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

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

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

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

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

Dài quá!!!

a. Phương trình phản ứng :

C_2­H₂ + 2Br₂  → C₂H₂Br₄         (1)

C_2­H₄ + Br₂ → C₂H₄Br₂            (2)

b. Hỗn hợp khí B gồm có H₂, C₂H₆. Gọi x, y ( mol ) lần lượt là  số mol của H₂ và C₂H₆ có trong 6,72 lít hỗn hợp B.

n_B = x + y = 6,72 : 22,4 = 0,3  mol                               (I)

% V(C₂H₆) = 100% – 66,67% = 33,33%

c.  n_A = 11,2 : 22,4 = 0,5 mol , M A  = 0,4 . 44 = 17,6 g/ mol

m_A =  0,5 . 17,6 = 8,8 gam

m_B = 0,2 . 2 + 0,1 . 30 = 3,4 gam

Vậy khối lượng bình Br₂ tăng:  m = m_A – m_B  = 8,8 – 3,4 = 5,4 gam.

\(a,n_{hhkhí\left(C_2H_4,C_2H_2\right)}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ n_{Br_2}=\dfrac{80}{160}=0,5\left(mol\right)\\ Gọi\left\{{}\begin{matrix}n_{C_2H_4}=a\left(mol\right)\\n_{C_2H_2}=b\left(mol\right)\end{matrix}\right.\\ PTHH:C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ Mol:a\rightarrow a\\ C_2H_2+2Br_2\rightarrow C_2H_2Br_4\\ Mol:b\rightarrow2b\\ Hệ.pt\left\{{}\begin{matrix}a+b=0,3\\a+2b=0,5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\\ \%V_{C_2H_4}=\dfrac{0,1}{0,3}=33,33\%\\ \%V_{C_2H_2}=100\%-33,335=66,67\%\)

\(b,PTHH:\\ C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\\ Mol:0,1\rightarrow0,3\rightarrow0,2\\ 2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\\ Mol:0,2\rightarrow0,25\rightarrow0,4\\ n_{CO_2}=0,2+0,4=0,6\left(mol\right)\\ PTHH:Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3+H_2O\\ Mol:0,6\rightarrow0,6\rightarrow0,6\\ m_{CaCO_3}=0,6.100=60\left(g\right)\)

Khí thoát ra là metan

\(\%V_{CH_4} = \dfrac{5,6}{13,44}.100\% =41,67\%\\ \%V_{C_2H_4} = 100\% - 41,67\% = 58,33\%\\ b) V_{C_2H_2} = 13,44 -5,6 = 7,84(lít)\\ n_{C_2H_2} = \dfrac{7,84}{22,4} = 0,35(mol)\\ C_2H_2 + 2Br_2 \to C_2H_2Br_4\\ n_{Br_2} = 2n_{C_2H_2} = 0,7(mol)\\ \Rightarrow C_{M_{Br_2}} = \dfrac{0,7}{0,25} = 2,8M\\ c)\)

\(CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O\\ V_{O_2} = 2V_{CH_4} + 3V_{C_2H_4} = 5,6.2 + 7,84.3 = 34,72(lít)\)

C2H4+Br2->C2H4Br2

0,15---0,15

n Br2=\(\dfrac{24}{160}\)=0,15 mol

VCH4=5,6-0,15.22,4=2,24l

=>n CH4=\(\dfrac{2,24}{22,4}\)=0,1mol

=>m CH4=0,1.16=16g

=>%CH4=\(\dfrac{2,24}{5,6}\).100=40%

=>%C2H4=100-40=60%

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

\(n_{C_2H_4}=\dfrac{5.6}{28}=0.2\left(mol\right)\)

\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

\(V_{CH_4}=11.2-0.2\cdot22.4=6.72\left(l\right)\)

\(n_{CH_4}=\dfrac{6.72}{22.4}=0.3\left(mol\right)\)

\(m_{CH_4}=0.3\cdot16=4.8\left(g\right)\)

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

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

\(V_{O_2}=\left(0.3\cdot2+0.2\cdot3\right)\cdot22.4=26.88\left(l\right)\)

a)

$V_{CH_4} = V_{khí\ thoát\ ra}  = 2,24(lít)$
$\%V_{CH_4} = \dfrac{2,24}{8,96}.100\% = 25\%$

$\%V_{C_2H_4} = 100\% -25\% = 75\%$

b)

$n_{Br_2} = n_{C_2H_4} = \dfrac{8,96.75\%}{22,4} = 0,3(mol)$
$C_{M_{Br_2}} = \dfrac{0,3}{0,2} = 1,5M$
$m_{tăng} = m_{C_2H_4} = 0,3.28 = 8,4(gam)$