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\(\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_4}=b\left(mol\right)\end{matrix}\right.\)\(\Rightarrow a + b = \dfrac{3,36}{22,4} = 0,15(1) \)
\(CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O\\ n_{CO_2} = a + 2b = \dfrac{4,48}{22,4} = 0,2(2)\)
Từ (1)(2) suy ra: a = 0,1 ; b = 0,05
Suy ra:
\(\%V_{CH_4} = \dfrac{0,1}{0,15}.100\% = 66,67\%\\ \%V_{C_2H_4} = 100\% - 66,67\% = 33,33\%\)
b)
\(C_2H_4 + Br_2 \to C_2H_4Br_2\\ n_{Br_2} = n_{C_2H_4} = 0,05(mol)\\ \Rightarrow m_{Br_2} = 0,05.160 = 8\ gam\)
a) Gọi số mol CH4, C2H4 là a, b (mol)
=> \(\left\{{}\begin{matrix}16a+28b=11,6\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\)
=> a = 0,2 (mol); b = 0,3 (mol)
\(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,2}{0,5}.100\%=40\%\\\%V_{C_2H_4}=\dfrac{0,3}{0,5}.100\%=60\%\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{0,2.16}{11,6}.100\%=27,586\%\\\%m_{C_2H_4}=\dfrac{0,3.28}{11,6}.100\%=72,414\%\end{matrix}\right.\)
b)
\(n_{C_2H_4}=\dfrac{5,6.60\%}{22,4}=0,15\left(mol\right)\)
mtăng = mC2H4 = 0,15.28 = 4,2 (g)
\(n_{C_2H_4}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\\ PTHH:C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\\ n_{O_2}=3.0,4=1,2\left(mol\right);n_{CO_2}=0,4.2=0,8\left(mol\right)\\ a,V_{O_2\left(đktc\right)}=22,4.1,2=26,88\left(l\right)\\ b,V_{kk\left(đktc\right)}=\dfrac{100}{20}.26,88=134,4\left(l\right)\\ c,CO_2+Ca\left(OH\right)_2\rightarrow CaCO_3\downarrow\left(trắng\right)+H_2O\\ n_{CaCO_3}=n_{CO_2}=0,8\left(mol\right)\\ m_{kết.tủa}=m_{CaCO_3}=100.0,8=80\left(g\right)\)
Gọi số mol CO, CH4 là a, b (mol)
=> \(a+b=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
\(n_{O_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH: 2CO + O2 --to--> 2CO2
a--->0,5a
CH4 + 2O2 --to--> CO2 + 2H2O
b--->2b
=> 0,5a + 2b = 0,2
=> a = 0,2 (mol); b = 0,05 (mol)
=> \(\left\{{}\begin{matrix}\%V_{CO}=\dfrac{0,2}{0,25}.100\%=80\%\\\%V_{CH_4}=\dfrac{0,05}{0,25}.100\%=20\%\end{matrix}\right.\)
\(n_{hh}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ n_{O_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ 2CO+O_2\rightarrow\left(t^o\right)2CO_2\\ CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\\ Đặt:n_{CO}=a\left(mol\right);n_{CH_4}=b\left(mol\right)\left(a,b>0\right)\\ \Rightarrow\left\{{}\begin{matrix}a+b=0,25\\0,5a+2b=0,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,05\end{matrix}\right.\\ \Rightarrow\%V_{\dfrac{CO}{hh}}=\%n_{\dfrac{CO}{hh}}=\dfrac{a}{a+b}.100\%=\dfrac{0,2}{0,25}.100=80\%;\%V_{CH_4}=100\%-80\%=20\%\)
nhh khí = 5,6/22,4 = 0,25 (mol)
nBr2 = 16/160 = 0,1 (mol)
PTHH: C2H2 + 2Br2 -> C2H2Br4
Mol: 0,05 <--- 0,1
nCH4 = 0,25 - 0,05 = 0,2 (mol)
%VC2H2 = 0,05/0,25 = 20%
%VCH4 = 100% - 20% = 80%
PTHH:
2C2H2 + 5O2 -> (t°) 4CO2 + 2H2O
0,05 ---> 0,125 ---> 0,1
CH4 + 2O2 -> (t°) CO2 + 2H2O
0,2 ---> 0,4 ---> 0,2
nCO2 = 0,2 + 0,1 = 0,3 (mol)
PTHH: Ca(OH)2 + CO2 -> CaCO3 + H2O
nCaCO3 = 0,3 (mol)
mCaCO3 = 0,3 . 100 = 30 (g)
a) \(m_{tăng}=m_{C_2H_4}=0,84\left(g\right)\)
=> \(n_{C_2H_4}=\dfrac{0,84}{28}=0,03\left(mol\right)\)
