Cho 6,72 lít hỗn hợp gồm metan và etilen sục qua dung dịch brom dư thấy có 16 g brom tham gia phản ứng .Tính VCH4 trong hỗn hợp ban đầu
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\(n_{Br_2}=\dfrac{m_{Br_2}}{M_{Br_2}}=\dfrac{16}{160}=0,1mol\)
\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
0,1 0,1 ( mol )
\(\%V_{C_2H_4}=\dfrac{0,1.22,4}{16,8}.100=13,33\%\)
\(\%V_{CH_4}=100\%-13,33\%=86,67\%\)
\(a,n_{Br_2}=\dfrac{6,4}{160}=0,04\left(mol\right)\)
PTHH: C2H4 + Br2 ---> C2H4Br2
0,04<---0,04
\(\rightarrow\left\{{}\begin{matrix}V_{C_2H_4}=0,04.22,4=0,896\left(l\right)\\V_{CH_4}=2,24-0,896=1,344\left(l\right)\end{matrix}\right.\\ b,\rightarrow\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,896}{2,24}.100\%=40\%\\\%V_{CH_4}=100\%-40\%=60\%\end{matrix}\right.\)
\(n_{Br_2}=\dfrac{32}{160}=0,2mol\Rightarrow n_{etilen}=0,2mol\)
\(n_{hh}=\dfrac{11,2}{22,4}=0,5mol\Rightarrow n_{metan}=0,5-0,2=0,3mol\)
\(\%m_{etilen}=\dfrac{0,2\cdot28}{0,2\cdot18+0,3\cdot16}\cdot100\%=53,85\%\)
\(\%m_{metan}=100\%-53,85\%=46,15\%\)
\(n_{Br_2}=\dfrac{1,92}{160}=0,012\left(mol\right)\)
Gọi số mol C2H4, C2H2 là a, b (mol)
=> \(a+b=\dfrac{0,224}{22,4}=0,01\) (1)
PTHH: C2H4 + Br2 --> C2H4Br2
a---->a
C2H2 + 2Br2 --> C2H2Br4
b----->2b
=> a + 2b = 0,012 (2)
(1)(2) => a = 0,008 (mol); b = 0,002 (mol)
=> \(\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,008}{0,01}.100\%=80\%\\\%V_{C_2H_2}=100\%-80\%=20\%\end{matrix}\right.\)
\(n_{Br_2}=\dfrac{8}{160}=0,05mol\)
\(\Rightarrow n_{C_2H_4}=0,05mol\Rightarrow m_{C_2H_4}=1,4g\)
\(\%m_{C_2H_4}=\dfrac{1,4}{2}\cdot100\%=70\%\)
\(\%m_{CH_4}=100\%-70\%=30\%\)
a, \(n_{hh}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\)
\(n_{Br2}=\dfrac{24}{160}=0,15\left(mol\right)\)
\(CH_2=CH_2+Br_2\rightarrow CH_2+CH_2\)
/Br /Br
0,15mol<----- 0,15mol
\(nC_2H_4=0,15\left(mol\right)\)
\(\Rightarrow nCH_3=0,35-0,15=0,2\left(mol\right)\)
\(\%VCH_4=\%nCH_4=\dfrac{0,2}{0,35}.100\%=57,14\%\)
\(\%VC_2H_4=100-57,14=42,86\%\)
\(n_{Br_2}=\dfrac{28}{160}=0,175\left(mol\right)\\ a,C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ b,n_{C_2H_4}=n_{Br_2}=0,175\left(mol\right)\\ V_{C_2H_4}=0,175.22,4=3,92\left(l\right)\\ \%V_{C_2H_4}=\dfrac{3,92}{8,6}.100\approx45,581\%\\ \%V_{CH_4}\approx54.419\%\)
c, Thiếu dữ kiện
PT: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
Ta có: \(n_{Br_2}=\dfrac{16}{160}=0,1\left(mol\right)\)
Theo PT: \(n_{C_2H_4}=n_{Br_2}=0,1\left(mol\right)\Rightarrow V_{C_2H_4}=0,1.22,4=2,24\left(l\right)\)
\(\Rightarrow V_{CH_4}=6,72-2,24=4,48\left(l\right)\)