\(\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_4}=b\left(mol\right)\end{matrix}\right.\)\(\Rightarrow a + b = \dfrac{3,36}{22,4} = 0,15(1) \)

\(CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O\\ n_{CO_2} = a + 2b = \dfrac{4,48}{22,4} = 0,2(2)\)

Từ (1)(2) suy ra: a = 0,1 ; b = 0,05

Suy ra:

\(\%V_{CH_4} = \dfrac{0,1}{0,15}.100\% = 66,67\%\\ \%V_{C_2H_4} = 100\% - 66,67\% = 33,33\%\)

b)

\(C_2H_4 + Br_2 \to C_2H_4Br_2\\ n_{Br_2} = n_{C_2H_4} = 0,05(mol)\\ \Rightarrow m_{Br_2} = 0,05.160 = 8\ gam\)

 Ta có Cùng điều kiện -> Quy số lít về số mol.n(hh ban đầu) = 20 mol; n(hh sau) = 16 lít

=> H2 phản ứng mất 4 lít => C2H2 có 2 lít và CH4 có 8 lít

a.\(n_{hh}=\dfrac{V_{hh}}{22,4}=\dfrac{0,896}{22,4}=0,04mol\)

\(n_{Br_2}=\dfrac{m_{Br_2}}{M_{Br_2}}=\dfrac{8}{160}=0,05mol\)

Gọi \(n_{C_2H_2}\) là x => \(V_{C_2H_2}=22,4x\)

       \(n_{C_2H_4}\) là y => \(V_{C_2H_4}=22,4y\)

\(C_2H_2+2Br_2\rightarrow C_2H_2Br_4\)

  x           2x                 x         ( mol )

\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

   y         y                y            ( mol )

Ta có hpt:

\(\left\{{}\begin{matrix}22,4x+22,4y=0,896\\2x+y=0,05\end{matrix}\right.\)   \(\Leftrightarrow\left\{{}\begin{matrix}x=0,01\\y=0,03\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}V_{C_2H_2}=0,01.22,4=0,224\\V_{C_2H_4}=0,03.22,4=0,672\end{matrix}\right.\)

\(\%V_{C_2H_2}=\dfrac{0,224}{0,896}.100=25\%\)

\(\%V_{C_2H_4}=100-25=75\%\)

b.\(m_{Sp}=0,01.186+0,03.346+0,03.188=16,02g\)

( Em cảm ơn anh Kudo Sinichi rất nhiều ạ!! )

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

a) Ta có: \(n_{C_2H_4}=\dfrac{9,1}{28}=0,325\left(mol\right)=n_{Br_2}\) \(\Rightarrow V_{Br_2}=\dfrac{0,325}{2}=0,1625\left(l\right)=162,5\left(ml\right)\)

b) Ta có: \(\left\{{}\begin{matrix}n_{C_2H_4}=0,325\left(mol\right)\\n_{CH_4}=\dfrac{13,44}{22,4}-0,325=0,275\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{hh}=9,1+0,275\cdot16=13,5\left(g\right)\)

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

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

Theo các PTHH: \(\Sigma n_{O_2}=2n_{CH_4}+3n_{C_2H_4}=1,525\left(mol\right)\)

\(\Rightarrow V_{O_2}=1,525\cdot22,4=34,16\left(l\right)\)

\(m_{tăng}=m_{C_2H_4}=5.6\left(g\right)\)

\(m_{CH_4}=8.8-5.6=3.2\left(g\right)\)

\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

\(\%CH_4=\dfrac{3.2}{8.8}\cdot100\%=36.36\%\)

\(\%C_2H_4=100-36.36=63.64\%\)

\(m_{C_2H_4Br_2}=188\cdot0.2=37.6\left(g\right)\)

a) Gọi số mol CH₄, C₂H₄ là a, b (mol)

=> \(\left\{{}\begin{matrix}16a+28b=11,6\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\)

=> a = 0,2 (mol); b = 0,3 (mol)

\(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,2}{0,5}.100\%=40\%\\\%V_{C_2H_4}=\dfrac{0,3}{0,5}.100\%=60\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{0,2.16}{11,6}.100\%=27,586\%\\\%m_{C_2H_4}=\dfrac{0,3.28}{11,6}.100\%=72,414\%\end{matrix}\right.\)

b) 

\(n_{C_2H_4}=\dfrac{5,6.60\%}{22,4}=0,15\left(mol\right)\)

m_tăng = m_C2H4 = 0,15.28 = 4,2 (g)

a, PT: \(C_3H_6+Br_2\rightarrow C_3H_6Br_2\)

Ta có: m _{bình tăng} = m_C3H6 = 6,3 (g)

\(\Rightarrow n_{C_3H_6}=\dfrac{6,3}{42}=0,15\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%V_{C_3H_6}=\dfrac{0,15.22,4}{6,72}.100\%=50\%\\\%V_{C_2H_6}=100-50=50\%\end{matrix}\right.\)

b, Theo PT: \(n_{Br_2}=n_{C_3H_6}=0,15\left(mol\right)\Rightarrow C_{M_{Br_2}}=\dfrac{0,15}{0,3}=0,5\left(M\right)\)

c, Theo PT: \(n_{C_3H_6Br_2}=n_{C_3H_6}=0,15\left(mol\right)\Rightarrow C_{M_{C_3H_6Br_2}}=\dfrac{0,15}{0,3}=0,5\left(M\right)\)

$C_2H_4 + Br_2 \to C_2H_4Br_2$

Ta có : 

$m_{C_2H_4} = m_{dd\ tăng} = 3(gam)$

$\Rightarrow n_{C_2H_4} = \dfrac{3}{28}(mol)$

$\Rightarrow n_{C_2H_6} = 0,25 - \dfrac{3}{28} = \dfrac{1}{7}(mol)$

$\%V_{C_2H_4} = \dfrac{ \dfrac{3}{28} }{0,25}.100\% = 42,9\%4

$\%V_{C_2H_6} = 100\% - 42,9\% = 57,1\%$

$\%m_{C_2H_4} = \dfrac{3}{3 + \dfrac{1}{7}.30}.100\% = 41,2\%$

$\%m_{C_2H_6} = 100\% - 41,2\% = 58,8\%$

$C_2H_4 + Br_2 \to C_2H_4Br_2$

Ta có : 

$m_{C_2H_4} = m_{dd\ tăng} = 3(gam)$

$\Rightarrow n_{C_2H_4} = \dfrac{3}{28}(mol)$

$\Rightarrow n_{C_2H_6} = 0,25 - \dfrac{3}{28} = \dfrac{1}{7}(mol)$

$\%V_{C_2H_4} = \dfrac{ \dfrac{3}{28} }{0,25}.100\% = 42,9\%$

$\%V_{C_2H_6} = 100\% - 42,9\% = 57,1\%$

$\%m_{C_2H_4} = \dfrac{3}{3 + \dfrac{1}{7}.30}.100\% = 41,2\%$

$\%m_{C_2H_6} = 100\% - 41,2\% = 58,8\%$

Ta có: m _{bình Brom tăng} = m_C2H4 = 5,6 (g)

\(\Rightarrow n_{C_2H_4}=\dfrac{5,6}{28}=0,2\left(mol\right)\Rightarrow\%V_{C_2H_4}=\dfrac{0,2.22,4}{5,6}.100\%=80\%\)

\(\Rightarrow\%V_{CH_4}=100-80=20\%\)