dẫn 6,72 lít hỗn hợp metan etilen đi qua bình đựng dung dịch Br2 dư Sau khi phản ứng hết kết thúc thấy có 2,22 lít khí thoát ra. a,tính thể tích mỗi khí ban đầu.b, nếu đốt cháy hoàn toàn hỗn hợp trên thì cần bao nhiêu lít khí o2
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\(a,Gọi\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_4}=b\left(mol\right)\\n_{C_2H_2}=c\left(mol\right)\end{matrix}\right.\\ n_{hhkhí}=0,4\left(mol\right)\\ n_{CO_2}=\dfrac{15,68}{22,4}=0,7\left(mol\right)\\ n_{Br_2}=\dfrac{64}{160}=0,4\left(mol\right)\\ PTHH:C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ Mol:a\rightarrow a\\ C_2H_2+2Br_2\rightarrow C_2H_2Br_4\\ Mol:b\rightarrow2b\\ CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\\ Mol:a\rightarrow2a\rightarrow a\)
\(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\\ Mol:b\rightarrow3b\rightarrow2b\\ 2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\\ Mol:c\rightarrow2,5c\rightarrow2c\\ Hệ.pt\left\{{}\begin{matrix}a+b+c=0,4\\b+2c=0,4\\a+2b+2c=0,7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)
\(\%V_{CH_4}=\%V_{C_2H_2}=\dfrac{0,1}{0,4}=25\%\\ \%V_{C_2H_4}=\dfrac{0,2}{0,4}=50\%\)
\(m_{CH_4}=0,1.16=1,6\left(g\right)\\ m_{C_2H_4}=28.0,2=5,6\left(g\right)\\ m_{C_2H_2}=0,1.26=2,6\left(g\right)\\ \%m_{CH_4}=\dfrac{1,6}{1,6+5,6+2,6}=16,32\%\\ \%m_{C_2H_4}=\dfrac{5,6}{1,6+5,6+2,6}=57,14\%\\ \%m_{C_2H_2}=100\%-16,32\%-57,14\%=26,54\%\)
\(b,PTHH:C_2H_5OH\rightarrow C_2H_4+H_2O\\ Mol:0,2\leftarrow0,2\\ m_{C_2H_5OH}=0,2.46=9,2\left(g\right)\)
Dài quá!!!
\(a,n_{hhkhí\left(C_2H_4,C_2H_2\right)}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ n_{Br_2}=\dfrac{80}{160}=0,5\left(mol\right)\\ Gọi\left\{{}\begin{matrix}n_{C_2H_4}=a\left(mol\right)\\n_{C_2H_2}=b\left(mol\right)\end{matrix}\right.\\ PTHH:C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ Mol:a\rightarrow a\\ C_2H_2+2Br_2\rightarrow C_2H_2Br_4\\ Mol:b\rightarrow2b\\ Hệ.pt\left\{{}\begin{matrix}a+b=0,3\\a+2b=0,5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\\ \%V_{C_2H_4}=\dfrac{0,1}{0,3}=33,33\%\\ \%V_{C_2H_2}=100\%-33,335=66,67\%\)
\(b,PTHH:\\ C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\\ Mol:0,1\rightarrow0,3\rightarrow0,2\\ 2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\\ Mol:0,2\rightarrow0,25\rightarrow0,4\\ n_{CO_2}=0,2+0,4=0,6\left(mol\right)\\ PTHH:Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3+H_2O\\ Mol:0,6\rightarrow0,6\rightarrow0,6\\ m_{CaCO_3}=0,6.100=60\left(g\right)\)
a)
CH4 + 2O2 --to--> CO2 + 2H2O
C2H4 + 3O2 --to--> 2CO2 + 2H2O
b) Gọi số mol CH4, C2H4 là a, b (mol)
=> \(a+b=\dfrac{6,72}{22,4}=0,3\)
\(n_{CaCO_3}=\dfrac{20}{100}=0,2\left(mol\right)\)
Khí thoát ra khỏi bình là CH4
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
a---------------->a
Ca(OH)2 + CO2 --> CaCO3 + H2O
0,2<------0,2
=> a = 0,2 (mol)
=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,2}{0,3}.100\%=66,67\%\\\%V_{C_2H_4}=100\%-66,67\%=33,33\%\end{matrix}\right.\)
