a) PTHH: \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)

                \(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\)

b) Đặt \(n_{CH_4}=x\left(mol\right);n_{C_2H_4}=y\left(mol\right)\). Khi đó \(22,4x+22,4y=4,48\) \(\Leftrightarrow x+y=0,2\)

Từ PTHH \(\Rightarrow n_{O_2\left(1\right)}=2x\left(mol\right)\)\(;n_{O_2\left(2\right)}=3y\left(mol\right)\). Khi đó \(2x.22,4+3y.22,4=11,2\) \(\Leftrightarrow2x+3y=0,5\)

Vậy ta có \(\left\{{}\begin{matrix}x+y=0,2\\2x+3y=0,5\end{matrix}\right.\Leftrightarrow x=y=0,1\left(mol\right)\)

\(\Rightarrow\%V_{CH_4}=\%V_{C_2H_4}=50\%\)

a. \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)

     a          2a      a

\(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\)

  b          3b       2b

b. \(n_{O_2}=\dfrac{25.88}{22.4}=1.155mol\)

n hỗn hợp khí \(=\dfrac{11.2}{22.4}=0.5mol\)

Ta có: \(\left\{{}\begin{matrix}a+b=0.5\\2a+3b=1.155\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.345\\b=0.155\end{matrix}\right.\)

\(\%V_{CH_4}=\dfrac{0.345\times22.4\times100}{11.2}=69\%\)

\(\%V_{C_2H_4}=100-69=31\%\)

c. \(V_{CO_2}=\left(a+2b\right)\times22.4=\left(0.345+2\times0.155\right)\times22.4=14.672l\)

\(n_{CH_4} = a\ mol ;n_{C_2H_6} = b\ mol\\ \Rightarrow a + b = \dfrac{3,36}{22,4}= 0,15(1)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_6 + \dfrac{7}{2}O_2 \xrightarrow{t^o} 2CO_2 + 3H_2O\\ n_{CO_2} = a + 2b = \dfrac{4,48}{22,4} = 0,2(2)\\ (1)(2) \Rightarrow a = 0,1 ;b = 0,05\\ \Rightarrow \%V_{CH_4} = \dfrac{0,1}{0,15}.100\% = 66,67\%\\ \%V_{C_2H_6} = 100\% - 66,67\% = 33,33\%\)

\(n_{CH_4}=a\left(mol\right),n_{C_2H_6}=b\left(mol\right)\)

\(\Rightarrow a+b=0.15\left(mol\right)\left(1\right)\)

\(n_{CO_2}=\dfrac{4.48}{22.4}=0.2\left(mol\right)\)

\(\Rightarrow a+2b=0.2\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.1,b=0.05\)

\(\%CH_4=\dfrac{0.1}{0.15}\cdot100\%=66.67\%\)

\(\%C_2H_6=33.33\%\)

Gọi số mol của metan là x, số mol của etan là y

nA = 0,150 mol = x+ y     (1)

(n_{CO_{2}}) = 0,20 mol = x + 2y      (2)

Từ (1) và (2)   => x = 0,100; y = 0,0500

=> %(V_{CH_{4}}) = 66,7% và %(V_{C_{2}H_{6}}) = 33,3%

CH₄ -> CO₂

C₂H₆ -> 2 CO₂

Gọi n_CH4 = x mol, n_C2H6 = y mol

x + y = 0,15 (1)

x + 2y = 0,2 (2)

Nên: x = 0,1 mol, y = 0,05 mol

Vậy: % V_CH4 = 66,67 % => %V_C2H6 = 33,33 %

\(n_{hhk}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

\(n_{O_2}=\dfrac{26,88}{22,4}=1,2\left(mol\right)\)

Đặt \(\left\{{}\begin{matrix}n_{CH_4}=x\\n_{C_2H_4}=y\end{matrix}\right.\) ( mol ) \(\Rightarrow n_{hhk}=x+y=0,5\left(1\right)\)

\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)

 x          2x                                   ( mol )

\(C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\)

  y        3y                                     ( mol )

\(\rightarrow n_{O_2}=2x+3y=1,2\left(2\right)\)

\(\left(1\right);\left(2\right)\Rightarrow\left\{{}\begin{matrix}x=0,3\\y=0,2\end{matrix}\right.\)

\(\%V_{CH_4}=\dfrac{0,3}{0,5}.100=60\%\)

\(\%V_{C_2H_4}=100-60=40\%\)