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Giả sử các khí được đo ở điều kiện sao cho 1 mol khí chiếm thể tích 1 lít
Gọi số mol CH4, C2H6 là a, b (mol)
=> \(a+b=\dfrac{25}{1}=25\left(mol\right)\) (1)
\(n_{O_2}=\dfrac{95}{1}=95\left(mol\right)\)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
a---->2a---------->a
2C2H6 + 7O2 --to--> 4CO2 + 6H2O
b------>3,5b-------->2b
=> \(\left\{{}\begin{matrix}n_{O_2\left(dư\right)}=95-2a-3,5b\left(mol\right)\\n_{CO_2}=a+2b\left(mol\right)\end{matrix}\right.\)
=> \(95-a-1,5b=\dfrac{60}{1}=60\)
=> a + 1,5b = 35 (2)
(1)(2) => a = 5; b = 20
=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{5}{25}.100\%=20\%\\\%V_{C_2H_6}=\dfrac{20}{25}.100\%=80\%\end{matrix}\right.\)
\(\overline{M}_A=\dfrac{5.16+20.30}{5+20}=27,2\left(g/mol\right)\)
\(\overline{M}_B=20,5.2=41\left(g/mol\right)\)
=> \(d_{A/B}=\dfrac{27,2}{41}\approx0,663\)
Giả sử có 1 mol khí Cl2, 2 mol khí O2
a) \(\left\{{}\begin{matrix}\%V_{Cl_2}=\dfrac{1}{1+2}.100\%=33,33\%\\\%V_{O_2}=\dfrac{2}{1+2}.100\%=66,67\%\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{Cl_2}=\dfrac{1.71}{1.71+2.32}.100\%=52,59\%\\\%m_{O_2}=\dfrac{2.32}{1.71+2.32}.100\%=47,41\%\end{matrix}\right.\)
b) \(\overline{M}=\dfrac{1.71+2.32}{1+2}=45\left(g/mol\right)\)
=> \(d_{A/H_2}=\dfrac{45}{2}=22,5\)
c) \(n_A=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
=> mA = 0,3.45 = 13,5 (g)
a) Gọi số mol N2, H2 là a, b (mol)
Có: \(\overline{M}_A=\dfrac{28a+2b}{a+b}=7,5.2=15\left(g/mol\right)\)
=> 13a = 13b
=> a = b
=> \(\left\{{}\begin{matrix}\%m_{N_2}=\dfrac{28a}{28a+2b}.100\%=93,33\%\\\%m_{H_2}=\dfrac{2b}{28a+2b}.100\%=6,67\%\end{matrix}\right.\)
b) Giả sử A chứa 1 mol N2, 1 mol H2
PTHH: N2 + 3H2 --to,p,xt--> 2NH3
Xét tỉ lệ: \(\dfrac{1}{1}>\dfrac{1}{3}\) => Hiệu suất tính theo H2
Gọi số mol H2 phản ứng là 3a
PTHH: N2 + 3H2 --to,p,xt--> 2NH3
Trc pư: 1 1 0
Pư: a<--3a--------------->2a
Sau pư: (1-a) (1-3a) 2a
=> \(\overline{M}_B=\dfrac{\left(1-a\right).28+\left(1-3a\right).2+17.2a}{\left(1-a\right)+\left(1-3a\right)+2a}=9,375.2=18,75\left(g/mol\right)\)
=> a = 0,2
=> \(H\%=\dfrac{0,2.3}{1}.100\%=60\%\)
\(n_{O_2}=\dfrac{89.6}{22.4}=4\left(mol\right)\)
\(n_{H_2O}=3a\left(mol\right)\)
\(n_{CO_2}=a\left(mol\right)\)
\(2H_2+O_2\underrightarrow{^{^{t^0}}}2H_2O\)
\(2CO+O_2\underrightarrow{^{^{t^0}}}2CO_2\)
\(n_{O_2}=1.5a+0.5a=4\left(mol\right)\)
\(\Leftrightarrow a=2\)
\(n_{H_2}=3\left(mol\right),n_{CO}=1\left(mol\right)\)
\(\%V_{H_2}=\dfrac{3}{4}\cdot100\%=75\%\)
\(\%V_{CO}=25\%\)
\(\%m_{H_2}=\dfrac{3\cdot2}{3\cdot2+1\cdot28}\cdot100\%=17.64\%\)
\(\%m_{CO}=100-17.64=82.36\%\)
\(a,\left\{{}\begin{matrix}n_{O_2}=1.30\%=0,3\left(mol\right)\\n_{CO_2}=1.20\%=0,2\left(mol\right)\\n_T=1-0,3-0,2=0,5\left(mol\right)\end{matrix}\right.\)
\(b,m_{O_2}=0,3.32=9,6\left(g\right)\)
\(c,m_{hh}=\dfrac{9,6}{49,48\%}=19,4\left(g\right)\\ m_{CO_2}=0,2.44=8,8\left(g\right)\\ \rightarrow m_T=19,4-9,6-8,8=1\left(g\right)\\ \rightarrow M_T=\dfrac{1}{0,5}=2\left(\text{g/mol}\right)\\ \rightarrow T:H_2\)
a. %V (ở cùng điều kiện) cũng là %n
\(Tacó:\%V_T=100-30-20=50\%\\ Trong1molhỗnhợp:\\ n_{O_2}=1.30\%=0,3\left(mol\right)\\ n_{CO_2}=1.20\%=0,2\left(mol\right)\\ n_T=1.50\%=0,5\left(mol\right)\\ b.m_{O_2}=0,3.32=9,6\left(g\right)\\ c.\%m_{O_2}tronghỗnhợplà49,48\%\\ Trong1molhỗnhợp:m_{hh}=\dfrac{9,6}{49,48\%}=19,4\left(g\right)\\ m_{CO_2}=0,2.44=8,8\left(g\right)\\ \Rightarrow m_T=19,4-9,6-8,8=1\left(g\right)\\ \Rightarrow M_T=\dfrac{1}{0,5}=2\\ \Rightarrow TlàH_2\)
a) \(\overline{M}_A=5,875.2=11,75\left(g/mol\right)\)
b) Gọi số mol N2, H2 là a, b (mol)
\(\overline{M}_A=\dfrac{28a+2b}{a+b}=11,75\left(g/mol\right)\)
=> 16,25a = 9,75b
=> a = 0,6b
\(\left\{{}\begin{matrix}\%n_{N_2}=\dfrac{a}{a+b}.100\%=\dfrac{0,6b}{0,6b+b}.100\%=37,5\%\\\%n_{H_2}=\dfrac{b}{a+b}.100\%=\dfrac{b}{0,6b+b}.100\%=62,5\%\end{matrix}\right.\)
c)
1 mol hỗn hợp A chứa \(\left\{{}\begin{matrix}n_{N_2}=\dfrac{1.37,5}{100}=0,375\left(mol\right)\\n_{H_2}=\dfrac{1.62,5}{100}=0,625\left(mol\right)\end{matrix}\right.\)
\(\overline{M}_B=\dfrac{0,375.28+0,625.2+17x}{1+x}=6,4.2=12,8\left(g/mol\right)\)
=> x = 0,25 (mol)