c) b = 0,1 (mol)
CH4 + 2O2 --to--> CO2 + 2H2O
0,2--------------->0,2----->0,4
C2H4 + 3O2 --to--> 2CO2 + 2H2O
0,1----------------->0,2---->0,2
Ca(OH)2 + CO2 --> CaCO3 + H2O
0,4------>0,4
=> \(m_{CaCO_3}=0,4.100=40\left(g\right)\)
\(\left\{{}\begin{matrix}m_{CO_2}=44\left(0,2+0,2\right)=17,6\left(g\right)\\m_{H_2O}=\left(0,4+0,2\right).18=10,8\left(g\right)\end{matrix}\right.\)
Xét \(\Delta m=m_{CO_2}+m_{H_2O}-m_{CaCO_3}=17,6+10,8-40=-11,6\left(g\right)\)
=> Khối lượng dd giảm 11,6 gam
\(n_{hhkhí}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\\ m_{tăng}=m_{C_2H_4}=4,2\left(g\right)\\ n_{C_2H_4}=\dfrac{4,2}{28}=0,15\left(mol\right)\\ n_{CH_4}=0,35-0,15=0,2\left(mol\right)\\ \left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,15}{0,35}=42,85\%\\\%V_{CH_4}=100\%-42,85\%=57,15\%\end{matrix}\right.\)
PTHH:
C2H4 + 3O2 --to--> 2CO2 + 2H2O
0,15 ------------------> 0,3
CH4 + O2 --to--> CO2 + 2H2O
0,2 -----------------> 0,2
Ca(OH)2 + CO2 ---> CaCO3 + H2O
0,5 -------> 0,5
\(m_{CaCO_3}=0,5.100=50\left(g\right)\)
a) mtăng = mC2H4
=> \(n_{C_2H_4}=\dfrac{5,6}{28}=0,2\left(mol\right)\)
=> \(\%V_{C_2H_4}=\dfrac{0,2.22,4}{13,44}.100\%=33,33\%\)
\(\%V_{CH_4}=100\%-33,33\%=66,67\%\)
b) \(n_{CH_4}=\dfrac{13,44.66,67\%}{22,4}=0,4\left(mol\right)\)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
0,4--------------->0,4
C2H4 + 3O2 --to--> 2CO2 + 2H2O
0,2----------------->0,4
Ca(OH)2 + CO2 --> CaCO3 + H2O
0,8----->0,8
=> mCaCO3 = 0,8.100 = 80 (g)
a.\(m_{tăng}=m_{C_2H_4}=5,6g\)
\(n_{hh}=\dfrac{13,44}{22,4}=0,6mol\)
\(n_{C_2H_4}=\dfrac{5,6}{28}=0,2mol\)
\(\%V_{C_2H_4}=\dfrac{0,2}{0,6}.100=33,33\%\)
\(\%V_{CH_4}=100\%-33,33\%=66,67\%\)
b.\(C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\)
0,2 0,4 ( mol )
\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)
0,4 0,4 ( mol )
\(n_{CO_2}=0,4+0,4=0,8mol\)
\(Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3+H_2O\)
0,8 0,8 ( mol )
\(m_{CaCO_3}=0,8.100=80g\)
\(a,n_{Br_2}=\dfrac{6,4}{160}=0,04\left(mol\right)\)
PTHH: C2H4 + Br2 ---> C2H4Br2
0,04<---0,04
\(\rightarrow\left\{{}\begin{matrix}V_{C_2H_4}=0,04.22,4=0,896\left(l\right)\\V_{CH_4}=2,24-0,896=1,344\left(l\right)\end{matrix}\right.\\ b,\rightarrow\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,896}{2,24}.100\%=40\%\\\%V_{CH_4}=100\%-40\%=60\%\end{matrix}\right.\)
\(a) C_2H_4 + Br_2 \to C_2H_4Br_2\\ n_{C_2H_4} = n_{Br_2} = \dfrac{48}{160} = 0,3(mol)\\ \%V_{C_2H_4} = \dfrac{0,3.22,4}{8,96}.100\% = 75\%\\ \%V_{CH_4} = 100\% -75\% = 25\%\\ b)\)
Khí còn lại : CH4
\(CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + H_2O\\ n_{CO_2} = n_{CH_4} = \dfrac{8,96.25\%}{22,4} = 0,1(mol)\\ m_{CO_2} = 0,1.44 = 4,4(gam)\)
1.Khí thoát ra là CH4 nCH4=0,1 mol mà tổng n khí=0,15 mol
=>nC2H2=0,05 mol
C2H2+2Br2 =>C2H2Br4
%VCH4=0,1/0,15.100%=66,67%
%VC2H2=33,33%
CH4+2O2=>CO2+2H2O
C2H2+5/2O2=>2CO2+H2O
Tổng mol O2=0,1.2+0,05.2,5=0,325 mol
=>VO2=0,325.22,4=7,28l
=>Vkk=7,28/20%=36,4lít
2.
