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\(n_{hh}=\dfrac{11.2}{22.4}=0.5\left(mol\right)\)
\(n_{CH_4}=a\left(mol\right),n_{H_2}=b\left(mol\right)\)
\(\Rightarrow a+b=0.5\left(1\right)\)
\(n_{H_2O}=2a+b=\dfrac{12.6}{18}=0.7\left(mol\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.2,b=0.3\)
\(n_{CO_2}=n_{CH_4}=0.2\left(mol\right)\)
\(V=0.2\cdot22.4=4.48\left(l\right)\)
Bài 1 :
\(n_{H_2O}>n_{CO_2}\Rightarrow X:ankan\)
\(Đặt:CTHH:C_nH_{2n+2}\)
\(\dfrac{n}{2n+2}=\dfrac{0.1}{0.3}\Rightarrow n=2\)
\(Vậy:Xlà:C_2H_6\left(etan\right)\)
Bài 1
\(n_{CO_2} < n_{H_2O} \to\) X là ankan (CnH2n+2)
\(n_X = n_{H_2O} - n_{CO_2} = 0,15 - 0,1 = 0,05(mol)\)
Suy ra: \(n = \dfrac{n_{CO_2}}{n_X} = \dfrac{0,1}{0,05} = 2\)
Vậy X là C2H6(etan)
Bài 2 :
Hỗn hợp có dạng CnH2n+2
\(n_{hỗn\ hợp} = \dfrac{4,48}{22,4} = 0,2(mol)\\ n_{H_2O} = \dfrac{18}{18} = 1(mol)\\ \Rightarrow n + 2 = \dfrac{2n_{H_2O}}{n_{hh}} = 5\\ Suy\ ra\ n = 3\)
\(\Rightarrow n_{CO_2} = 3n_{hh} = 0,2.3 = 0,6(mol)\\ \Rightarrow V = 0,6.22,4 = 13,44(lít)\)
\(n_{O_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PT: \(S+O_2\underrightarrow{t^o}SO_2\)
Theo PT: \(n_{SO_2}=n_{O_2}=0,3\left(mol\right)\Rightarrow V_{SO_2}=0,3.22,4=6,72\left(l\right)\)
CH4 -> CO2
C2H6 -> 2 CO2
Gọi nCH4 = x mol, nC2H6 = y mol
x + y = 0,15 (1)
x + 2y = 0,2 (2)
Nên: x = 0,1 mol, y = 0,05 mol
Vậy: % VCH4 = 66,67 % => %VC2H6 = 33,33 %
\(n_{hh}=\dfrac{3,36}{22,4}=0,15mol\)
\(n_{CO_2}=\dfrac{4,48}{22,4}=0,2mol\)
\(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_2}=y\left(mol\right)\end{matrix}\right.\)
\(CH_4+2O_2\rightarrow CO_2+2H_2O\)
\(C_2H_2+\dfrac{5}{2}O_2\rightarrow2CO_2+H_2O\)
Từ hai pt trên:\(\Rightarrow\left\{{}\begin{matrix}x+y=0,15\\x+2y=0,2\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
\(\%V_{CH_4}=\dfrac{0,1}{0,1+0,05}\cdot100\%=66,67\%\)
\(\%V_{C_2H_2}=100\%-66,67\%=33,33\%\)
\(n_{CO_2}=\dfrac{V_{CO_2}}{22,4}=\dfrac{4,48}{22,4}=0,2mol\)
Gọi \(n_{CH_4}\) là x \(\Rightarrow V_{CH_4}=22,4x\)
\(n_{C_2H_2}\) là y \(\Rightarrow V_{C_2H_2}=22,4y\)
\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)
x x ( mol )
\(2C_2H_2+5O_2\rightarrow\left(t^o\right)4CO_2+2H_2O\)
y 2y ( mol )
Ta có:
\(\left\{{}\begin{matrix}22,4x+22,4y=3,36\\x+2y=0,2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
\(\Rightarrow V_{CH_4}=22,4.0,1=2,24l\)
\(\Rightarrow V_{C_2H_2}=22,4.0,05=1,12l\)
\(\%V_{CH_4}=\dfrac{2,24}{3,36}.100=66,67\%\)
\(\%V_{C_2H_2}=100\%-66,67\%=33,33\%\)
\(n_{CH_4} = a\ mol ;n_{C_2H_6} = b\ mol\\ \Rightarrow a + b = \dfrac{3,36}{22,4}= 0,15(1)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_6 + \dfrac{7}{2}O_2 \xrightarrow{t^o} 2CO_2 + 3H_2O\\ n_{CO_2} = a + 2b = \dfrac{4,48}{22,4} = 0,2(2)\\ (1)(2) \Rightarrow a = 0,1 ;b = 0,05\\ \Rightarrow \%V_{CH_4} = \dfrac{0,1}{0,15}.100\% = 66,67\%\\ \%V_{C_2H_6} = 100\% - 66,67\% = 33,33\%\)
\(n_{CH_4}=a\left(mol\right),n_{C_2H_6}=b\left(mol\right)\)
\(\Rightarrow a+b=0.15\left(mol\right)\left(1\right)\)
\(n_{CO_2}=\dfrac{4.48}{22.4}=0.2\left(mol\right)\)
\(\Rightarrow a+2b=0.2\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.1,b=0.05\)
\(\%CH_4=\dfrac{0.1}{0.15}\cdot100\%=66.67\%\)
\(\%C_2H_6=33.33\%\)
Đáp án D