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: \(C+O_2\rightarrow CO_2\)(ĐK: t độ)

x         x          x

\(S+O_2\rightarrow SO_2\)(ĐK: t độ)

y       y         y

b: \(n_{O_2}=\dfrac{11.2}{22.4}=0.5\left(mol\right)\)

Theo đề, ta có hệ:

12x+32y=10 và x+y=0,5

=>x=0,3 và y=0,2

\(m_C=0.3\cdot12=3.6\left(g\right)\)

\(m_S=0.2\cdot32=6.4\left(g\right)\)

c: \(n_{CO_2}=n_C=0.3\left(mol\right)\)

\(n_{SO_2}=n_S=0.2\left(mol\right)\)

\(V_{khí}=22.4\left(0.3+0.2\right)=11.2\left(lít\right)\)

\(n_{O_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

PTHH :

\(C+O_2\rightarrow\left(t^o\right)CO_2\)

x       x               x 

\(S+O_2\rightarrow\left(t^o\right)SO_2\)

y      y                y

Gọi n C = x 

     n S = y (mol)

Ta có hệ PT :

\(\left\{{}\begin{matrix}12x+32y=10\\x+y=0,5\end{matrix}\right.\)

\(\rightarrow x=0,3;y=0,2\)

\(m_C=0,3.12=3,6\left(g\right)\)

\(m_S=0,2.32=6,4\left(g\right)\)

\(c,V_{hhk}=\left(0,3+0,2\right).22,4=11,2\left(l\right)\)

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

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)

\(n_{hhk}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

\(n_{O_2}=\dfrac{26,88}{22,4}=1,2\left(mol\right)\)

Đặt \(\left\{{}\begin{matrix}n_{CH_4}=x\\n_{C_2H_4}=y\end{matrix}\right.\) ( mol ) \(\Rightarrow n_{hhk}=x+y=0,5\left(1\right)\)

\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)

 x          2x                                   ( mol )

\(C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\)

  y        3y                                     ( mol )

\(\rightarrow n_{O_2}=2x+3y=1,2\left(2\right)\)

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

\(\%V_{CH_4}=\dfrac{0,3}{0,5}.100=60\%\)

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

- 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 :

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

Gọi số mol CH₄, C₂H₆ là a, b

=> a+b = \(\dfrac{5,6}{22,4}=0,25\)

Có \(\dfrac{16a+30b}{a+b}=0,6.29=17,4\)

=> a = 0,225; b = 0,025

PTHH: CH₄ + 2O₂ --t^o--> CO₂ + 2H₂O

____0,225->0,45------->0,225->0,45

2C₂H₆ + 7O₂ --t^o--> 4CO₂ + 6H₂O

0,025->0,0875----->0,05-->0,075

=> V_O2 = (0,45+0,0875).22,4 = 12,04 (l)

m_CO2 = (0,225 + 0,05).44 = 12,1(g)

m_H2O = (0,45+ 0,075).18 = 9,45(g)

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

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

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

b, Sửa đề: 17,9 (l) → 17,92 (l)

Ta có: \(n_{CO_2}=\dfrac{17,92}{22,4}=0,8\left(mol\right)=n_C\)

\(n_{H_2O}=\dfrac{18}{18}=1\left(mol\right)\Rightarrow n_H=1.2=2\left(mol\right)\)

⇒ m_A = m_C + m_H = 0,8.12 + 2.1 = 11,6 (g)

Theo ĐLBT KL, có: m_A + m_O2 = m_CO2 + m_H2O

⇒ m_O2 = 0,8.44 + 18 - 11,6 = 41,6 (g)

\(\Rightarrow n_{O_2}=\dfrac{41,6}{32}=1,3\left(mol\right)\Rightarrow V_{O_2}=1,3.22,4=29,12\left(l\right)\)