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

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

b, Gọi: \(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_4}=y\left(mol\right)\end{matrix}\right.\) \(\Rightarrow x+y=\dfrac{4,48}{22,4}=0,2\left(mol\right)\left(1\right)\)

Theo PT: \(n_{O_2}=2n_{CH_4}+3n_{C_2H_4}=2x+3y=\dfrac{15,68}{22,4}=0,7\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=-0,1\\y=0,3\end{matrix}\right.\)

Đến đây thì ra số mol âm, bạn xem lại đề nhé.

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

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

b) Đặt \(n_{CH_4}=x\left(mol\right);n_{C_2H_4}=y\left(mol\right)\). Khi đó \(22,4x+22,4y=4,48\) \(\Leftrightarrow x+y=0,2\)

Từ PTHH \(\Rightarrow n_{O_2\left(1\right)}=2x\left(mol\right)\)\(;n_{O_2\left(2\right)}=3y\left(mol\right)\). Khi đó \(2x.22,4+3y.22,4=11,2\) \(\Leftrightarrow2x+3y=0,5\)

Vậy ta có \(\left\{{}\begin{matrix}x+y=0,2\\2x+3y=0,5\end{matrix}\right.\Leftrightarrow x=y=0,1\left(mol\right)\)

\(\Rightarrow\%V_{CH_4}=\%V_{C_2H_4}=50\%\)

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

\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)

Ta có: \(n_{CH_4}+n_{C_2H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\left(1\right)\)

\(n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,25\left(mol\right)\\n_{C_2H_2}=0,05\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,25.22,4}{6,72}.100\%\approx83,33\%\\\%V_{C_2H_2}\approx16,67\%\end{matrix}\right.\)

Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=0,625\left(mol\right)\Rightarrow m_{O_2}=0,625.32=20\left(g\right)\)

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

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

CH₄+2O₂-to>CO₂+2H₂O

x------2x---------x

C₂H₂+\(\dfrac{5}{2}\)O₂-to>2CO₂+H₂O

y----------\(\dfrac{5}{2}\)y--------2y

Ta có :

\(\left\{{}\begin{matrix}x+y=\dfrac{6,72}{22,4}\\x+2y=\dfrac{8,96}{22,4}\end{matrix}\right.\)

=>x=0,2 mol, y=0,1 mol

=>%V_CH4=\(\dfrac{0,2.22,4}{6,72}\).100=66,67%

=>%V_C2H2=100-66,67=33,33%

b)

V_O2=(2.0,2+\(\dfrac{5}{2}\).0,1).22,4=14,56l

a) \(n_{Br_2\left(p\text{ư}\right)}=\dfrac{6,4}{160}=0,04\left(mol\right);n_{hh}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)

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

             0,04<--0,04

\(\Rightarrow\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,04}{0,6}.100\%=6,67\%\\\%V_{CH_4}=100\%-6,67\%=93,33\%\end{matrix}\right.\)

b) \(n_{CH_4}=0,6-0,04=0,56\left(mol\right)\)

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

              0,56----------->0,56

            \(C_2H_4+3O_2\xrightarrow[]{t^o}2CO_2+2H_2O\)

              0,04----------->0,08

\(\Rightarrow V_{CO_2}=\left(0,08+0,56\right).22,4=14,336\left(l\right)\)

CH₄+2O₂-to>CO₂+2H₂O

x------2x---------x

C₂H₄+3O₂-to>2CO₂+2H₂O

y----------3y--------2y

=>\(\left\{{}\begin{matrix}x+y=\dfrac{5,6}{22,4}\\2x+3y=\dfrac{13,44}{22,4}\end{matrix}\right.\)

=>x=0,15 mol , y=0,1 mol

=>%V_CH4=\(\dfrac{0,15.22,4}{5,6}\).100=60%

=>%V_C2H4=100-60=40%

b)

V_CO2=(0,15+0,1.2).22,4=7,84l

mhh khí = 5,6/22,4 = 0,25 (mol)

nO2 = 13,44/22,4 = 0,6 (mol)

Gọi nC2H4 = a (mol); nCH4 = b (mol)

a + b = 0,25 (1)

PTHH:

C2H4 + 3O2 -> (t°) 2CO2 + 2H2O

Mol: a ---> 3a ---> 2a

CH4 + 2O2 -> (t°) CO2 + 2H2O

Mol: b ---> 2b ---> b

3a + 2b = 0,6 (2)

(1)(2) => a = 0,1 (mol); b = 0,15 (mol)

%VC2H4 = 0,1/0,25 = 40%

%VCH4 = 100% - 40% = 60%

VCO2 = (0,1 . 2 + 0,15) . 22,4 = 7,84 (l)

\(n_{CH_4} = a\ mol ;n_{C_2H_6} = b\ mol\\ \Rightarrow a + b = \dfrac{3,36}{22,4}= 0,15(1)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_6 + \dfrac{7}{2}O_2 \xrightarrow{t^o} 2CO_2 + 3H_2O\\ n_{CO_2} = a + 2b = \dfrac{4,48}{22,4} = 0,2(2)\\ (1)(2) \Rightarrow a = 0,1 ;b = 0,05\\ \Rightarrow \%V_{CH_4} = \dfrac{0,1}{0,15}.100\% = 66,67\%\\ \%V_{C_2H_6} = 100\% - 66,67\% = 33,33\%\)

\(n_{CH_4}=a\left(mol\right),n_{C_2H_6}=b\left(mol\right)\)

\(\Rightarrow a+b=0.15\left(mol\right)\left(1\right)\)

\(n_{CO_2}=\dfrac{4.48}{22.4}=0.2\left(mol\right)\)

\(\Rightarrow a+2b=0.2\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.1,b=0.05\)

\(\%CH_4=\dfrac{0.1}{0.15}\cdot100\%=66.67\%\)

\(\%C_2H_6=33.33\%\)

Gọi số mol của metan là x, số mol của etan là y

nA = 0,150 mol = x+ y     (1)

(n_{CO_{2}}) = 0,20 mol = x + 2y      (2)

Từ (1) và (2)   => x = 0,100; y = 0,0500

=> %(V_{CH_{4}}) = 66,7% và %(V_{C_{2}H_{6}}) = 33,3%