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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, \(CH_4+2O_2\underrightarrow{t^o}CO_2+H_2O\)
\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)
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: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=3,5\left(mol\right)\Rightarrow m_{O_2}=3,5.32=112\left(g\right)\)
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: $n_{CaCO_3}=n_{CO_2}=0,15+0,1.2=0,35(mol)\Rightarrow m_{CaCO_3}=35(g)$
\(a)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O\\ b)\ V_{CH_4} = a(lít) ; V_{C_2H_4} = b(lít)\\ \Rightarrow a + b = 5,6(1)\\ V_{O_2} = 2a + 3b = 13,44(2)\\ (1)(2)\Rightarrow a = 3,36 ; b = 2,24\\ \%V_{CH_4} = \dfrac{3,36}{5,6}.100\% = 60\%\\ \%V_{C_2H_4} = 40\%\\ c) V_{CO_2} = a + 2b = 7,84(lít)\\\)
\(CO_2 + Ca(OH)_2 \to CaCO_3 + H_2O\\ n_{CaCO_3} = n_{CO_2} = \dfrac{7,84}{22,4} = 0,35(mol)\\ \Rightarrow m_{CaCO_3} = 0,35.100 = 35(gam)\)
\(n_{Br_2}=\dfrac{16}{160}=0,1mol\Rightarrow n_{CH_2}=0,1mol\)
\(n_{hh}=\dfrac{5,6}{22,4}=0,25mol\)
\(\Rightarrow n_{CH_4}=0,25-0,1=0,15mol\)
\(\%V_{CH_2}=\dfrac{0,1}{0,25}\cdot100\%=40\%\)
\(\%V_{CH_4}=100\%-40\%=60\%\)
\(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(CH_2+\dfrac{3}{2}O_2\underrightarrow{t^o}CO_2+H_2O\)
\(\Rightarrow\Sigma n_{CO_2}=0,15+0,1=0,25mol\)
\(BTC:n_{CO_2}=n_{CaCO_3}=0,25mol\)
\(\Rightarrow m_{\downarrow}=0,25\cdot100=25g\)
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) $n_{O_2} = 2n_{CH_4} + 3n_{C_2H_4} = 0,175(mol)$
$\Rightarrow V_{O_2} = 0,175.22,4 = 3,92(lít)$
$\Rightarrow V_{kk} = 5V_{O_2} = 19,6(lít)$
\(n_{C_2H_4}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\\ C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\\ a,n_{O_2}=3.0,5=1,5\left(mol\right)\\ V_{O_2\left(đktc\right)}=1,5.22,4=33,6\left(l\right)\\ V_{kk\left(đktc\right)}=33,6.5=168\left(l\right)\\ b,n_{CO_2}=n_{H_2O}=2.0,5=1\left(mol\right)\\ m_{CO_2}=44.1=44\left(g\right);m_{H_2O}=18.1=18\left(g\right)\\ c,CO_2+Ca\left(OH\right)_2\rightarrow CaCO_3+H_2O\\ n_{Ca\left(OH\right)_2}=n_{CO_2}=1\left(mol\right)\\ m_{Ca\left(OH\right)_2}=1.74=74\left(g\right)\\ m_{ddCa\left(OH\right)_2}=\dfrac{74.100}{10}=740\left(g\right)\)
\(n_{hh}=\dfrac{V_{hh}}{22,4}=\dfrac{1,68}{22,4}=0,075mol\)
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:
\(\left\{{}\begin{matrix}22,4x+22,4y=1,68\\x+2y=0,1\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,05\\y=0,025\end{matrix}\right.\)
\(\%CH_4=\dfrac{0,05}{0,075}.100=66,66\%\)
\(\%C_2H_4=100\%-66,66\%=33,34\%\)
\(m_{CH_4}=0,05.16=0,8g\)
\(m_{C_2H_4}=0,025.28=0,7g\)
\(n_{hhkhí}=\dfrac{2,8}{22,4}=0,125\left(mol\right)\\ n_{O_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ Gọi\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_2}=b\left(mol\right)\end{matrix}\right.\)
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)