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Gọi số mol CH4, C2H6 là a, b
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
______a----------------->a-------->2a
2C2H6 + 7O2 --to--> 4CO2 + 6H2O
__b-------------------->2b--->3b
=>\(\dfrac{a+2b}{2a+3b}=\dfrac{3}{5}=>a=b\)
=> \(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{16a}{16a+30b}.100\%=34,78\%\\\%m_{C_2H_6}=\dfrac{30b}{16a+30b}.100\%=65,22\%\end{matrix}\right.\)
Gọi $n_{C_2H_6} = a(mol) ; n_{C_3H_8} = b(mol)$
$C_2H_6 + \dfrac{7}{2}O_2 \xrightarrow{t^o} 2CO_2 + 3H_2O$
$C_3H_8 + 5O_2 \xrightarrow{t^o} 3CO_2 + 4H_2O$
Theo PTHH :
$n_{CO_2} = 2a + 3b = 0,09(mol)$
$n_{H_2O} = 3a + 4b = 0,14(mol)$
Suy ra: a = 0,06 ; b = -0,01 ( Sai đề)
Câu 1:
\(m_{hh}=6+2,2=8,2g\)
\(n_{H_2}=\dfrac{6}{2}=3mol\)
\(n_{CO_2}=\dfrac{2,2}{44}=0,05mol\)
\(\Rightarrow V_{hh}=3.22,4+0,05.22,4=68,32l\)
Câu 2:
BTKL: \(m_A+m_{O_2}=m_{CO_2}+m_{H_2O}\)
\(\Rightarrow m_{H_2O}+m_{CO_2}=80g\)
Ta có: \(m_{CO_2}:m_{H_2O}=11:9\)
\(\Rightarrow m_{CO_2}=\dfrac{80}{11+9}.11=44g\)
\(\Rightarrow m_{H_2O}=36g\)
- 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!
a, PT: \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(2H_2+O_2\underrightarrow{t^o}2H_2O\)
Ta có: \(n_{CH_4}+n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\left(1\right)\)
Theo PT: \(n_{H_2O}=2n_{CH_4}+n_{H_2}=\dfrac{16,2}{18}=0,9\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,4\left(mol\right)\\n_{H_2}=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,4.22,4}{11,2}.100\%=80\%\\\%V_{H_2}=20\%\end{matrix}\right.\)
b, Theo PT: \(n_{CO_2}=n_{CH_4}=0,4\left(mol\right)\Rightarrow V_{CO_2}=0,4.22,4=8,96\left(l\right)\)
Đặt nC2H6 = a ; nC3H8 = b ;
Có VCO2 : VH2O = 11 : 15 ⇒ (2a+3b) : (3a+4b) = 11 : 15
⇒ b = 3a
Giả sử nC2H6 =1 ; nC3H8 = 3
⇒ %mC2H6 = 18,52%
%mC3H8 = 81,48%
Đáp án A.