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\(a.\)
\(GS:\)
\(n_{hh}=1\left(mol\right)\)
\(Đặt:n_{N_2}=a\left(mol\right),n_{CO_2}=b\left(mol\right)\)
\(\Rightarrow a+b=1\left(1\right)\)
\(m_A=28a+44b=18\cdot2=36\left(2\right)\)
\(\left(1\right),\left(2\right):\)
\(a=b=0.5\)
\(\%m_{N_2}=\dfrac{0.5\cdot28}{0.5\cdot28+0.5\cdot44}\cdot100\%=38.89\%\)
\(\%m_{CO_2}=61.11\%\)
\(b.\)
\(\dfrac{n_{N_2}}{n_{CO_2}}=\dfrac{0.5}{0.5}=\dfrac{1}{1}\)
\(n_{N_2}=n_{CO_2}=\dfrac{1}{2}\cdot n_A=\dfrac{0.2}{2}=0.1\left(mol\right)\)
\(Đặt:n_{CO_2}=x\left(mol\right)\)
\(\overline{M}=\dfrac{0.1\cdot28+0.1\cdot44+44x}{0.2+x}=20\cdot2=40\left(\dfrac{g}{mol}\right)\)
\(\Rightarrow x=0.2\)
\(m_{CO_2\left(cầnthêm\right)}=0.2\cdot44=8.8\left(g\right)\)
$d_{H_2S/N_2} = \dfrac{34}{28} = 1,2$
$d_{O_2/N_2} = \dfrac{32}{28} = 1,14$
$d_{H_2/N_2} = \dfrac{2}{28}= 0,07$
$d_{CO_2/N_2} = \dfrac{44}{28} = 1,57$
\(d_{H2S/N2}=\dfrac{M_{H2S}}{M_{N2}}=~2,43\)
\(d_{O2/N2}=\dfrac{M_{O2}}{M_{N2}}=~1;14\)
\(d_{H2/N2}=\dfrac{M_{H2}}{M_{N2}}=~0,07\)
\(d_{CO2/N2}=\dfrac{M_{CO2}}{M_{N2}}=~1,57\)
Ta có: \(n_{O_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
\(n_{N_2}=\dfrac{x}{22,4}\left(mol\right)\)
Ta có: \(\overline{M_{hh}}=\dfrac{32.0,4+\dfrac{x}{22,4}.28}{0,4+\dfrac{x}{22,4}}\left(g\right)\)
=> \(\dfrac{\dfrac{32.0,4+\dfrac{x}{22,4}.28}{0,4+\dfrac{x}{22,4}}}{2}=15\left(lần\right)\)
=> \(x=8,96\left(lít\right)\)
a) Gọi nO2 =a (mol); nO3 = b(mol)
Có: \(\dfrac{32a+48b}{a+b}=20.2=40\)
=> 32a + 48b = 40a + 40b
=> 8a = 8b => a = b
=> \(\left\{{}\begin{matrix}\%V_{O_2}=\dfrac{a}{a+b}.100\%=\dfrac{a}{a+a}.100\%=50\%\\\%V_{O_3}=100\%-50\%=50\%\end{matrix}\right.\)
b) Gọi nN2 =a (mol); nNO = b(mol)
Có: \(\dfrac{28a+30b}{a+b}=14,75.2=29,5\)
=> 28a + 30b = 29,5a + 29,5b
=> 1,5a = 0,5b
=> 3a = b
=> \(\left\{{}\begin{matrix}\%V_{N_2}=\dfrac{a}{a+b}.100\%=\dfrac{a}{a+3a}.100\%=25\%\\\%V_{NO}=100\%-25\%=75\%\end{matrix}\right.\)
a) \(M_X=19.2=38\left(g/mol\right)\)
`=>` \(d_{X/kk}=\dfrac{38}{29}=1,310345\)
b) \(m_X=0,4.38=15,2\left(g\right)\)
Gọi \(\left\{{}\begin{matrix}n_{O_2}=x\left(mol\right)\\n_{CO_2}=y\left(mol\right)\end{matrix}\right.\)
`=>` \(\left\{{}\begin{matrix}32x+44y=15,2\\x+y=0,4\end{matrix}\right.\Leftrightarrow x=y=0,2\)
\(m_Y=0,1.28+15,2=18\left(g\right)\)
`=>` \(\left\{{}\begin{matrix}\%m_{N_2}=\dfrac{0,1.28}{18}.100\%=15,56\%\\\%m_{O_2}=\dfrac{0,2.32}{18}.100\%=35,56\%\\\%m_{CO_2}=100\%-15,56\%-35,56\%=48,88\%\end{matrix}\right.\)
b) \(M_{hh}=4.10=40\left(g/mol\right)\)
Gọi \(n_{NO_2}=a\left(mol\right)\)
`=>` \(\left\{{}\begin{matrix}m_{hh}=18+46a\left(g\right)\\n_{hh}=0,5+0,1+a=0,6+a\left(mol\right)\end{matrix}\right.\)
`=>` \(M_{hh}=\dfrac{m_{hh}}{n_{hh}}=\dfrac{18+46a}{0,6+a}=40\)
`=> a = 1`
`=> V_{NO_2(đktc)} = 1.22,4 = 22,4 (l)`
\(I,M_{hh}=M_{O_2}.0,3125=32.0,3125=10\left(\dfrac{g}{mol}\right)\\ Đặt:n_{N_2}=a\left(\%\right)\\ \Rightarrow\dfrac{28a+2\left(100\%-a\right)}{100\%}=10\\ \Leftrightarrow a\approx30,769\%=\%n_{N_2}=\%V_{N_2}\\ \Rightarrow\%V_{H_2}\approx69,231\%\\ II,Đặt:n_{N_2\left(thêm\right)}=k\left(mol\right)\\ n_{hh}=\dfrac{29,12}{22,4}=1,3\left(mol\right)\\ M_{hh.khí.mới}=M_{O_2}.0,46875=32.0,46875=15\left(\dfrac{g}{mol}\right)\\ \Leftrightarrow\dfrac{\left(k+0,13.0,30769\right).28+2.0,69231}{k+0,13}=15\\ \Leftrightarrow k=\left(ra.âm\right)\)
Nói chung làm được ý 1, anh thấy ý 2 ra âm. Em xem lại đề nha
Bài 1.
Gọi \(\left\{{}\begin{matrix}n_{N_2}=x\left(mol\right)\\n_{H_2}=y\left(mol\right)\end{matrix}\right.\)
\(\dfrac{d_{N_2,H_2}}{M_{O_2}}=0,3125\Rightarrow d_{N_2,H_2}=0,3125\cdot32=10\)
Sơ đồ chéo:
\(N_2\) 28 8
\(10\)
\(H_2\) 2 18
\(\Rightarrow\dfrac{N_2}{H_2}=\dfrac{x}{y}=\dfrac{8}{18}=\dfrac{4}{9}\)\(\Rightarrow9x-4y=0\left(1\right)\)
Mà \(x+y=\dfrac{29,12}{22,4}=1,3\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,4\\y=0,9\end{matrix}\right.\)
\(\%V_{N_2}=\dfrac{0,4}{0,4+0,9}\cdot100\%=30,77\%\)
\(\%V_{H_2}=100\%-30,77\%=69,23\%\)
\(d_{N_2/H_2}=\dfrac{2.14}{2.1}=14\)
dN\(_2\)/H\(_2\)=28:4=14