\(a,Đặt:n_{CH_4}=a\left(mol\right);n_{C_4H_{10}}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:CH_4+2O_2\rightarrow\left(t^o\right)CO_2+2H_2O\\ 2C_4H_{10}+13O_2\rightarrow\left(t^o\right)8CO_2+10H_2O\\ \Rightarrow\left\{{}\begin{matrix}16a+58b=7,4\\22,4a+22,4.4b=22\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{CH_4}=0,1.16=1,6\left(g\right)\\m_{C_4H_{10}}=0,1.58=5,8\left(g\right)\end{matrix}\right.\\ b,n_{O_2}=2a+\dfrac{13}{2}b=2.0,1+6,5.0,1=0,85\left(mol\right)\\ \Rightarrow V_{O_2\left(đktc\right)}=0,85.22,4=19,04\left(l\right)\)

a) Gọi số mol C₂H₄, C₃H₆ là a, b (mol)

=> \(a+b=\dfrac{3,36}{22,4}=0,15\left(mol\right)\) (1)

\(n_{CO_2}=\dfrac{17,6}{44}=0,4\left(mol\right)\)

PTHH: C₂H₄ + 3O₂ --t^o--> 2CO₂ + 2H₂O

               a----->3a--------->2a

             2C₃H₆ + 9O₂ --t^o--> 6CO₂ + 6H₂O

                b------>4,5b------->3b

=> 2a + 3b = 0,4 (2)

(1)(2) =>a = 0,05 (mol); b = 0,1 (mol)

\(\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,05}{0,15}.100\%=33,33\%\\\%V_{C_3H_6}=\dfrac{0,1}{0,15}.100\%=66,67\%\end{matrix}\right.\)

b) n_O2 = 3a + 4,5b = 0,6 (mol)

=> V_O2 = 0,6.22,4 = 13,44 (l)

Gọi a (mol) và b (mol) lần lượt là số mol của C₂H₄ và C₃H₆, ta có:

Giả thiết: a+b=3,36/22,4=0,15 (1).

BT C: 2a+3b=17,6/44=0,4 (2).

Giải hệ phương trình gồm (1) và (2), ta suy ra a=0,05 (mol) và b=0,1 (mol).

a. %V_{\(C_2H_4\)}=0,05/0,15.100%\(\approx\)33,33% \(\Rightarrow\) %V_{\(C_3H_6\)}\(\approx\)100%-33,33%\(\approx\)66,67%.

b. n_nước=0,5.(0,05.4+0,1.6)=0,4 (mol).

BTKL: m_{\(O_2\)}=17,6+0,4.18-(0,05.28+0,1.42)=19,2 (g) \(\Rightarrow\) n_{\(O_2\)}=19,2/32=0,6 (mol).

Thể tích cần tìm là 0,6.22,4=13,44 (lít).

a,\(n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

PTHH: Zn + 2HCl → ZnCl₂ + H₂

Mol:      x                                 x    

PTHH: Fe + 2HCl → FeCl₂ + H₂

Mol:      y                                 y

Ta có: \(\left\{{}\begin{matrix}65x+56y=30,7\\x+y=0,5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,3\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\%m_{Zn}=\dfrac{0,3.65.100\%}{30,7}=63,52\%;\%m_{Fe}=100\%-63,52\%=36,48\%\)

b,

PTHH: Zn + 2HCl → ZnCl₂ + H₂

Mol:     0,3     0,6                             

PTHH: Fe + 2HCl → FeCl₂ + H₂

Mol:     0,2     0,4

n_HCl = 0,6+0,4 = 1 (mol)

\(V_{ddHCl}=\dfrac{1}{2}=0,5\left(l\right)=500\left(ml\right)\)

a, PT: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

\(C_2H_2+2Br_2\rightarrow C_2H_2Br_4\)

Giả sử: \(\left\{{}\begin{matrix}n_{C_2H_4}=x\left(mol\right)\\n_{C_2H_2}=y\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow x+y=\dfrac{1,344}{22,4}=0,06\left(1\right)\)

Ta có: \(n_{Br_2}=\dfrac{16}{160}=0,1\left(mol\right)\)

Theo PT: \(n_{Br_2}=n_{C_2H_4}+2n_{C_2H_2}=x+2y\left(mol\right)\)

⇒ x + 2y = 0,1 (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,02\left(mol\right)\\y=0,04\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{0,02}{0,06}.100\%\approx33,33\%\\\%\text{ }V_{C_2H_2}\approx66,67\%\end{matrix}\right.\)

b, Ta có: 1/2 hỗn hợp khí gồm: 0,01 mol C₂H₄ và 0,02 mol C₂H₂.

