a.\(n_{hh}=\dfrac{13,44}{22,4}=0,6mol\)

\(n_{C_2H_2Br_4}=\dfrac{6,72}{22,4}=0,3mol\)
\(C_2H_2+2Br_2\rightarrow C_2H_2Br_4\)

 0,3                         0,3      ( mol )

\(\%C_2H_2=\dfrac{0,3}{0,6}.100=50\%\)

\(\%CH_4=100\%-50\%=50\%\)

b.

\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)

 0,3       0,6                                       ( mol )

\(2C_2H_2+5O_2\rightarrow\left(t^o\right)4CO_2+2H_2O\)

 0,3          0,75                                        ( mol )

\(V_{O_2}=\left(0,6+0,75\right).22,4=1,35.22,4=30,24l\)

\(n_{O_2}=\dfrac{5.6}{22.4}=0.25\left(mol\right)\)

\(n_{H_2}=\dfrac{10.08}{22.4}=0.45\left(mol\right)\)

\(n_{Fe}=a\left(mol\right),n_{Al}=b\left(mol\right)\)

\(3Fe+2O_2\underrightarrow{^{^{t^0}}}Fe_3O_4\)

\(a.......\dfrac{2a}{3}\)

\(4Al+3O_2\underrightarrow{^{^{t^0}}}2Al_2O_3\)

\(b.......\dfrac{3b}{4}\)

\(n_{O_2}=\dfrac{2a}{3}+\dfrac{3b}{4}=0.25\left(mol\right)\left(1\right)\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(n_{H_2}=a+1.5b=0.45\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.15,b=0.2\)

\(m_{Fe}=0.15\cdot56=8.4\left(g\right)\)

\(m_{Al}=0.2\cdot27=5.4\left(g\right)\)

\(\%m_{Fe}=\dfrac{8.4}{8.4+5.4}\cdot100\%=60.8\%\)

\(\%m_{Al}=100-60.8=39.2\%\)

\(n_{O_2}=\dfrac{6,72}{22,4}=0,3mol\)

Gọi \(\left\{{}\begin{matrix}n_{CH_4}=x\\n_{C_2H_4}=y\end{matrix}\right.\)

\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)

  x         2x                                      ( mol )

\(C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\)

   y          3y                                       ( mol )

Ta có:

\(\left\{{}\begin{matrix}16x+28y=2,6\\2x+3y=0,3\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,075\\y=0,05\end{matrix}\right.\)

\(\Rightarrow m_{CH_4}=0,075.16=1,2g\)

\(\Rightarrow m_{C_2H_4}=0,05.28=1,4g\)

\(\%m_{CH_4}=\dfrac{1,2}{2,6}.100=46,15\%\)

\(\%m_{C_2H_4}=100\%-46,15\%=53,85\%\)

\(n_{CH_4}=22,4.0,075=1,68l\)

\(n_{C_2H_4}=0,05.22,4=1,12l\)

a.\(m_{tăng}=m_{C_2H_4}=2,8g\)

\(V_{khí.thoát.ra}=V_{CH_4}+V_{CO_2}\)

\(n_{C_2H_4}=\dfrac{2,8}{28}=0,1mol\)

\(C_2H_4+3O_2\rightarrow\left(t^o\right)2CO_2+2H_2O\)

 0,1                                          0,2        ( mol )

\(m_{H_2O\left(thu.được\right)}=0,2.18=3,6g\)

\(\Rightarrow m_{H_2O\left(pứCH_4\right)}=7,2-3,6=3,6g\)

\(n_{H_2O}=\dfrac{3,6}{18}=0,2mol\)

\(CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\)

0,1                                       0,2         ( mol )

\(\Rightarrow V_{CH_4}=0,1.22,4=2,24l\)

\(\Rightarrow V_{CO_2}=3,36-2,24=1,12l\)

\(\Rightarrow V_{C_2H_4}=0,1.22,4=2,24l\)

\(\rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{2,24}{2,24+1,12+2,24}.100=40\%\\\%V_{CO_2}=\dfrac{1,12}{2,24+1,12+2,24}.100=20\%\\\%V_{C_2H_4}=100\%-40\%-20\%=40\%\end{matrix}\right.\)

b.\(\rightarrow\left\{{}\begin{matrix}m_{CH_4}=0,1.16=1,6g\\m_{CO_2}=0,05.44=2,2g\\m_{C_2H_4}=0,1.28=2,8g\end{matrix}\right.\)

\(\Rightarrow m_{hh}=1,6+2,2+2,8=6,6g\)

c.\(m_{PE}=28.n_{C_2H_4}.H\%=28.0,1.80\%=2,24g\)

a) Khối lượng bình tăng bằng khối lượng khí etilen tham gia phản ứng với Br₂, số mol khí etilen là 2,8/28=0,1 (mol).