Gọi số mol CH4, H2 trong 3360 ml A là a, b
=> \(a+b=\dfrac{3,36}{22,4}-0,03=0,12\left(mol\right)\) (1)
Gọi số mol CH4, H2 trong 0,7 lít hh là ak, bk
=> ak + bk + 0,03k = \(\dfrac{0,7}{22,4}=0,03125\) (2)
Và 16ak + 2bk + 0,84k = 0,4875 (3)
(1)(2)(3) => \(\left\{{}\begin{matrix}a=0,09\left(mol\right)\\b=0,03\left(mol\right)\\k=\dfrac{5}{24}\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,03}{0,15}.100\%=20\%\\\%V_{CH_4}=\dfrac{0,09}{0,15}.100\%=60\%\\\%V_{H_2}=\dfrac{0,03}{0,15}.100\%=20\%\end{matrix}\right.\)
b)
\(n_{C_2H_4}=\dfrac{1,68}{22,4}.20\%=0,015\left(mol\right)\)
\(n_{CH_4}=\dfrac{1,68}{22,4}.60\%=0,045\left(mol\right)\)
\(n_{H_2}=\dfrac{1,68}{22,4}.20\%=0,015\left(mol\right)\)
Bảo toàn C: \(n_{CO_2}=0,075\left(mol\right)\)
Bảo toàn H: \(n_{H_2O}=0,135\left(mol\right)\)
\(n_{Ca\left(OH\right)_2}=0,05.1=0,05\left(mol\right)\)
\(m_{ddCa\left(OH\right)_2}=1000.1,025=1025\left(g\right)\)
PTHH: Ca(OH)2 + CO2 --> CaCO3 + H2O
0,05---->0,05----->0,05
CaCO3 + CO2 + H2O --> Ca(HCO3)2
0,025<--0,025------------>0,025
\(m_{CaCO_3}=\left(0,05-0,025\right).100=2,5\left(g\right)\)
mdd sau pư = 1025 + 0,075.44 + 0,135.18 - 2,5 = 1028,23 (g)
\(C\%_{Ca\left(HCO_3\right)_2}=\dfrac{0,025.162}{1028,23}.100\%=0,3939\%\)
\(\left\{{}\begin{matrix}CH_4:x\left(mol\right)\\C_2H_2:y\left(mol\right)\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}16x+26y=11,6\\x+y=\dfrac{11,2}{22,4}\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,14mol\\y=0,36mol\end{matrix}\right.\)
a)\(\%V_{CH_4}=\dfrac{0,14}{0,5}\cdot100\%=28\%\)
\(\%V_{C_2H_2}=100\%-28\%=72\%\)
\(\%m_{CH_4}=\dfrac{0,14\cdot16}{11,6}\cdot100\%=19,31\%\)
\(\%m_{C_2H_2}=100\%-19,31\%=80,69\%\)
b)\(n_{hh}=\dfrac{5,6}{22,4}=0,25mol\)
Dẫn dung dịch qua bình đựng brom chỉ có \(C_2H_2\) tác dụng.
\(\Rightarrow m_{tăng}=m_{C_2H_2}=0,25\cdot26=6,5g\)
a)
$CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O$
$C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O$
$CO_2 + Ba(OH)_2 \to BaCO_3 + H_2O$
b)
Gọi $n_{CH_4} = a(mol) ; n_{C_2H_4} = b(mol)$
$\Rightarorw a + b = \dfrac{1,68}{22,4} = 0,075(1)$
Theo PTHH : $n_{BaCO_3} = n_{CO_2} = a + 2b = \dfrac{19,7}{197} = 0,1(2)$
Từ (1)(2) suy ra : a = 0,05 ; b = 0,025
$\%V_{CH_4} = \dfrac{0,05}{0,075}.100\% = 66,67\%$
$\%V_{C_2H_4} = 100\% - 66,67\% = 33,33\%$
c) $n_{O_2} = 2n_{CH_4} + 3n_{C_2H_4} = 0,175(mol)$
$\Rightarrow V_{O_2} = 0,175.22,4 = 3,92(lít)$
$\Rightarrow V_{kk} = 5V_{O_2} = 19,6(lít)$
a, Ta có \(n_{CH_4}+n_{C_2H_4}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\left(1\right)\)
PT: \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\)
Theo PT: \(n_{O_2}=2n_{CH_4}+3n_{C_2H_4}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,05\left(mol\right)\\n_{C_2H_4}=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}V_{CH_4}=0,05.22,4=1,12\left(l\right)\\V_{C_2H_4}=0,1.22,4=2,24\left(l\right)\end{matrix}\right.\)
b, \(m_{CH_4}=0,05.16=0,8\left(g\right)\)
c, \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
Theo PT: \(n_{Br_2}=n_{C_2H_4}=0,1\left(mol\right)\Rightarrow V_{ddBr_2}=\dfrac{0,1}{1}=0,1\left(l\right)\)
\(m_{C_2H_4}=0,1.28=2,8\left(g\right)\)