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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)
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: $n_{CaCO_3}=n_{CO_2}=0,15+0,1.2=0,35(mol)\Rightarrow m_{CaCO_3}=35(g)$
\(a)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O\\ b)\ V_{CH_4} = a(lít) ; V_{C_2H_4} = b(lít)\\ \Rightarrow a + b = 5,6(1)\\ V_{O_2} = 2a + 3b = 13,44(2)\\ (1)(2)\Rightarrow a = 3,36 ; b = 2,24\\ \%V_{CH_4} = \dfrac{3,36}{5,6}.100\% = 60\%\\ \%V_{C_2H_4} = 40\%\\ c) V_{CO_2} = a + 2b = 7,84(lít)\\\)
\(CO_2 + Ca(OH)_2 \to CaCO_3 + H_2O\\ n_{CaCO_3} = n_{CO_2} = \dfrac{7,84}{22,4} = 0,35(mol)\\ \Rightarrow m_{CaCO_3} = 0,35.100 = 35(gam)\)
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: \(n_{Br_2}=n_{C_2H_4}=0,1\left(mol\right)\Rightarrow V_{ddBr_2}=\dfrac{0,1}{1}=0,1\left(l\right)\)
\(m_{C_2H_4}=0,1.28=2,8\left(g\right)\)
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)
C2H2 + H2 C2H4
C2H2 + H2 C2H6
Khi cho hỗn hợp B qua dd nước Br2 chỉ có C2H4 và C2H2 phản ứng C2H2 +2Br2 → C2H2Br4
C2H4 + Br2 → C2H4Br2
=> khối lượng bình Br2 tăng chính bằng khối lượng của C2H2 và C2H4
mC2H2 + mC2H4 = 4,1 (g)
Hỗn hợp khí D đi ra là CH4, C2H6 và H2
CH4 + 2O2 → t ∘ CO2 + 2H2O
C2H6 + O2 → t ∘ 2CO2 + 3H2O
2H2 + O2 → t ∘ 2H2O
Bảo toàn nguyên tố O cho quá trình đốt cháy hh D ta có:
2nCO2 = 2nO2 – nH2O => nCO2 = ( 0,425. 2– 0,45)/2 = 0,2 (mol)
Bảo toàn khối lượng : mhh D = mCO2 + mH2O – mO2 = 0,2.44 + 0,45.18 – 0,425.32 = 3,3 (g)
Bảo toàn khối lương: mA = (mC2H2 + mC2H4) + mhh D = 4,1 + 3,3 = 7,4 (g)
a, \(CH_4+2O_2\underrightarrow{t^o}CO_2+H_2O\)
\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)
Ta có: \(n_{CH_4}+n_{C_2H_2}=\dfrac{33,6}{22,4}=1,5\left(mol\right)\left(1\right)\)
Theo PT: \(n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=\dfrac{56}{22,4}=2,5\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,5\left(mol\right)\\n_{C_2H_2}=1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,5.22,4}{33,6}.100\%\approx33,33\%\\\%V_{C_2H_2}\approx66,67\%\end{matrix}\right.\)
b, Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=3,5\left(mol\right)\Rightarrow m_{O_2}=3,5.32=112\left(g\right)\)
\(n_{hh}=6,72:22,4=0,3mol\\ C_2H_2+2Br_2->C_2H_2Br_4\\ C_2H_4+Br_2->C_2H_2Br_2\\ n_{Br_2}=0,4mol\\ n_{C_2H_2}=a;n_{C_2H_4}=b\\ a+b=0,3\\ 2a+b=0,4\\ a=0,2;b=0,1\\ \%V_{C_2H_2}=\dfrac{0,2}{0,3}.100\%=66,67\%\\ \%V_{C_2H_4}=33,33\%\)
1/2 hỗn hợp có 0,1 mol C2H2 và 0,05mol C2H4
\(BT.C:n_{CO_2}=2n_{C_2H_2}+2n_{C_2H_4}=0,3mol\\ n_{CaCO_3}=n_{CO_2}=0,3\\ m_{KT}=0,3.100=30g\)
\(n_{hh}=\dfrac{V_{hh}}{22,4}=\dfrac{1,68}{22,4}=0,075mol\)
Gọi \(\left\{{}\begin{matrix}n_{CH_4}=x\\n_{C_2H_4}=y\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}n_{CO_2\left(CH_4\right)}=x\\n_{CO_2\left(C_2H_4\right)}=2y\end{matrix}\right.\)
\(n_{CaCO_3}=\dfrac{m_{CaCO_3}}{M_{CaCO_3}}=\dfrac{10}{100}=0,1mol\)
\(Ca\left(OH\right)_2+CO_2\rightarrow CaCO_3+H_2O\)
x+2y x+2y ( mol )
Ta có:
\(\left\{{}\begin{matrix}22,4x+22,4y=1,68\\x+2y=0,1\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,05\\y=0,025\end{matrix}\right.\)
\(\%CH_4=\dfrac{0,05}{0,075}.100=66,66\%\)
\(\%C_2H_4=100\%-66,66\%=33,34\%\)
\(m_{CH_4}=0,05.16=0,8g\)
\(m_{C_2H_4}=0,025.28=0,7g\)
a, gọi VCH4= x (l), VC2H2=y(l)
CH4 +2 O2 -> CO2 +2 H2O (1)
x............2x........x......................(l)
C2H2 +\(\dfrac{5}{2}\) O2-> 2CO2+H2O (2)
y..............\(\dfrac{5}{2}\)y............2y................(l)
từ (1) và (2) ==> \(\left\{{}\begin{matrix}x+y=28\\2x+\dfrac{5}{2}y=67,2\end{matrix}\right.\)
giải ra x= 5,6 (l) ; y=22,4 (l)
==> % VCH4=\(\dfrac{5,6}{28}.100\%=20\%\)
==> % VC2H2= 100%-20%=80%
b, mCa(OH)2 =\(\dfrac{400.25}{100}\)=100 (g)==> n Ca(OH)2 = 1 (mol)
Vco2= x+ 2y = 5,6 +2.22,4=50,4 (l)==> nCO2 = 2,25 (mol)
xét tỉ lệ \(T=\dfrac{nCO2}{nCa\left(OH\right)2}=\dfrac{2,25}{1}\)=2,25 >2 ==> xảy ra pư
............2CO2 + Ca(OH)2 -> Ca(HCO3)2
trc pư......2,25...........1.....................................(mol)
trg pư........2..............1.........................1............(mol)
sau pư........0,25........0........................1..............(mol)
m dd Ca(HCO3)2 = 2,25.44 + 400=499 (g)
m Ca(HCO3)2= 1.162=162 (G)
==> C% Ca(HCO3)2 =\(\dfrac{162}{499}.100\%\)\(\approx\)32,47%