\(Đặt:n_{CH_4}=a\left(mol\right),n_{C_2H_4}=b\left(mol\right)\)

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

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

\(CH_4+2O_2\underrightarrow{t^0}CO_2+2H_2O\)

\(C_2H_4+3O_2\underrightarrow{t^0}2CO_2+2H_2O\)

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

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

Vì : tỉ lệ thể tích tương ứng với tỉ lệ số mol : 

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

\(\%n_{C_2H_4}=100-66.67=33.33\%\)

Chúc em học tốt !!

Đặt \(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_4}=y\left(mol\right)\end{matrix}\right.\)

\(\Sigma n_{hhkA}=\dfrac{3,36}{22,4}=0,15\\ \rightarrow x+y=0,15\left(1\right)\)

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

(mol)........x....->...2x.......x..............2x

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

(mol)........y......->...3y...........2y........2y

\(\Sigma n_{CO_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ \rightarrow x+2y=0,2\)

Giải hpt (1) (2) ta được x=0,1 ; y=0,05

\(\%V_{CH_4}=\dfrac{0,1.22,4}{3,36}.100\%=66,67\%\\ \%V_{C_2H_4}=100\%-66,67\%=33,33\%\)

Gọi số mol của metan(CH4) là x, số mol của tean(C2H6) là y

CH4+O2−→CO2

C2H6+O2−→2CO2

nA = x+ y= 3,36\22,4=0,150 mol (1) 

   nCO2 = x + 2y=4,4822,4= 0,20 mol 

Từ (1) và (2) => x = 0,1mol;  y=0,05mol

⇒ %VCH4 =0,1\0,15.100%= 66,7% và %VC2H6

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

\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)

Ta có: \(n_{CH_4}+n_{C_2H_2}=\dfrac{33,6}{22,4}=1,5\left(mol\right)\left(1\right)\)

Theo PT: \(n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=\dfrac{56}{22,4}=2,5\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,5\left(mol\right)\\n_{C_2H_2}=1\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,5.22,4}{33,6}.100\%\approx33,33\%\\\%V_{C_2H_2}\approx66,67\%\end{matrix}\right.\)

b, Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=3,5\left(mol\right)\Rightarrow m_{O_2}=3,5.32=112\left(g\right)\)

nhh khí = 5,6/22,4 = 0,25 (mol)

nBr2 = 16/160 = 0,1 (mol)

PTHH: C2H2 + 2Br2 -> C2H2Br4

Mol: 0,05 <--- 0,1

nCH4 = 0,25 - 0,05 = 0,2 (mol)

%VC2H2 = 0,05/0,25 = 20%

%VCH4 = 100% - 20% = 80%

PTHH: 

2C2H2 + 5O2 -> (t°) 4CO2 + 2H2O

0,05 ---> 0,125 ---> 0,1

CH4 + 2O2 -> (t°) CO2 + 2H2O

0,2 ---> 0,4 ---> 0,2

nCO2 = 0,2 + 0,1 = 0,3 (mol)

PTHH: Ca(OH)2 + CO2 -> CaCO3 + H2O

nCaCO3 = 0,3 (mol)

mCaCO3 = 0,3 . 100 = 30 (g)

a) \(n_{CH_4}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)

\(n_{CO_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: CH₄ + 2O₂ --t^o--> CO₂ + 2H₂O

          0,05-->0,1------->0,05

             2C₂H₂ + 5O₂ --t^o--> 4CO₂ + 2H₂O

            0,125<--0,3125<----0,25

=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,05}{0,05+0,125}.100\%=28,57\%\\\%V_{C_2H_2}=\dfrac{0,125}{0,05+0,125}.100\%=71,43\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{0,05.16}{0,05.16+0,125.26}.100\%=19,753\%\\\%m_{C_2H_2}=\dfrac{0,125.26}{0,05.16+0,125.26}.100\%=80,247\%\end{matrix}\right.\)

b) \(n_{O_2}=0,1+0,3125=0,4125\left(mol\right)\)

=> \(V_{O_2}=0,4125.22,4=9,24\left(l\right)\)

=> V_kk = 9,24.5 = 46,2 (l)

\(2CO + O_2 \xrightarrow{t^o} 2CO_2(1)\\ 2H_2 + O_2 \xrightarrow{t^o} 2H_2O(2)\\ n_{CO} = n_{CO_2} = \dfrac{4,48}{22,4} = 0,2(mol)\\ n_{O_2(1)} = \dfrac{n_{CO_2}}{2} = 0,1(mol)\\ \Rightarrow n_{H_2} = 2n_{O_2(2)} = 2.(\dfrac{6,72}{22,4}-0,1)=0,4(mol)\\ \%V_{CO} = \dfrac{0,2}{0,2+0,4}.100\% = 33,33\%\\ \%V_{H_2} = 100\% -33,33\% = 66,67\%\)

\(\%m_{CO} = \dfrac{0,2.28}{0,2.28+0,4.2}.100\% = 87,5\%\\ \%m_{H_2} = 100\% - 87,5\% = 12,5\%\)

\(n_{CO_2}=\dfrac{4,958}{24,79}=0,2\left(mol\right)\\ n_{O_2}=\dfrac{7,437}{24,79}=0,3\left(mol\right)\)

PTHH:

2CO + O₂ --to--> 2CO₂

0,2       0,1             0,2

-> n_O2 = 0,3 - 0,1 = 0,2 (mol)

2H₂ + O₂ --to--> 2H₂O

0,4      0,2

\(\rightarrow n_{hhkhí}=0,1+0,4=0,5\left(mol\right)\\ \rightarrow\left\{{}\begin{matrix}\%V_{CO}=\dfrac{0,2}{0,5}=40\%\\\%V_{H_2}=100\%-40\%=60\%\end{matrix}\right.\)