Dẫn 7,84 lít hỗn hợp khí etilen và metan(đktc) qua dd Brom dư ,thấy khối lượng tăng lên 4,2 gam . Tính thành phần % thể tích mỗi khí trong hỗn hợp đầu.
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C2H4 + Br2 -> C2H4Br2
a a a
C2H2 + 2Br2 -> C2H2Br4
b 2b b
n hỗn hợp khí = \(\dfrac{7.84}{22.4}=0.35mol\)
Ta có: \(\left\{{}\begin{matrix}a+b=0.35\\160a+320b=72\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.25mol\\b=0.1mol\end{matrix}\right.\)
\(\%VC2H4=\dfrac{0.25\times22.4\times100}{7.84}=71.43\%\)
%VC2H2 = 100 - 71.43 = 28.57%
C2H4 + Br2 -> C2H4Br2
a a a
C2H2 + 2Br2 -> C2H2Br4
b 2b b
n hỗn hợp khí = 7.8422.4=0.35mol7.8422.4=0.35mol
Ta có: {a+b=0.35160a+320b=72⇔{a=0.25molb=0.1mol{a+b=0.35160a+320b=72⇔{a=0.25molb=0.1mol
%VC2H4=0.25×22.4×1007.84=71.43%%VC2H4=0.25×22.4×1007.84=71.43%
%VC2H2 = 100 - 71.43 = 28.57%
\(n_{Br_2}=\dfrac{4}{160}=0,025\left(mol\right);n_{hh}=\dfrac{2,8}{22,4}=0,125\left(mol\right)\)
PTHH: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
0,025<-0,125
\(\Rightarrow\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,025}{0,125}.100\%=20\%\\\%V_{CH_4}=100\%-20\%=80\%\end{matrix}\right.\)
PTHH: \(CH_4+2O_2\xrightarrow[]{t^o}CO_2+2H_2O\)
Ta có: \(n_{CO_2}=\dfrac{1,68}{22,4}=0,075\left(mol\right)=n_{CH_4}\)
Đặt \(\left\{{}\begin{matrix}n_{C_2H_4}=a\left(mol\right)\\n_{C_2H_2}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow a+b=\dfrac{5,04}{22,4}-0,075=0,15\) (1)
PTHH: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
\(C_2H_2+2Br_2\rightarrow C_2H_2Br_4\)
Theo PTHH: \(28a+26b=4,1\) (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=n_{C_2H_4}=0,1\left(mol\right)\\b=n_{C_2H_2}=0,05\left(mol\right)\end{matrix}\right.\)
Mặt khác: \(n_{hh}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\) \(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,075}{0,225}\cdot100\%\approx33,33\%\\\%V_{C_2H_4}=\dfrac{0,1}{0,225}\cdot100\%\approx44,44\%\\\%V_{C_2H_2}=22,23\%\end{matrix}\right.\)
a) \(C_2H_4 + Br_2 \to C_2H_4Br_2\)
b)
\(n_{C_2H_4} = n_{Br_2} = \dfrac{5,6}{160} = 0,035(mol)\\ \%V_{C_2H_4} = \dfrac{0,035.22,4}{0,86}.100\% = 91,16\%\\ \%V_{CH_4} = 100\% - 91,16\% = 8,84\%\)
\(Đặt:n_{C_2H_4}=a\left(mol\right);n_{C_3H_6}=b\left(mol\right)\left(a,b>0\right)\\ C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ C_3H_6+Br_2\rightarrow C_3H_6Br_2\\ m_{tăng}=m_{hh.ban.đầu}=7,7\left(g\right)\\ \Rightarrow Hpt:\left\{{}\begin{matrix}28a+42b=7,7\\a+b=0,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,05\\b=0,15\end{matrix}\right.\)
Vì thể tích tỉ lệ thuận với số mol nên ta có:
\(\%V_{C_2H_4\left(đktc\right)}=\%n_{C_2H_4}=\dfrac{a}{a+b}.100\%=\dfrac{0,05}{0,2}.100=25\%\\ \Rightarrow\%V_{C_3H_6}=100\%-25\%=75\%\)
a) C2H4 + Br2 --> C2H4Br2
b) \(n_{Br_2}=\dfrac{24}{160}=0,15\left(mol\right)\)
PTHH: C2H4 + Br2 --> C2H4Br2
0,15<--0,15----->0,15
=> \(\%V_{C_2H_4}=\dfrac{0,15.22,4}{7,84}.100\%=42,857\%\)
=> \(\%V_{CH_4}=\dfrac{7,84-0,15.22,4}{7,84}.100\%=57,143\%\)
c) mC2H4Br2 = 0,15.188 = 28,2 (g)
\(m_{Br_2}=80g\Rightarrow n_{Br_2}=0,5mol\)
\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
0,5 0,5
\(n_{hh}=\dfrac{28}{22,4}=1,25mol\)
\(\Rightarrow n_{CH_4}=1,25-0,5=0,75mol\)
\(\%V_{CH_4}=\dfrac{0,75}{1,25}\cdot100\%=60\%\)
\(\%V_{C_2H_4}=100\%-60\%=40\%\)
1. \(n_{Br_2}=0,4.0,5=0,2\left(mol\right)\)
PT: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
Theo PT: \(n_{C_2H_4}=n_{Br_2}=0,2\left(mol\right)\Rightarrow V_{C_2H_4}=0,2.22,4=4,48\left(l\right)\)
2. \(n_{C_2H_4Br_2}=\dfrac{9,4}{188}=0,05\left(mol\right)\)
PT: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
Theo PT: \(n_{C_2H_4}=n_{C_2H_4Br_2}=0,05\left(mol\right)\)
\(\Rightarrow\%V_{C_2H_4}=\dfrac{0,05.22,4}{1,4}.100\%=80\%\)
\(\Rightarrow\%V_{CH_4}=100-80=20\%\)
\(n_{hhkhí\left(C_2H_4,CH_4\right)}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\)
\(m_{tăng}=m_{C_2H_4}=4,2\left(g\right)\\ n_{C_2H_4}=\dfrac{4,2}{28}=0,15\left(mol\right)\\ \%V_{C_2H_4}=\dfrac{0,15}{0,35}=42,85\%\\ \%V_{CH_4}=100\%-42,85\%=57,15\%\)