PTHH: \(C+O_2\xrightarrow[]{t^o}CO_2\)

              a___a______a    (mol)

            \(S+O_2\xrightarrow[]{t^o}SO_2\)

             b___b_______b   (mol)

Ta lập HPT: \(\left\{{}\begin{matrix}12a+32b=10\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_C=0,3\cdot12=3,6\left(g\right)\\m_S=6,4\left(g\right)\\V_{khí}=0,5\cdot22,4=11,2\left(l\right)\end{matrix}\right.\)

Gọi nCH4=a mol nH2=b mol

nhh khí=a+b=11,2/22,4=0,5

CH4 +2O2=>CO2 +2H2O

a mol                    =>2a mol

2H2+ O2 =>2H2O

b mol        =>b mol

nH2O=2a+b=16,2/18=0,9 mol

=>a=0,4 và b=0,1 mol

%VCH4 trong hh bđ=0,4/0,5.100%=80%

%VH2=20%

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

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

b) \(n_{h_2khí}=\frac{11,2}{22,4}=0,5\left(mol\right)\)

\(n_{H_2O}=\frac{16,2}{18}=0,9\left(mol\right)\)

Gọi số mol của \(CH_4;H_2\) trong hỗn hợp đầu lần lượt là x, y (mol).

ĐK: \(0< x;y< 0,5\) \(\Rightarrow x+y=0,5\)

Theo PTHH ta có:\(n_{H_2O}=2x+y\Rightarrow\)Theo bài ra ta có hệ phương trình:

\(\begin{cases}x+y=0,5\\2x+y=0,9\end{cases}\)

\(\Rightarrow\begin{cases}2x+2y=1\\2x+y=0,9\end{cases}\)

\(\Rightarrow\begin{cases}x=0,4\\y=0,1\end{cases}\)

\(V_{CH_4}=0,4.22,4=8,96\left(lít\right)\)

\(V_{H_2}=0,1.22,4=2,24\left(lít\right)\)

\(\%CH_4=\frac{8,96}{11,2}.100\%=80\%\)

\(\%H_2=\frac{2,24}{11,2}.100\%=20\%\)

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

Theo đề: \(m_{hh}=36\left(g\right)\)

\(\Rightarrow m_{Mg}+m_{Fe}=36\\ \Rightarrow24x+56y=36\left(1\right)\)

\(PTHH:2Mg+O_2\underrightarrow{t^o}2MgO\\ \left(mol\right)....x\rightarrow...0,5x.....x\\ PTHH:3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\\ \left(mol\right)....y\rightarrow...\dfrac{2}{3}y....\dfrac{1}{3}y\)

Theo đề: \(n_{O_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)

\(\Rightarrow0,5x+\dfrac{2}{3}y=0,6\left(2\right)\)

\(\xrightarrow[\left(2\right)]{\left(1\right)}\left\{{}\begin{matrix}24x+56y=36\\0,5x+\dfrac{2}{3}y=0,6\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=0,8\\y=0,3\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,8.24=19,2\left(g\right)\\m_{Fe}=0,3.56=16,8\left(g\right)\end{matrix}\right.\\ m_r=m_{MgO}+m_{Fe_3O_4}=0,8.40+\dfrac{1}{3}.0,3.232=55,2\left(g\right)\)

PTHH: 

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

Theo đề: \(m_{hh}=39\left(g\right)\)

\(\Rightarrow m_{Al}+m_{Fe}=39\\ \Rightarrow27x+56y=39\left(1\right)\)

\(PTHH:4Al+3O_2\underrightarrow{t^o}2Al_2O_3\\ \left(mol\right)....x\rightarrow..0.75x....0,5x\\ PTHH:3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\\ \left(mol\right)....y\rightarrow..\dfrac{2}{3}y.....\dfrac{1}{3}y\)

Theo đề: \(n_{O_2}=\dfrac{V}{22,4}=\dfrac{12,32}{22,4}=0,55\left(mol\right)\)

\(\Rightarrow0,75x+\dfrac{2}{3}y=0,55\left(2\right)\)

\(\xrightarrow[\left(1\right)]{\left(2\right)}\left\{{}\begin{matrix}27x+56y=39\\0,75x+\dfrac{2}{3}y=0,55\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,6\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Fe}=0,6.56=33,6\left(g\right)\end{matrix}\right.\\ m_r=m_{Al_2O_3}+m_{Fe_3O_4}=0,5.0,2.102+\dfrac{1}{3}.0,6.232=56,6\left(g\right)\)

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

     a          2a      a

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

  b          3b       2b

b. \(n_{O_2}=\dfrac{25.88}{22.4}=1.155mol\)

n hỗn hợp khí \(=\dfrac{11.2}{22.4}=0.5mol\)

Ta có: \(\left\{{}\begin{matrix}a+b=0.5\\2a+3b=1.155\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.345\\b=0.155\end{matrix}\right.\)

\(\%V_{CH_4}=\dfrac{0.345\times22.4\times100}{11.2}=69\%\)

\(\%V_{C_2H_4}=100-69=31\%\)

c. \(V_{CO_2}=\left(a+2b\right)\times22.4=\left(0.345+2\times0.155\right)\times22.4=14.672l\)

a, \(Zn+2CH_3COOH\rightarrow\left(CH_3COO\right)_2Zn+H_2\)

\(ZnO+2CH_3COOH\rightarrow\left(CH_3COO\right)_2Zn+H_2O\)

b, Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

Theo PT: \(n_{Zn}=n_{H_2}=0,1\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,1.65}{14,6}.100\%\approx44,52\%\\\%m_{ZnO}\approx55,48\%\end{matrix}\right.\)

c, Ta có: \(n_{ZnO}=\dfrac{14,6-0,1.65}{81}=0,1\left(mol\right)\)

Theo PT: \(n_{CH_3COOH}=2n_{Zn}+2n_{ZnO}=0,4\left(mol\right)\)

PT: \(C_2H_5OH+O_2\underrightarrow{^{mengiam}}CH_3COOH+H_2O\)

Theo PT: \(n_{C_2H_5OH\left(LT\right)}=n_{CH_3COOH}=0,4\left(mol\right)\)

Mà: H = 80%

\(\Rightarrow n_{C_2H_5OH\left(TT\right)}=\dfrac{0,4}{80\%}=0,5\left(mol\right)\)

\(\Rightarrow m_{C_2H_5OH\left(TT\right)}=0,5.46=23\left(g\right)\)

\(\Rightarrow V_{C_2H_5OH}=\dfrac{23}{0,8}=28,75\left(ml\right)\)

\(\Rightarrow V_{C_2H_5OH\left(18,4^o\right)}=\dfrac{28,75}{18,4}.100=156,25\left(ml\right)=0,15625\left(l\right)\)

a, \(C+O_2\underrightarrow{t^o}CO_2\)

\(S+O_2\underrightarrow{t^o}SO_2\)

b, Ta có: 12n_C + 32n_S = 2,8 (1)

Theo PT: \(n_{O_2}=n_C+n_S=\dfrac{3,36}{22,4}=0,15\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_C=0,1\left(mol\right)\\n_S=0,05\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_C=\dfrac{0,1.12}{2,8}.100\%\approx42,86\%\\\%m_S\approx57,14\%\end{matrix}\right.\)