a, nBr2 = 8/160 = 0,05 (mol)

PTHH: C2H4 + Br2 -> C2H4Br2

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

Vhh khí = 2,8/22,4 = 0,125 (mol)

%VC2H4 = 0,05/0,125 = 40%

%CH4 = 100% - 40% = 60%

b, nCH4 = 0,125 - 0,05 = 0,075 (mol)

PTHH: C2H4 + 3O2 -> (t°) 2CO2 + 2H2O

Mol: 0,05 ---> 0,15

CH4 + 2O2 -> (t°) CO2 + 2H2O

Mol: 0,075 ---> 0,15

Vkk = (0,15 + 0,15) . 5 . 22,4 = 33,6 (l)

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

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

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

  x                              x                     ( mol )

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

   y                              2y                   ( mol )

\(n_{CaCO_3}=\dfrac{80}{100}=0,8mol\)

\(Ca\left(OH\right)_2+CO_2\rightarrow\left(t^o\right)CaCO_3+H_2O\)

                     0,8                0,8                      ( mol )

Ta có:

\(\left\{{}\begin{matrix}x+y=0,5\\x+2y=0,8\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,3\end{matrix}\right.\)

\(\%V_{CH_4}=\dfrac{0,2}{0,5}.100=40\%\)

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

\(m_{tăng}=m_{Ca\left(OH\right)_2}+m_{CaCO_3}=0,8.\left(74+100\right)=139,2g\)

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

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

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

\(\Rightarrow x+y=\dfrac{7,84}{22,4}=0,35\left(1\right)\)

Ta có: \(n_{O_2}=\dfrac{19,04}{22,4}=0,85\left(mol\right)\)

Theo PT: \(n_{O_2}=2n_{CH_4}+3n_{C_2H_4}=2x+3y\)

⇒ 2x + 3y = 0,85 (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,2\left(mol\right)\\y=0,15\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{0,2.16}{0,2.16+0,15.28}.100\%\approx43,2\%\\\%m_{C_2H_4}\approx56,8\%\end{matrix}\right.\)

Bạn tham khảo nhé!

B

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

Ta có: \(n_{CO_2}=\dfrac{1,68}{22,4}=0,075\left(mol\right)=n_{CH_4}\)

Đặt \(\left\{{}\begin{matrix}n_{C_2H_4}=a\left(mol\right)\\n_{C_2H_2}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow a+b=\dfrac{5,04}{22,4}-0,075=0,15\)  (1)

PTHH: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

            \(C_2H_2+2Br_2\rightarrow C_2H_2Br_4\)

Theo PTHH: \(28a+26b=4,1\)  (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=n_{C_2H_4}=0,1\left(mol\right)\\b=n_{C_2H_2}=0,05\left(mol\right)\end{matrix}\right.\)

Mặt khác: \(n_{hh}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\) \(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,075}{0,225}\cdot100\%\approx33,33\%\\\%V_{C_2H_4}=\dfrac{0,1}{0,225}\cdot100\%\approx44,44\%\\\%V_{C_2H_2}=22,23\%\end{matrix}\right.\)

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

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

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

\(n_{hh}=\dfrac{2.24}{22.4}=0.1\left(mol\right)\)

\(\Rightarrow a+b=0.1\left(1\right)\)

\(n_{BaCO_3}=\dfrac{27.58}{197}=0.14\left(mol\right)\)

\(\Rightarrow n_{CO_2}=0.14\left(mol\right)\)

\(\Rightarrow a+2b=0.14\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.06,b=0.04\)

\(\%V_{CH_4}=\dfrac{0.06}{0.1}\cdot100\%=60\%\)

\(\%V_{C_2H_4}=40\%\)

\(n_{hhkhí}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\\ m_{tăng}=m_{C_2H_4}=4,2\left(g\right)\\ n_{C_2H_4}=\dfrac{4,2}{28}=0,15\left(mol\right)\\ n_{CH_4}=0,35-0,15=0,2\left(mol\right)\\ \left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,15}{0,35}=42,85\%\\\%V_{CH_4}=100\%-42,85\%=57,15\%\end{matrix}\right.\)

PTHH:

C₂H₄ + 3O₂ --t^o--> 2CO₂ + 2H₂O

0,15 ------------------> 0,3

CH₄ + O₂ --t^o--> CO₂ + 2H₂O

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

Ca(OH)₂ + CO₂ ---> CaCO₃ + H₂O

                   0,5 -------> 0,5

\(m_{CaCO_3}=0,5.100=50\left(g\right)\)