a) Gọi $n_{CO_2} = a(mol) ; n_{SO_2} = b(mol)$
Ta có : 

$a + b = \dfrac{8,96}{22,4} = 0,4(mol)$

$\dfrac{44a + 64b}{a + b} = 27.2$

Suy ra : a = b = 0,2$
$V_{CO_2} = V_{SO_2} = 0,2.22,4 = 4,48(lít)$

b) Theo PTHH : $n_{K_2SO_3} = n_{SO_2} = 0,2(mol)$

$\Rightarrow m_{K_2SO_3} = 0,2.158 = 31,6(gam)$

Gọi $n_{K_2CO_3} = x(mol) ; n_{Na_2CO_3} = y(mol)$

$\Rightarrow 138x + 106y + 31,6 = 56(1)$

$n_{CO_2} = x + y = 0,2(2)$

Từ (1)(2) suy ra : x = y = 0,1

$m_{K_2CO_3} = 0,1.138 = 13,8(gam) ; m_{Na_2CO_3} = 0,1.106 = 10,6(gam)$

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) \(\left\{{}\begin{matrix}m_{Cl_2}=0,2.71=14,2\left(g\right)\\m_{O_2}=0,1.32=3,2\left(g\right)\end{matrix}\right.\)

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 --t^o--> CO₂ + 2H₂O

             a---->2a---------->a

            2C₂H₆ + 7O₂ --t^o--> 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

=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{5}{25}.100\%=20\%\\\%V_{C_2H_6}=\dfrac{20}{25}.100\%=80\%\end{matrix}\right.\)

\(\overline{M}_A=\dfrac{5.16+20.30}{5+20}=27,2\left(g/mol\right)\)

\(\overline{M}_B=20,5.2=41\left(g/mol\right)\)

=> \(d_{A/B}=\dfrac{27,2}{41}\approx0,663\)

Gọi số mol O₂, CO₂ là a, b

Có: \(\overline{M}=\dfrac{32a+44b}{a+b}=19,5.2=39\)

=> \(a=\dfrac{5}{7}b\)

=> \(\left\{{}\begin{matrix}\%V_{O_2}=\dfrac{a}{a+b}.100\%=\dfrac{\dfrac{5}{7}b}{\dfrac{5}{7}b+b}.100\%=41,67\%\\\%V_{CO_2}=\dfrac{b}{a+b}.100\%=\dfrac{b}{\dfrac{5}{7}b+b}.100\%=58,33\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\%m_{O_2}=\dfrac{32a}{32a+44b}.100\%=34,188\%\\\%m_{CO_2}=\dfrac{44b}{32a+44b}.100\%=65,812\%\end{matrix}\right.\)

\(M_{hh}=19,5.M_{H_2}=19,5.2=39\left(\dfrac{g}{mol}\right)\\ Đặt:a=V_{\dfrac{O_2}{hh}}\\ M_{hh}=39\left(\dfrac{g}{mol}\right)\\ \Leftrightarrow\dfrac{32.a+44.\left(100\%-a\right)}{100\%}=39\\ \Leftrightarrow a=\dfrac{5}{12}\\ \Rightarrow\%V_{\dfrac{O_2}{hh}}=\dfrac{5}{12}.100\%=41,667\%\Rightarrow\%V_{\dfrac{CO_2}{hh}}\approx58,333\%\\ \%m_{\dfrac{O_2}{hh}}=\dfrac{\dfrac{5}{12}.32}{\dfrac{5}{12}.32+\dfrac{7}{12}.44}.100\approx34,188\%\\ \Rightarrow\%m_{\dfrac{CO_2}{hh}}\approx65,812\%\)

a) Ta có: \(\overline{M}=12\cdot2=24\)

Theo phương pháp đường chéo: \(n_{CH_4}=n_{O_2}\) \(\Rightarrow\%V_{CH_4}=\%V_{O_2}=50\%\)

Giả sử \(n_{O_2}=n_{CH_4}=1\left(mol\right)\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{O_2}=\dfrac{32}{32+16}\cdot100\%\approx66,67\%\\\%m_{CH_4}=33,33\%\end{matrix}\right.\)

b) Ta có: \(n_{O_2}=n_{CH_4}=\dfrac{\dfrac{16,8}{22,4}}{2}=0,375\left(mol\right)\)

PTHH: \(CH_4+3O_2\xrightarrow[]{t^o}CO_2+2H_2O\)

Theo PTHH: \(n_{CO_2}=n_{CH_4}=0,375\left(mol\right)\)

\(\Rightarrow d_{hh/CH_4}=\dfrac{44\cdot0,375+32\cdot0,375}{16}=1,78125\)