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 a, b lần lượt là số mol CH4, O2 

Ta có \(\left\{{}\begin{matrix}a+b=\dfrac{5,6}{22,4}\\16a+32b=5,6\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}a=0,15\\b=0,1\end{matrix}\right.\)

CH4 + 2O2 → CO2 + 2H2O

0,15.....0,1.......

Lập tỉ lệ : \(\dfrac{0,15}{1}>\dfrac{0,1}{2}\) => CH4 dư, O2 hết

\(n_{CH_4\left(dư\right)}=0,15-\dfrac{0,1}{2}=0,05\left(mol\right)\)

=> \(V_{CH_4}=0,1.22,4=2,24\left(l\right)\)

\(m_{CO_2}=\dfrac{0,1}{2}.44=2,2\left(g\right)\)

\(m_{H_2O}=0,1.18=1,8\left(g\right)\)

a) \(n_{CH_4}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

PTHH: CH₄ + 2O₂ --t^o--> CO₂ + 2H₂O

            0,4---------------->0,4

=> \(V_{CO_2}=0,4.22,4=8,96\left(l\right)\)

b) \(n_{O_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

Xét tỉ lệ \(\dfrac{0,4}{1}>\dfrac{0,4}{2}\) => CH₄ dư, O₂ hết

PTHH: CH₄ + 2O₂ --t^o--> CO₂ + 2H₂O

                      0,4-------->0,2

=> \(V_{CO_2}=0,2.22,4=4,48\left(l\right)\)

Gọi \(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_6}=y\left(mol\right)\end{matrix}\right.\)

\(n_{H_2O}=\dfrac{14,4}{18}=0,8\left(mol\right)\)

\(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)

x-------->2x----------->2x

\(C_2H_6+\dfrac{7}{2}O_2\underrightarrow{t^o}2CO_2+3H_2O\)

y-------->3,5y------------->3y

Có hệ phương trình: \(\left\{{}\begin{matrix}x+y=\dfrac{6,72}{22,4}=0,3\\2x+3y=0,8\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)

a

\(\%V_{CH_4}=\dfrac{0,1.22,4.100\%}{6,72}=33,33\%\)

\(\%V_{C_2H_6}=\dfrac{0,2.22,4.100\%}{6,72}=66,67\%\)

b

\(V_{O_2}=\left(2x+3,5y\right).22,4=\left(2.0,1+3,5.0,2\right).22,4=20,16\left(l\right)\)

Cho dữ liệu dư 10% như thế thì phải hỏi là V khí \(O_2\) đã lấy/ đã dùng chứ "cần lấy" là theo PTHH (không cần cho "Biết ...")

\(V_{O_2.đã.lấy}=\dfrac{20,16.\left(100+10\right)\%}{100\%}=22,176\left(l\right)\)

Làm giúp em câu b với ạ, em cảm ơn

a)

2CO + O₂ --t^o--> 2CO₂

2H₂ + O₂ --t^o--> 2H₂O

b) \(n_{H_2O}=\dfrac{12,6}{18}=0,7\left(mol\right)\); \(n_{CO_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)

PTHH: 2CO + O₂ --t^o--> 2CO₂

             0,6<--0,3<------0,6

           2H₂ + O₂ --t^o--> 2H₂O

            0,7<--0,35<------0,7

=> \(\left\{{}\begin{matrix}V_{CO}=0,6.22,4=13,44\left(l\right)\\V_{H_2}=0,7.22,4=15,68\left(l\right)\end{matrix}\right.\)

V_O2 = (0,3 + 0,35).22,4 = 14,56 (l)

c) \(M_A=\dfrac{0,6.28+0,7.2}{0,6+0,7}=14\left(g/mol\right)\)

=> \(d_{A/O_2}=\dfrac{14}{32}=0,4375\)

\(n_{hh}=\dfrac{4.48}{22.4}=0.2\left(mol\right)\)

\(n_{C_2H_4}=75\%\cdot0.2=0.15\left(mol\right)\)

\(\Rightarrow n_{C_4H_8}=0.2-0.15=0.05\left(mol\right)\)

\(C_2H_4+3O_2\underrightarrow{^{^{t^0}}}2CO_2+2H_2O\)

\(C_4H_8+6O_2\underrightarrow{^{^{t^0}}}4CO_2+4H_2O\)

\(V_{O_2}=\left(0.15\cdot3+0.05\cdot6\right)\cdot22.4=16.8\left(l\right)\)

\(V_{CO_2}=\left(0.15\cdot2+0.05\cdot4\right)\cdot22.4=11.2\left(l\right)\)

Cảm ơn bạn

\(n_{C_2H_4}=\dfrac{4,48.75\%}{22,4}=0,15\left(mol\right)\)

\(n_{C_4H_8}=\dfrac{4,48}{22,4}-0,15=0,05\left(mol\right)\)

PTHH: C₄H₈ + 6O₂ --t^o--> 4CO₂ + 4H₂O

          0,05--->0,3------>0,2

            C₂H₄ + 3O₂ --t^o--> 2CO₂ + 2H₂O

           0,15--->0,45------>0,3

=> \(V_{CO_2}=\left(0,2+0,3\right).22,4=11,2\left(l\right)\)

\(V_{O_2}=\left(0,3+0,45\right).22,4=16,8\left(l\right)\)

\(a)\\ 2CO + O_2 \xrightarrow{t^o} 2CO\\ 2H_2 + O_2 \xrightarrow{t^o} 2H_2O\\ n_{H_2} = n_{H_2O} = \dfrac{1,8}{18} = 0,1(mol)\\ \)

Theo PTHH :

\(2n_{O_2} = n_{CO} + n_{H_2}\\ \Leftrightarrow 2.\dfrac{3,36}{22,4} = n_{CO} + 0,1\\ \Leftrightarrow n_{CO} = 0,2(mol)\\ \%V_{H_2} = \dfrac{0,1}{0,1+ 0,2}.100\% = 33,33\%\\ \%V_{CO} = 100\%-33,33\% = 66,67\%\\ c) Cách\ 1 :\\ n_{CO_2} = n_{CO} = 0,2(mol)\\ m_{CO_2} = 0,2.44 = 8,8(gam)\\ Cách\ 2 : \\ m_{hh} = m_{CO} + m_{H_2} = 0,2.28 + 0,1.2 = 5,8(gam) \)

Bảo toàn khối lượng :

\(m_{hh} + m_{O_2} = m_{H_2O} + m_{CO_2}\\ \Rightarrow m_{CO_2} = 5,8 + 0,15.32 - 1,8 = 8,8(gam)\)