\(n_{Br_2}=\dfrac{m_{Br_2}}{M_{Br_2}}=\dfrac{16}{160}=0,1mol\)

\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

0,1         0,1                        ( mol )

\(\%V_{C_2H_4}=\dfrac{0,1.22,4}{16,8}.100=13,33\%\)

\(\%V_{CH_4}=100\%-13,33\%=86,67\%\)

\(Đặt:n_{C_2H_4}=a\left(mol\right);n_{C_3H_6}=b\left(mol\right)\left(a,b>0\right)\\ C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ C_3H_6+Br_2\rightarrow C_3H_6Br_2\\ m_{tăng}=m_{hh.ban.đầu}=7,7\left(g\right)\\ \Rightarrow Hpt:\left\{{}\begin{matrix}28a+42b=7,7\\a+b=0,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,05\\b=0,15\end{matrix}\right.\)

Vì thể tích tỉ lệ thuận với số mol nên ta có:

\(\%V_{C_2H_4\left(đktc\right)}=\%n_{C_2H_4}=\dfrac{a}{a+b}.100\%=\dfrac{0,05}{0,2}.100=25\%\\ \Rightarrow\%V_{C_3H_6}=100\%-25\%=75\%\)

\(m_{Br_2}=80g\Rightarrow n_{Br_2}=0,5mol\)

\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

0,5         0,5

\(n_{hh}=\dfrac{28}{22,4}=1,25mol\)

\(\Rightarrow n_{CH_4}=1,25-0,5=0,75mol\)

\(\%V_{CH_4}=\dfrac{0,75}{1,25}\cdot100\%=60\%\)

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

\(a,n_{Br_2}=\dfrac{6,4}{160}=0,04\left(mol\right)\)

PTHH: C₂H₄ + Br₂ ---> C₂H₄Br₂

           0,04<---0,04

\(\rightarrow\left\{{}\begin{matrix}V_{C_2H_4}=0,04.22,4=0,896\left(l\right)\\V_{CH_4}=2,24-0,896=1,344\left(l\right)\end{matrix}\right.\\ b,\rightarrow\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,896}{2,24}.100\%=40\%\\\%V_{CH_4}=100\%-40\%=60\%\end{matrix}\right.\)

Đáp án A

Đặt n_CH4 = x mol, n_C2H2 = y mol → x + y =0,25 mol

n_Br2(pư) = 2y =0,1 mol → y =0,05 mol

→ x = 0,2 mol

→ V_CH4 = 4,48 lít và V_C2H2 =1,12 lít

\(n_{anken} = n_{Br_2} =\dfrac{80}{160} = 0,5(mol)\\ \Rightarrow V_{anken} = 0,5.22,4 = 11,2(lít)\\ \Rightarrow V_{metan} = 4,48 - 11,2 =-6,72 <0\)

(Sai đề)

a) 

\(n_{Br_2}=\dfrac{8}{160}=0,05\left(mol\right)\)

PTHH: C₂H₄ + Br₂ --> C₂H₄Br₂

             0,05<-0,05

=> \(n_{CH_4}=\dfrac{3,36}{22,4}-0,05=0,1\left(mol\right)\)

\(\%m_{CH_4}=\dfrac{0,1.16}{0,1.16+0,05.28}.100\%=53,33\%\)

\(\%m_{C_2H_4}=\dfrac{0,05.28}{0,1.16+0,05.28}.100\%=46,67\%\)

b)

PTHH: CH₄ + 2O₂ --t^o--> CO₂ + 2H₂O

            0,1-->0,2

            C₂H₄ + 3O₂ --t^o--> 2CO₂ + 2H₂O

           0,05--->0,15

=> \(V_{O_2}=\left(0,2+0,15\right).22,4=7,84\left(l\right)\)

B5:

1)

\(V_{thoát}=V_{CH_4\left(đktc\right)}=3,36\left(l\right)\\ \Rightarrow\%V_{\dfrac{CH_4}{B}}=\dfrac{3,36}{4,48}.100=75\%\Rightarrow\%V_{\dfrac{C_2H_4}{B}}=100\%-75\%=25\%\)

2)

\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\\ CO_2+Ca\left(OH\right)_2\rightarrow CaCO_3\downarrow+H_2O\\ n_{CH_4}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\\ \Rightarrow n_{CaCO_3}=n_{CO_2}=n_{CH_4}=0,15\left(mol\right)\\ \Rightarrow m_{\downarrow}=m_{CaCO_3}=100.0,15=15\left(g\right)\)

\(a/C_2H_4+Br_2\xrightarrow[]{}C_2H_4Br_2\\ b/n_{Br_2}=\dfrac{16}{160}=0,1\left(mol\right)\\ C_2H_4+Br_2\xrightarrow[]{}C_2H_4Br_2\\ \Rightarrow n_{Br_2}=n_{C_2H_4}=n_{C_2H_4Br_2}=0,1mol\\ \%V_{C_2H_4}=\dfrac{0,1.22,4}{11,2}\cdot100\%=20\%\\ \%V_{CH_4}=100\%-20\%=80\%\\ c/C_{MBr_2}=\dfrac{0,1}{0,2}=0,5\left(M\right)\)