Đốt hỗn hợp, khí metan và etilen tạo ra 7,2/18=0,4 (mol) H₂O, suy ra số mol khí metan là (0,4.2-0,1.4):4=0,1 (mol) (BT H).

3,36 lít khí thoát ra gồm khí metan và khí cacbonic, số mol khí cacbonic là 3,36/22,4-0,1=0,05 (mol).

%V_metan=0,1/(0,1+0,1+0,05).100%=40%=%V_etilen, suy ra %V_cacbonic=100%-(40%+40%)=20%.

b) m=0,1.16+0,1.28+0,05.44=6,6 (g).

c) Số mol polietilen thực tế là 0,1.0,8/n=0,08/n (mol).

Khối lượng cần tìm là 0,08/n.28n=2,24 (g).

a) PTHH: \(2CO+O_2\underrightarrow{t^o}2CO_2\)  (1)

                \(4H_2+O_2\underrightarrow{t^o}2H_2O\)  (2)

b) Ta có: \(\left\{{}\begin{matrix}\Sigma n_{O_2}=\dfrac{9,6}{32}=0,3\left(mol\right)\\n_{CO_2}=\dfrac{8,8}{44}=0,2\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}n_{O_2\left(1\right)}=0,1mol\\n_{O_2\left(2\right)}=0,2mol\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{CO}=0,1\cdot28=2,8\left(g\right)\\m_{H_2}=0,2\cdot2=0,4\left(g\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{CO}=\dfrac{2,8}{2,8+0,4}\cdot100\%=87,5\%\\\%m_{H_2}=12,5\%\end{matrix}\right.\)

c) PTHH: \(2KMnO_4\underrightarrow{t^o}K_2MnO_4+MnO_2+O_2\uparrow\)

Theo PTHH: \(n_{KMnO_4}=2n_{O_2}=0,6mol\)

\(\Rightarrow m_{KMnO_4}=0,6\cdot158=94,8\left(g\right)\)

\(n_C = a(mol) ; n_S = b(mol)\\ \Rightarrow 12a + 32b = 5,6(1)\\ C + O_2 \xrightarrow{t^o} CO_2\\ S + O_2 \xrightarrow{t^o} SO_2\\ n_{O_2} = n_C + n_S = a + b = \dfrac{9,6}{32} = 0,3(2)\\ (1)(2)\Rightarrow a = 0,2 ; b = 0,1\\ \%m_C = \dfrac{0,2.12}{5,6}.100\% =42,86\%\\ \%m_S = 100\%-42,86\% = 57,14\%\)

\(n_{CO_2} = n_C = 0,2(mol)\\ n_{SO_2} = n_S = 0,1(mol)\\ \%V_{CO_2} = \dfrac{0,2}{0,2 + 0,1}.100\% = 66,67\%\\ \%V_{SO_2} = 100\%-66,67\% = 33,33\%\\ m_{hh\ sau\ pư} = m_C + m_S + m_{O_2} = 5,6 + 9,6 = 15,2(gam)\\ \%m_{CO_2} = \dfrac{0,2.44}{15,2}.100\% = 57,89\%\\ \%m_{SO_2} = 100\% -57,89\% = 42,11\%\)

\(2CO + O_2 \xrightarrow{t^o} 2CO_2\\ 2H_2 + O_2 \xrightarrow{t^o} 2H_2O\\ n_{CO} = n_{CO_2} = \dfrac{8,8}{44} = 0,2(mol)\\ n_{O_2} = \dfrac{n_{CO} + n_{H_2}}{2}=\dfrac{0,2+n_{H_2}}{2} = \dfrac{9,6}{32} = 0,3(mol)\\ \Rightarrow n_{H_2} = 0,4(mol)\\ \%V_{CO} = \dfrac{0,2}{0,2 + 0,4}.100\% = 33,33\%\\ \%V_{H_2} = 100\% - 33,33\% = 66,67\%\\ \%m_{CO} = \dfrac{0,2.28}{0,2.28+0,4.2}.100\%=87,5\%\\ \%m_{H_2} = 100\% - 87,5\% = 12,5\%\)