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a.\(n_{hh}=\dfrac{6,72}{22,4}=0,3mol\)
Gọi \(\left\{{}\begin{matrix}n_{CH_4}=x\\n_{C_2H_4}=y\end{matrix}\right.\)
\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)
x x ( mol )
\(C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\)
y 2y ( mol )
\(n_{CaCO_3}=\dfrac{40}{100}=0,4mol\)
\(Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3+H_2O\)
0,4 0,4 ( mol )
Ta có:
\(\left\{{}\begin{matrix}x+y=0,3\\x+2y=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)
\(\%V_{CH_4}=\dfrac{0,2}{0,3}.100=66,67\%\)
\(\%V_{C_2H_4}=100\%-66,67\%=33,33\%\)
b.\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
0,1 0,1 ( mol )
\(m_{Br_2}=0,1.160:10\%=160g\)
a)
nBr2 = 0,2.0,2 = 0,04 (mol)
nCaCO3 = \(\dfrac{10}{100}=0,1\left(mol\right)\)
PTHH: C2H4 + Br2 --> C2H4Br2
0,04<--0,04---->0,04
C2H4 + 3O2 --to--> 2CO2 + 2H2O
0,04--------------->0,08
CH4 + 2O2 --to--> CO2 + 2H2O
0,02<-------------0,02
Ca(OH)2 + CO2 --> CaCO3 + H2O
0,1<------0,1
=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,02}{0,02+0,04}.100\%=33,33\%\\\%V_{C_2H_4}=\dfrac{0,04}{0,02+0,04}.100\%=66,67\%\end{matrix}\right.\)
b) mC2H4Br2 = 0,04.188 = 7,52 (g)
\(n_{hhkhí}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\\ m_{tăng}=m_{C_2H_4}=4,2\left(g\right)\\ n_{C_2H_4}=\dfrac{4,2}{28}=0,15\left(mol\right)\\ n_{CH_4}=0,35-0,15=0,2\left(mol\right)\\ \left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,15}{0,35}=42,85\%\\\%V_{CH_4}=100\%-42,85\%=57,15\%\end{matrix}\right.\)
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
\(m_{CaCO_3}=0,5.100=50\left(g\right)\)
\(a,n_{hhkhí\left(C_2H_4,C_2H_2\right)}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ n_{Br_2}=\dfrac{80}{160}=0,5\left(mol\right)\\ Gọi\left\{{}\begin{matrix}n_{C_2H_4}=a\left(mol\right)\\n_{C_2H_2}=b\left(mol\right)\end{matrix}\right.\\ PTHH:C_2H_4+Br_2\rightarrow C_2H_4Br_2\\ Mol:a\rightarrow a\\ C_2H_2+2Br_2\rightarrow C_2H_2Br_4\\ Mol:b\rightarrow2b\\ Hệ.pt\left\{{}\begin{matrix}a+b=0,3\\a+2b=0,5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\\ \%V_{C_2H_4}=\dfrac{0,1}{0,3}=33,33\%\\ \%V_{C_2H_2}=100\%-33,335=66,67\%\)
\(b,PTHH:\\ C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\\ Mol:0,1\rightarrow0,3\rightarrow0,2\\ 2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\\ Mol:0,2\rightarrow0,25\rightarrow0,4\\ n_{CO_2}=0,2+0,4=0,6\left(mol\right)\\ PTHH:Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3+H_2O\\ Mol:0,6\rightarrow0,6\rightarrow0,6\\ m_{CaCO_3}=0,6.100=60\left(g\right)\)
a, \(C_2H_2+2Br_2\rightarrow C_2H_2Br_4\)
\(n_{Br_2}=\dfrac{16}{160}=0,1\left(mol\right)\)
Theo PT: \(n_{C_2H_2}=\dfrac{1}{2}n_{Br_2}=0,05\left(mol\right)\)
\(\Rightarrow V_{C_2H_2}=0,05.22,4=1,12\left(l\right)\)
\(\Rightarrow V_{CH_4}=3,36-1,12=2,24\left(l\right)\)
b, \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)
\(n_{CH_4}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=0,325\left(mol\right)\)
\(\Rightarrow V_{O_2}=0,325.22,4=7,28\left(l\right)\Rightarrow V_{kk}=5V_{O_2}=36,4\left(l\right)\)
Theo PT: \(n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=0,2\left(mol\right)\)
\(CO_2+Ca\left(OH\right)_2\rightarrow CaCO_{3\downarrow}+H_2O\)
\(\Rightarrow n_{CaCO_3}=n_{CO_2}=0,2\left(mol\right)\Rightarrow m_{CaCO_3}=0,2.100=20\left(g\right)\)
a)
Khí còn lại là CH4
\(n_{CH_4}=\dfrac{0,448}{22,4}=0,02\left(mol\right)\)
=> \(n_{C_2H_4}=\dfrac{1,16-0,02.16}{28}=0,03\left(mol\right)\)
\(\%V_{CH_4}=\dfrac{0,02}{0,02+0,03}.100\%=40\%\)
\(\%V_{C_2H_4}=\dfrac{0,03}{0,02+0,03}.100\%=60\%\)
b)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
0,02-------------->0,02
C2H4 + 3O2 --to--> 2CO2 + 2H2O
0,03------------->0,06
=> nCO2 = 0,02 + 0,06 = 0,08 (mol)
PTHH: Ca(OH)2 + CO2 --> CaCO3 + H2O
0,08----->0,08
=> mCaCO3 = 0,08.100 = 8 (g)
\(n_{Br_2}=\dfrac{8}{160}=0.05\left(mol\right)\)
\(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)
\(0.05......0.05\)
\(V_{C_2H_4}=0.05\cdot22.4=1.12\left(l\right)\)
\(V_{CH_4}=20-1.12=18.88\left(l\right)\left(mol\right)\)
\(\%V_{C_2H_4}=\dfrac{1.12}{20}\cdot100\%=5.6\%\)
\(\%V_{CH_4}=100-5.6=94.4\%\)
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 )
\(m_{CaCO_3}=0,8.100=80g\)
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