{mol}\right)\)
\(\Rightarrow28x+44y=36\cdot0.3=10.8\left(2\right)\)
\(\left(1\right),\left(2\right):x=y=0.15\)
\(m_{Fe_2O_3}=\dfrac{0.15}{3}\cdot160=8\left(g\right)\)
\(n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right);n_{Fe}=\dfrac{16,8}{56}=0,3\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ n_{H_2\left(tổng\right)}=\dfrac{3}{2}.n_{Al}+n_{Fe}=\dfrac{3}{2}.0,2+0,3=0,6\left(mol\right)\\ a,V=V_{H_2\left(đktc\right)}=0,6.22,4=13,44\left(l\right)\\ b,n_{HCl}=\dfrac{6}{2}.n_{Al}+2.n_{Fe}=\dfrac{6}{2}.0,2+2.0,3=1,2\left(mol\right)\\ \Rightarrow m_{HCl}=1,2.36,5=43,8\left(g\right)\\ c,n_{O_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ 2H_2+O_2\rightarrow\left(t^o\right)2H_2O\\ Vì:\dfrac{0,6}{2}>\dfrac{0,25}{1}\Rightarrow H_2dư,O_2hết\\ n_{H_2O}=2.n_{O_2}=2.0,25=0,5\left(mol\right)\\ \Rightarrow m_{H_2O}=0,5.18=9\left(g\right)\)
\(M_X=2,5.16=40\)(g/mol)
\(\rightarrow\dfrac{V_{CO_2}}{V_{O_2}}=\dfrac{n_{CO_2}}{n_{O_2}}=\dfrac{40-32}{44-40}=2\)
Mà \(V_{CO_2}+V_{O_2}=30\left(L\right)\)
\(\rightarrow V_{CO_2}=20\left(L\right);V_{O_2}=10\left(L\right)\)
\(\rightarrow M_Y=\dfrac{20.44+10.32+32V}{V+20+10}=2,25.16=36\)
\(\rightarrow V=30\left(L\right)\)
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