Gọi n CH4 = a(mol) ; n C2H4 = b(mol) ; n C2H2 = c(mol)

=> 16a + 28b + 26c = 4,3(1)

$C_2H_4 + Br_2 \to C_2H_4Br_2$
$C_2H_2 + 2Br_2 \to C_2H_2Br_4$

n Br2 = b + 2c = 0,15(2)

Mặt khác : 

m H2O = m tăng = 12,6 gam

=> n H2O = 0,7(mol)

n X = 8,96/22,4 = 0,4(mol)

Bảo toàn nguyên tố với H : 

n H2O = 2n CH4 + 2n C2H4 + n C2H2

Ta có : 

\(\dfrac{n_X}{n_{H_2O}} = \dfrac{a + b + c}{2a + 2b + c} = \dfrac{0,4}{0,7}(3)\)

Từ (1)(2)(3) suy ra a = 0,1 ; b = 0,05 ; c = 0,05

%V CH4 = 0,1/(0,1 + 0,05 + 0,05) .100% = 50%

%V C2H4  = %V C2H2 = 0,05/(0,1 + 0,05 + 0,05)  .100% = 25%

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

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

Ta có: \(n_{CH_4}+n_{C_2H_4}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\left(1\right)\)

Theo PT: \(n_{CO_2}=n_{CH_4}+2n_{C_2H_4}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,2\left(mol\right)\\n_{C_2H_4}=0,1\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,2.22,4}{6,72}.100\%\approx66,67\%\\\%V_{C_2H_4}\approx33,33\%\end{matrix}\right.\)

b, Theo PT: \(n_{O_2}=2n_{CH_4}+3n_{C_2H_4}=0,7\left(mol\right)\)

\(\Rightarrow V_{O_2}=0,7.22,4=15,68\left(l\right)\)

Gọi \(\left\{{}\begin{matrix}n_{H_2}=a\left(mol\right)\\n_{CO}=b\left(mol\right)\end{matrix}\right.\)⇒ 2a + 28b = 6,8(1)

\(2H_2 + O_2 \xrightarrow{t^o} 2H_2O\\ 2CO + O_2 \xrightarrow{t^o} 2CO_2\)

Theo PTHH :

\(n_{O_2} = 0,5a + 0,5b = \dfrac{8,96}{22,4} = 0,4(2)\)

Từ (1)(2) suy ra: a = 0,6 ; b = 0,2

Vậy :

\(\%m_{H_2} = \dfrac{0,6.2}{6,8}.100\% = 17,65\%\\ \%m_{CO} = 100\% - 17,65\% = 82,35\%\)

\(n_{hh}=\dfrac{V_{hh}}{22,4}=\dfrac{1,68}{22,4}=0,075mol\)

Gọi \(\left\{{}\begin{matrix}n_{CH_4}=x\\n_{C_2H_4}=y\end{matrix}\right.\)  \(\Rightarrow\left\{{}\begin{matrix}n_{CO_2\left(CH_4\right)}=x\\n_{CO_2\left(C_2H_4\right)}=2y\end{matrix}\right.\)

\(n_{CaCO_3}=\dfrac{m_{CaCO_3}}{M_{CaCO_3}}=\dfrac{10}{100}=0,1mol\)

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

                    x+2y        x+2y             ( mol )

Ta có:

\(\left\{{}\begin{matrix}22,4x+22,4y=1,68\\x+2y=0,1\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,05\\y=0,025\end{matrix}\right.\)

\(\%CH_4=\dfrac{0,05}{0,075}.100=66,66\%\)

\(\%C_2H_4=100\%-66,66\%=33,34\%\)

\(m_{CH_4}=0,05.16=0,8g\)

\(m_{C_2H_4}=0,025.28=0,7g\)

\(a,Gọi\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_4}=b\left(mol\right)\\n_{C_2H_2}=c\left(mol\right)\end{matrix}\right.\\ n_{hhkhí}=0,4\left(mol\right)\\ n_{CO_2}=\dfrac{15,68}{22,4}=0,7\left(mol\right)\\ n_{Br_2}=\dfrac{64}{160}=0,4\left(mol\right)\\ PTHH:C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ Mol:a\rightarrow a\\ C_2H_2+2Br_2\rightarrow C_2H_2Br_4\\ Mol:b\rightarrow2b\\ CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\\ Mol:a\rightarrow2a\rightarrow a\)

