17. Hỗn hợp khí A chứa Cl2 và O2 có tỉ lệ mol tương ứng là 1 : 2. Hỗn hợp khí B chứa CO và N2. a/ Tính thành phần % về thể tích mỗi khí trong A ? b/ Tính thành phần % về khối lượng mỗi khí trong A ? c/ Tính tỉ khối của hỗn hợp A so với hỗn hợp B?
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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)
Áp dụng quy tắc đường chéo:
\(a.\\ \Rightarrow\dfrac{V_{Cl_2}}{V_{O_2}}=\dfrac{15,6}{23,4}=\dfrac{2}{3}\\ \Rightarrow\left\{{}\begin{matrix}\%V_{Cl_2}=40\%\\\%V_{O_2}=60\%\end{matrix}\right.\)
\(b.\)
Ta có: \(\dfrac{n_{Cl_2}}{n_{O_2}}=\dfrac{2}{3}\Leftrightarrow\dfrac{m_{Cl_2}}{m_{O_2}}=\dfrac{71.2}{32.3}=\dfrac{71}{48}\Leftrightarrow48m_{Cl_2}-71m_{O_2}=0\)
Mặt khác: \(m_{Cl_2}+m_{O_2}=5,95\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Cl_2}=3,55\left(g\right)\\m_{O_2}=2,4\left(g\right)\end{matrix}\right.\)
\(Coi: n_{Cl_2} = 1(mol) \to n_{O_2} = 2(mol)\\ \%V_{Cl_2} = \dfrac{1}{1+2}.100\% = 33,33\%\\ \%V_{O_2} = 100\% -33,33\% = 66,67\%\\ M_A = \dfrac{1.71+2.32}{1+2}=45(g/mol)\\ d_{A/H_2} = \dfrac{45}{2} = 22,5\)
\(\text{Trong 6,72 lít khí A : }m_A = 45.\dfrac{6,72}{22,4}=13,5(gam)\)
a) \(\left\{{}\begin{matrix}n_{Cl_2}+n_{O_2}=\dfrac{6,72}{22,4}=0,3\\\overline{M}=\dfrac{71.n_{Cl_2}+32.n_{O_2}}{n_{Cl_2}+n_{O_2}}=2.29=58\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}n_{Cl_2}=0,2\left(mol\right)\\n_{O_2}=0,1\left(mol\right)\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%V_{Cl_2}=\dfrac{0,2}{0,3}.100\%=66,67\%\\\%V_{O_2}=\dfrac{0,1}{0,3}.100\%=33,33\%\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}m_{Cl_2}=0,2.71=14,2\left(g\right)\\m_{O_2}=0,1.32=3,2\left(g\right)\end{matrix}\right.\)
\(n_A=1\left(mol\right)\)
\(n_{HCl}=a\left(mol\right)\Rightarrow n_{O_2}=1-a\left(mol\right)\)
\(\overline{M}=8.45\cdot4=33.8\left(\dfrac{g}{mol}\right)\)
\(\Rightarrow m=36.5a+32\cdot\left(1-a\right)=33.8\left(g\right)\)
\(\Rightarrow a=0.4\)
\(\%V_{HCl}=\dfrac{0.4}{1}\cdot100\%=40\%\)
\(\%V_{O_2}=60\%\)
\(b.\)
\(n_{HCl}:n_{O_2}=0.4:0.6=2:3\)
\(n_{HCl}=2x\left(mol\right),n_{O_2}=3x\left(mol\right)\)
\(m_{hh}=2x\cdot36.5+3x\cdot32=4.225\left(g\right)\)
\(\Leftrightarrow x=0.025\left(mol\right)\)
\(m_{HCl}=0.025\cdot2\cdot36.5=1.825\left(g\right)\)
\(m_{O_2}=2.4\left(g\right)\)
\(a,\left\{{}\begin{matrix}n_{O_2}=1.30\%=0,3\left(mol\right)\\n_{CO_2}=1.20\%=0,2\left(mol\right)\\n_T=1-0,3-0,2=0,5\left(mol\right)\end{matrix}\right.\)
\(b,m_{O_2}=0,3.32=9,6\left(g\right)\)
\(c,m_{hh}=\dfrac{9,6}{49,48\%}=19,4\left(g\right)\\ m_{CO_2}=0,2.44=8,8\left(g\right)\\ \rightarrow m_T=19,4-9,6-8,8=1\left(g\right)\\ \rightarrow M_T=\dfrac{1}{0,5}=2\left(\text{g/mol}\right)\\ \rightarrow T:H_2\)
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)
$n_{Cl_2} : n_{O_2} = 1 : 2$
Suy ra :
$\%V_{Cl_2} = \dfrac{1}{1 + 2}.100\% = 33,33\%$
$\%V_{O_2} = \dfrac{2}{1 + 2}.100\% = 66,67\%$
b)
Coi $n_{Cl_2} = 1 (mol) \Rightarrow n_{O_2} = 2(mol)$
$\%m_{Cl_2} = \dfrac{1.71}{1.71 + 2.32}.100\% = 52,59\%$
$\%m_{O_2} = 100\% -52,59\% = 47,41\%$
c)
$M_A = \dfrac{71.1 + 32.2}{1 + 2} = 45(g/mol)$
$d_{A/B} = \dfrac{45}{28} = 1,607$