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a) \(M_{hh}=0,6.29=17,4\) (g/mol)
Dùng phương pháp đường chéo :
=> Trong 3 lít hỗn hợp trên \(\left\{{}\begin{matrix}2,7\left(lít\right)CH_4\\0,3\left(lít\right)C_2H_6\end{matrix}\right.\)
PTHH : \(CH_4+2O_2-t^o->CO_2+2H_2O\) (1)
\(C_2H_6+\dfrac{7}{2}O_2-t^o->2CO_2+3H_2O\) (2)
Theo pthh (1) và (2) : \(\Sigma n_{O2}=2n_{CH4}+\dfrac{7}{2}n_{C2H6}\)
=> \(\Sigma_{V_{O2}}=2V_{CH4}+\dfrac{7}{2}V_{C2H6}=6,45\left(l\right)\)
b) HD : Áp dụng ĐLBTKL : mhh + mo2 = msp.cháy
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: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=3,5\left(mol\right)\Rightarrow m_{O_2}=3,5.32=112\left(g\right)\)
a.\(m_{Br_2}=8g\)
\(n_{Br_2}=\dfrac{8}{160}=0,05mol\)
\(n_{hh}=\dfrac{4,48}{22,4}=0,2mol\)
\(C_2H_2+2Br_2\rightarrow C_2H_2Br_4\)
0,025 0,05 ( mol )
\(\%V_{C_2H_2}=\dfrac{0,025}{0,2}.100=12,5\%\)
\(\%V_{CH_4}=100\%-12,5\%=87,5\%\)
b.
\(m_{C_2H_2}=0,025.26=0,65g\)
\(m_{CH_4}=\left(0,2-0,025\right).16=2,8g\)
c.
\(2C_2H_2+5O_2\rightarrow\left(t^o\right)4CO_2+2H_2O\)
0,025 0,0625 ( mol )
\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)
0,175 0,35 ( mol )
\(V_{kk}=V_{O_2}.5=\left(0,35+0,0625\right).22,4.5=46,2l\)
\(Đặt:n_{CH_4}=a\left(mol\right);n_{C_2H_4}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\\ C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\\ \Rightarrow\left\{{}\begin{matrix}a+b=0,25\\2a+3b=0,625\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,125\\b=0,125\end{matrix}\right.\\ a,m_{hh}=m_{CH_4}+m_{C_2H_4}=16.0,125+28.0,125=5,5\left(g\right)\\ b,V_{CO_2\left(đktc\right)}=22,4.\left(a+2b\right)=8,4\left(l\right)\)
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: $n_{CaCO_3}=n_{CO_2}=0,15+0,1.2=0,35(mol)\Rightarrow m_{CaCO_3}=35(g)$
\(a)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O\\ b)\ V_{CH_4} = a(lít) ; V_{C_2H_4} = b(lít)\\ \Rightarrow a + b = 5,6(1)\\ V_{O_2} = 2a + 3b = 13,44(2)\\ (1)(2)\Rightarrow a = 3,36 ; b = 2,24\\ \%V_{CH_4} = \dfrac{3,36}{5,6}.100\% = 60\%\\ \%V_{C_2H_4} = 40\%\\ c) V_{CO_2} = a + 2b = 7,84(lít)\\\)
\(CO_2 + Ca(OH)_2 \to CaCO_3 + H_2O\\ n_{CaCO_3} = n_{CO_2} = \dfrac{7,84}{22,4} = 0,35(mol)\\ \Rightarrow m_{CaCO_3} = 0,35.100 = 35(gam)\)
a)
$C_2H_4 + Br_2 \to C_2H_4Br_2$
$n_{C_2H_4} = n_{Br_2} = \dfrac{24}{160} = 0,15(mol)$
$n_X = \dfrac[7,84}{22,4} = 0,35(mol)$
$\Rightarrow n_{CH_4} = 0,35 - 0,15 = 0,2(mol)$
$CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O$
$C_2H_4 + 3O_2 \xrightarrow{t^o} 2CO_2 + 2H_2O$
$n_{O_2} = 2n_{CH_4} + 3n_{C_2H_4} = 0,85(mol)$
$V_{O_2} = 0,85.22,4 = 19,04(lít)$
$V_{không\ khí} = V_{O_2} : 20\% = 95,2(lít)$
b)
$M_X = \dfrac{0,2.16 + 0,15.28}{0,35} = 21,14(g/mol)$
$d_{X/không\ khí} = \dfrac{21,14}{29} = 0,73$
Gọi số mol CH4, C2H6 là a, b
=> a+b = \(\dfrac{5,6}{22,4}=0,25\)
Có \(\dfrac{16a+30b}{a+b}=0,6.29=17,4\)
=> a = 0,225; b = 0,025
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
____0,225->0,45------->0,225->0,45
2C2H6 + 7O2 --to--> 4CO2 + 6H2O
0,025->0,0875----->0,05-->0,075
=> VO2 = (0,45+0,0875).22,4 = 12,04 (l)
mCO2 = (0,225 + 0,05).44 = 12,1(g)
mH2O = (0,45+ 0,075).18 = 9,45(g)
a, \(n_{CH_4}=\dfrac{33,6.60\%}{22,4}=0,9\left(mol\right)\)
\(n_{C_2H_6}=\dfrac{33,6.40\%}{22,4}=0,6\left(mol\right)\)
PT: \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(2C_2H_6+7O_2\underrightarrow{t^o}4CO_2+6H_2O\)
Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{7}{2}n_{C_2H_6}=3,9\left(mol\right)\Rightarrow V_{O_2}=3,9.22,4=87,36\left(l\right)\)
\(\Rightarrow V_{kk}=5V_{O_2}=436,8\left(l\right)\)
b, Theo PT: \(\left\{{}\begin{matrix}n_{CO_2}=n_{CH_4}+2n_{C_2H_6}=2,1\left(mol\right)\\n_{H_2O}=2n_{CH_4}+3n_{C_2H_6}=3,6\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{CO_2}=2,1.44=92,4\left(g\right)\)
\(m_{H_2O}=3,6.18=64,8\left(g\right)\)
c, \(\overline{M_X}=\dfrac{0,9.16+0,6.30}{0,9+0,6}=21,6\left(g/mol\right)\)
\(\Rightarrow d_{X/H_2}=\dfrac{21,6}{2}=10,8\)