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\(n_{hhkhí}=\dfrac{2,8}{22,4}=0,125\left(mol\right)\\ n_{O_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ Gọi\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_2}=b\left(mol\right)\end{matrix}\right.\)
PTHH:
CH4 + 2O2 \(\underrightarrow{t^o}\) CO2 + 2H2O
a 2a a
2C2H2 + 5O2 \(\underrightarrow{t^o}\) 4CO2 + 2H2O
b 2,5b 2b
Hệ phương trình: \(\left\{{}\begin{matrix}a+b=0,125\\2a+2,5b=0,3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,025\left(mol\right)\\b=0,1\left(mol\right)\end{matrix}\right.\)
\(\%V_{C_2H_2}=\dfrac{0,1}{0,125}=80\%\\ \%_{CH_4}=100\%-80\%=20\%\)
nCO2 = 2.0,025 + 2.0,1 = 0,25 (mol)
PTHH: Ca(OH)2 + CO2 -> CaCO3 + H2O
0,25 0,25
=> mCaCO3 = 0,25.100 = 25 (g)
ta có :
nBr2=\(\dfrac{16}{160}=0,1mol\)
C2H4+Br2->C2H4Br2
0,1------0,1
=>VC2H4=0,1.22,4=2,24l
=>VCH4=3,36l->n CH4=0,15 mol
->%VC2H4=\(\dfrac{2,24}{5,6}.100\)=40%
=>%VCH4=60%
c)
CH4+2O2-to>CO2+2H2O
0,15---------------0,15
C2H4+3O2--to>2CO2+2H2O
0,1--------------------0,2
=>m CaCO3=0,35.100=35g
Gọi số mol của CH 4 trong hỗn hợp là X, của C 2 H 4 trong hỗn hợp là y.
Ta có hệ: x + y = 0,15 mol và y = x + 2y = n CO 2 = n CaCO 3 = 0,2 mol
⇒ x = 0,1; y = 0,05
⇒ % V C H 4 = 66,67% ; % V C 2 H 4 = 33,33%.
a) Gọi \(\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_4}=b\left(mol\right)\end{matrix}\right.\)
=> \(a+b=\dfrac{6,72}{22,4}=0,3\) (1)
\(n_{O_2}=\dfrac{17,92}{22,4}=0,8\left(mol\right)\)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
a--->2a----------->a
C2H4 + 3O2 --to--> 2CO2 + 2H2O
b---->3b---------->2b
=> \(2a+3b=0,8\) (2)
(1)(2) => a = 0,1; b = 0,2
=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,1}{0,3}.100\%=33,33\%\\\%V_{C_2H_4}=\dfrac{0,2}{0,3}.100\%=66,67\%\end{matrix}\right.\)
b) \(n_{CO_2}=a+2b=0,5\left(mol\right)\)
PTHH: Ca(OH)2 + CO2 --> CaCO3 + H2O
0,5------>0,5
=> \(m_{CaCO_3}=0,5.100=50\left(g\right)\)
\(a)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ 2C_2H_2 + 5O_2 \xrightarrow{t^o} 4CO_2 + 2H_2O\\ b)\\ V_{CH_4} =a (lít) ; V_{C_2H_2} = b(lít)\\ \Rightarrow a + b = 7,84(1)\\ V_{O_2} = 2a + \dfrac{5}{2}b = 21,28(2)\\ (1)(2) \Rightarrow a = -3,36 < 0 ; b = 11,2\)
(Sai đề)
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) 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 )
\(m_{CaCO_3}=0,8.100=80g\)
Theo gt ta có: $n_{O_2}=0,6(mol);n_{hh}=0,25(mol)$
a, $CH_4+2O_2\rightarrow CO_2+2H_2O$
$C_2H_4+3O_2\rightarrow 2CO_2+2H_2O$
Gọi số mol CH4 và C2H4 lần lượt là a;b(mol)
Ta có: $a+b=0,25;2a+3b=0,6\Rightarrow a=0,15;b=0,1$
b, Suy ra $\%V_{CH_4}=60\%;\%V_{C_2H_4}=40\%$
c, Ta có: $n_{CaCO_3}=n_{CO_2}=0,15+0,1.2=0,35(mol)\Rightarrow m_{CaCO_3}=35(g)$
\(a)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O\\ b)\ V_{CH_4} = a(lít) ; V_{C_2H_4} = b(lít)\\ \Rightarrow a + b = 5,6(1)\\ V_{O_2} = 2a + 3b = 13,44(2)\\ (1)(2)\Rightarrow a = 3,36 ; b = 2,24\\ \%V_{CH_4} = \dfrac{3,36}{5,6}.100\% = 60\%\\ \%V_{C_2H_4} = 40\%\\ c) V_{CO_2} = a + 2b = 7,84(lít)\\\)
\(CO_2 + Ca(OH)_2 \to CaCO_3 + H_2O\\ n_{CaCO_3} = n_{CO_2} = \dfrac{7,84}{22,4} = 0,35(mol)\\ \Rightarrow m_{CaCO_3} = 0,35.100 = 35(gam)\)