\(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\\ Mol:b\rightarrow3b\rightarrow2b\\ 2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\\ Mol:c\rightarrow2,5c\rightarrow2c\\ Hệ.pt\left\{{}\begin{matrix}a+b+c=0,4\\b+2c=0,4\\a+2b+2c=0,7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)

\(\%V_{CH_4}=\%V_{C_2H_2}=\dfrac{0,1}{0,4}=25\%\\ \%V_{C_2H_4}=\dfrac{0,2}{0,4}=50\%\)

\(m_{CH_4}=0,1.16=1,6\left(g\right)\\ m_{C_2H_4}=28.0,2=5,6\left(g\right)\\ m_{C_2H_2}=0,1.26=2,6\left(g\right)\\ \%m_{CH_4}=\dfrac{1,6}{1,6+5,6+2,6}=16,32\%\\ \%m_{C_2H_4}=\dfrac{5,6}{1,6+5,6+2,6}=57,14\%\\ \%m_{C_2H_2}=100\%-16,32\%-57,14\%=26,54\%\)

\(b,PTHH:C_2H_5OH\rightarrow C_2H_4+H_2O\\ Mol:0,2\leftarrow0,2\\ m_{C_2H_5OH}=0,2.46=9,2\left(g\right)\)

Dài quá!!!

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

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

Gọi số mol của metan và etan lần lượt là x và y (mol)

Phương trình phản ứng:

Vậy thành phần phần trăm về thể tích các khí trong hỗn hợp A là:

- Gọi mol metan và etan là x, y ( mol )

\(x+y=n_{hh}=\dfrac{V}{22,4}=0,25\left(mol\right)\)

Lại có : \(x+2y=n_{CO_2}=\dfrac{V}{22,4}=0,4\left(mol\right)\)

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

\(\Rightarrow\left\{{}\begin{matrix}m_{CH_4}=1,6\left(g\right)\\m_{C_2H_6}=4,5\left(g\right)\end{matrix}\right.\)

=> mhh = 6,1 ( g )

=> %mCH4 = ~ 26,22%

=> %mC2H6 = ~73,78%

Ta có : \(\%V_{CH4}=\dfrac{V}{Vhh}=40\%\)

=> %VC2H6 = 100 - %VCH4 = 60% .

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

\(2C_2H_6+5O_2\underrightarrow{t^o}4CO_2+6H_2O\)

Giả sử: \(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_6}=y\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow x+y=\dfrac{5,6}{22,4}=0,25\left(1\right)\)

Ta có: \(n_{CO_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

Theo PT: \(\Sigma n_{CO_2}=n_{CH_4}+2n_{C_2H_6}\)

\(\Rightarrow x+2y=0,4\left(2\right)\)

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

\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,1}{0,25}.100\%=40\%\\\%V_{C_2H_6}=60\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{0,1.16}{0,1.16+0,15.30}.100\%\approx26,2\%\\\%m_{C_2H_6}\approx73,8\%\end{matrix}\right.\)

Bạn tham khảo nhé!

Gọi : 

\(n_{CH_4} = a(mol) ; n_{C_2H_6} = b(mol)\\ \Rightarrow a + b = \dfrac{5,6}{22,4} = 0,25(1)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_6 + \dfrac{7}{2}O_2 \xrightarrow{t^o} 2CO_2 + 3H_2O\\ n_{CO_2} = a + 2b = \dfrac{8,96}{22,4} = 0,4(2)\)

Từ (1)(2) suy ra: a = 0,1 ; b = 0,15

Vậy :

\(\%V_{CH_4} = \dfrac{0,1.22,4}{5,6}.100\% = 40\%\\ \%V_{C_2H_6} = 100\% - 40\% = 60\%\\ \%m_{CH_4} = \dfrac{0,1.16}{0,1.16 +0,15.30}.100\% = 26,23\%\\ \%m_{C_2H_6} = 100\% - 26,23\% = 73,77\%\)