C2H2 +2Br2=>C2H2Br4
0,025 mol<=0,05 mol
CH4+2O2=>CO2+2H2O
nCaCO3=nCO2=0,15 mol=>nCH4=0,15 mol
nBr2=8/160=0,05 mol=>nC2H2=0,025 mol
%VCH4=0,15/0,175.100%=85,71%
%VC2H2=14,29%
3.
nCO2=11,2/22,4=0,5 mol
C6H12O6=>2C2H5OH +2CO2
0,25 mol<=0,5 mol<=0,5 mol
mC2H5OH=0,5.46=23g
nC6H12O6=(0,5/2)/80%=0,3125 mol
=>m glucozo bđ=0,3125.180=56,25g
Theo gt ta có: $n_{hh}=0,08(mol);n_{Br_2}=0,08(mol)$
$C_2H_2+2Br_2\rightarrow C_2H_2Br_4$
Suy ra $n_{C_2H_2}=0,04(mol)=n_{CH_4}$
a, $\Rightarrow \%V_{C_2H_2}=\%V_{C_2H_4}=50\%$
b, $CH_4+2O_2\rightarrow CO_2+2H_2O$
$2C_2H_2+5O_2\rightarrow 4CO_2+2H_2O$
Ta có: $n_{O_2}=0,04.2+0,04.5=0,28(mol)\Rightarrow m_{O_2}=8,96(g)$
\(a)C_2H_2 +2Br_2 \to C_2H_2Br_2\\ n_{C_2H_2} = \dfrac{1}{2}n_{Br_2} = \dfrac{0,4.0,2}{2} = 0,04(mol)\\ \Rightarrow V_{C_2H_2} = 0,04.22,4 = 0,896(lít)\\ \%V_{C_2H_2} =\dfrac{0,896}{1,792}.100\% = 50\%\\ \Rightarrow \%V_{CH_4} = 100\% -50\% = 50\%\\ b)\\V_{CH_4} = V_{C_2H_2} = 0,896(lít)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_2 + \dfrac{5}{2}O_2 \xrightarrow{t^o} 2CO_2 + H_2O\\ \)
\(V_{O_2} = 2V_{CH_4} + \dfrac{5}{2}V_{C_2H_2} = 4,032(lít)\\ \Rightarrow m_{O_2} = \dfrac{4,032}{22,4}.32 = 5,76(gam)\)
1) nh2=0,2; n CACO3=0,7
pt1: CH4+2O2 ---> CO2+2H2O
x x
pt2: C2H4 +3O2 ----> 2CO2+2H2O
y 2y
pt3: CO2+CA(OH)2 ----> CACO3+H2O
0,7 0,7
ta có hệ pt: x+y=0,2
x+2y=0,7
tự tìm
b) nbr2=1
pt: C4H6+ 2Br2 -----> C4H6Br4
0,05 0,1 0,05
tỉ lệ: 0,3/1 > 0,1/2 => C4H6 dư
CM C4H6Br2=0,05/8,72
CM C4H6 dư= 0,25/8,72
\(a.V_{\uparrow}=V_{CH_4}=2.22l\\ V_{C_2H_4}=6,72-2,22=4,5l\\ b.n_{CH_4}=\dfrac{2,22}{22,4}=\dfrac{111}{1120}mol\\ n_{C_2H_4}=\dfrac{4,5}{22,4}=\dfrac{45}{224}mol\\ CH_4+2O_2\xrightarrow[]{t^0}CO_2+2H_2O\\ C_2H_4+3O_2\xrightarrow[]{t^0}2CO_2+2H_2O\\ V_{O_2}=\left(\dfrac{111}{1120}\cdot2+\dfrac{45}{224}\cdot3\right)\cdot22,4=17,94l\)