PT: \(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\)

\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)

Theo PT: \(n_{CO_2}=2n_{C_2H_4}+2n_{C_2H_2}=0,06\left(mol\right)\)

\(CO_2+Ca\left(OH\right)_2\rightarrow CaCO_{3\downarrow}+H_2O\)

Theo PT: \(n_{CaCO_3}=n_{CO_2}=0,06\left(mol\right)\)

\(\Rightarrow m_{cr}=m_{CaCO_3}=0,06.100=6\left(g\right)\)

Bạn tham khảo nhé!

PTHH: \(C_2H_4+Br_2\rightarrow C_2H_4Br_2\)

Ta có: \(n_{Br_2}=\dfrac{16}{160}=0,1\left(mol\right)=n_{C_2H_4}\)

\(\Rightarrow\%V_{C_2H_4}=\dfrac{0,1\cdot22,4}{8,96}=25\%\) \(\Rightarrow\%V_{CH_4}=75\%\)

a) 

\(n_{Br_2}=\dfrac{8}{160}=0,05\left(mol\right)\)

PTHH: C₂H₄ + Br₂ --> C₂H₄Br₂

           0,05<--0,05

=> \(V_{C_2H_4}=0,05.22,4=1,12\left(l\right)\)

=> \(V_{CH_4}=4,48-1,12=3,36\left(l\right)\)

b) \(\left\{{}\begin{matrix}\%V_{C_2H_4}=\dfrac{1,12}{4,48}.100\%=25\%\\\%V_{CH_4}=\dfrac{3,36}{4,48}.100\%=75\%\end{matrix}\right.\)

a.\(n_{Br_2}=\dfrac{48}{160}=0,3mol\)

\(n_{hh}=\dfrac{7,84}{22,4}=0,35mol\)

\(C_2B_2+2Br_2\rightarrow C_2H_2Br_4\)

 0,15       0,3                      ( mol )

\(\%V_{C_2H_2}=\dfrac{0,15}{0,35},100=42,85\%\)

\(\%V_{CH_4}=100\%-42,85\%=57,15\%\)

b.\(n_{CH_4}=0,35-0,15=0,2mol\)

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

 0,2                                          0,4    ( mol )

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

  0,15                                          0,15      ( mol )

\(m_{H_2O}=\left(0,4+0,15\right).18=9,9g\)

\(Đặt:n_{CH_4}=a\left(mol\right),n_{C_2H_4}=b\left(mol\right)\)

\(\Rightarrow a+b=0.15\left(1\right)\)

\(n_{CO_2}=\dfrac{4.48}{22.4}=0.2\left(mol\right)\)

\(CH_4+2O_2\underrightarrow{t^0}CO_2+2H_2O\)

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

\(\Rightarrow a+2b=0.2\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.1,b=0.05\)

Vì : tỉ lệ thể tích tương ứng với tỉ lệ số mol : 

\(\%n_{CH_4}=\dfrac{0.1}{0.15}\cdot100\%=66.67\%\)

\(\%n_{C_2H_4}=100-66.67=33.33\%\)

Chúc em học tốt !!

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

\(\Sigma n_{hhkA}=\dfrac{3,36}{22,4}=0,15\\ \rightarrow x+y=0,15\left(1\right)\)

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

(mol)........x....->...2x.......x..............2x

\(PTHH:C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\)

(mol)........y......->...3y...........2y........2y

\(\Sigma n_{CO_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ \rightarrow x+2y=0,2\)

Giải hpt (1) (2) ta được x=0,1 ; y=0,05

\(\%V_{CH_4}=\dfrac{0,1.22,4}{3,36}.100\%=66,67\%\\ \%V_{C_2H_4}=100\%-66,67\%=33,33\%\)

Gọi số mol của metan(CH4) là x, số mol của tean(C2H6) là y

CH4+O2−→CO2

C2H6+O2−→2CO2

nA = x+ y= 3,36\22,4=0,150 mol (1) 

   nCO2 = x + 2y=4,4822,4= 0,20 mol 

Từ (1) và (2) => x = 0,1mol;  y=0,05mol

⇒ %VCH4 =0,1\0,15.100%= 66,7% và %VC2H6

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

\(m_X=27a+108b=5.4\left(g\right)\left(1\right)\)

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

\(a......0.75a...0.5a\)

\(m_{Cr}=0.5\cdot102a+108b=7.5\left(g\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=\dfrac{7}{80},b=\dfrac{9}{320}\)

\(V_{O_2}=0.75\cdot\dfrac{7}{80}\cdot22.4=1.47\left(l\right)\)

\(\%Al=\dfrac{\dfrac{7}{80}\cdot27}{5.4}\cdot100\%=43.75\%\)

\(\%Ag=56.25\%\)