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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
=> \(m_{CaCO_3}=0,5.100=50\left(g\right)\)
\(n_{hh}=\dfrac{V_{hh}}{22,4}=\dfrac{1,68}{22,4}=0,075mol\)
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:
\(\left\{{}\begin{matrix}22,4x+22,4y=1,68\\x+2y=0,1\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,05\\y=0,025\end{matrix}\right.\)
\(\%CH_4=\dfrac{0,05}{0,075}.100=66,66\%\)
\(\%C_2H_4=100\%-66,66\%=33,34\%\)
\(m_{CH_4}=0,05.16=0,8g\)
\(m_{C_2H_4}=0,025.28=0,7g\)
MX = 48 → nX = 0,96/48 = 0,02
Ta có:
CO2 + Ba(OH)2 → BaCO3 + H2O
0,05 ←0,05 → 0,05
CO2 + BaCO3 + H2O → Ba(HCO3)2
0,02→ 0,02
Dư: 0,03
→ nBaCO3 dư = 0,03 → x = 5,91 (g) và mdd giảm = mBaCO3 – mCO2 + mH2O= 1,75 (g)
Ta có: \(n_{CH_4}+n_{C_2H_2}=\dfrac{1,68}{22,4}=0,075\left(mol\right)\left(1\right)\)
PT: \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)
\(CO_2+Ca\left(OH\right)_2\rightarrow CaCO_{3\downarrow}+H_2O\)
Theo PT: \(n_{CaCO_3}=n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=\dfrac{10}{100}=0,1\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,05\left(mol\right)\\n_{C_2H_2}=0,025\left(mol\right)\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}V_{CH_4}=0,05.22,4=1,12\left(l\right)\\V_{C_2H_2}=0,025.22,4=0,56\left(l\right)\end{matrix}\right.\)
nhh khí = 7,84/22,4 = 0,35 (mol)
Gọi nCH4 = a (mol); nC2H6 = b (mol)
a + b = 0,35 (1)
nCaCO3 = 50/100 = 0,5 (mol)
PTHH:
CO2 + Ca(OH)2 -> CaCO3 + H2O
0,5 <--- 0,5 <--- 0,5
CH4 + 2O2 -> (t°) CO2 + 2H2O
a ---> 2a ---> a
2C2H6 + 7O2 -> (t°) 4CO2 + 6H2O
b ---> 3,5b ---> 2b
=> a + 2b = 0,5 (2)
Từ (1)(2) => a = 0,2 (mol); b = 0,15 (mol)
mCH4 = 0,2 . 16 = 3,2 (g)
mC2H6 = 0,15 . 30 = 4,5 (g)
%mCH4 = 3,2/(3,2 + 4,5) = 41,55%
%mC2H6 = 100% - 41,55% = 58,45%