Gọi \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\x_{Ca}=y\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}24x+40y=17,6\\x=2y\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,4\\y=0,2\end{matrix}\right.\)

a)\(m_{Mg}=0,4\cdot24=9,6g\)

   \(m_{Ca}=0,2\cdot40=8g\)

b)\(2Mg+O_2\underrightarrow{t^o}2MgO\)

   \(2Ca+O_2\underrightarrow{t^o}2CaO\)

Từ hai pt: \(\Rightarrow\Sigma n_{O_2}=\dfrac{1}{2}n_{Mg}+\dfrac{1}{2}n_{Ca}=\dfrac{1}{2}\cdot0,4+\dfrac{1}{2}\cdot0,2=0,3mol\)

\(\Rightarrow m_{O_2}=0,3\cdot32=9,6g\)

\(V_{O_2}=0,3\cdot22,4=6,72l\)

\(\Rightarrow V_{kk}=5V_{O_2}=5\cdot6,72=33,6l\)

a) 

Có \(\left\{{}\begin{matrix}24.n_{Mg}+40.n_{Ca}=17,6\\n_{Mg}=2.n_{Ca}\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}n_{Ca}=0,2\left(mol\right)\\n_{Mg}=0,4\left(mol\right)\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}m_{Ca}=0,2.40=8\left(g\right)\\m_{Mg}=0,4.24=9,6\left(g\right)\end{matrix}\right.\)

b)

PTHH: 2Ca + O₂ --t^o--> 2CaO 

            0,2-->0,1

             2Mg + O₂ --t^o--> 2MgO

            0,4--->0,2

=> \(V_{O_2}=\left(0,1+0,2\right).22,4=6,72\left(l\right)\)

\(V_{kk}=6,72.5=33,6\left(l\right)\)

a. Ag không phản ứng nên ta có PTHH: \(2Mg+O_2\rightarrow^{t^o}2MgO\)

\(\rightarrow m_{O_2}=m_{hh}-m_{\mu\text{ối}}=18,8-15,6=3,2g\)

\(\rightarrow n_{O_2}=\frac{3,2}{32}=0,1mol\)

b. \(\rightarrow V_{O_2}=n.22,4=22,4.0,1=2,24l\)

\(\rightarrow V_{kk}=4,48.5=11,2l\)

c. Có \(n_{Mg}=2n_{O_2}=0,2l\)

\(\rightarrow m_{Mg}=0,2.24=4,8g\)

\(\rightarrow\%m_{Mg}=\frac{4,8.100}{15,6}\approx30,77\%\)

\(\rightarrow\%m_{Ag}=100\%-30,77\%=69,23\%\)

Gọi số mol Al, Mg là a, b (mol)

=> 27a + 24b = 12,6 (1)

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

PTHH: 4Al + 3O₂ --t^o--> 2Al₂O₃

              a-->0,75a

            2Mg + O₂ --t^o--> 2MgO

              b-->0,5b

=> 0,75a + 0,5b = 0,3 (2)

(1)(2) => a = 0,2 (mol); b = 0,3 (mol)

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{12,6}.100\%=42,86\%\\\%m_{Mg}=\dfrac{0,3.24}{12,6}.100\%=57,14\%\end{matrix}\right.\)

4Al (x mol) + 3O₂ (0,75x mol) \(\underrightarrow{t^o}\) 2Al₂O₃.

2Mg (y mol) + O₂ (0,5y mol) \(\underrightarrow{t^o}\) 2MgO.

Gọi x (mol) và y (mol) lần lượt là số mol của Al và Mg.

Số mol khí oxi cần dùng là 6,72:22,4=0,3 (mol)

Ta có: 27x+24y=12,6 (1).

Lại có: 0,75x+0,5y=0,3 (2).

Giải hệ phương trình gồm (1) và (2), ta suy ra x=0,2 (mol) và y=0,3 (mol).

%m_Al=0,2.27/12,6\(\approx\)42,86%, %m_Mg=0,3.24/12,6\(\approx\)57,14%.

Gọi số mol Al, Na trong a gam hỗn hợp là x, y (mol)

=> 27x + 23y = a (1)

PTHH: 4Al + 3O₂ --t^o--> 2Al₂O₃

             x---------------->0,5x

            4Na + O₂ --t^o--> 2Na₂O

              y---------------->0,5y

=> 102.0,5x + 62.0,5y = 1,64.a

=> 51x + 31y = 1,64a (2)

(1)(2) => 51x + 31y = 1,64(27x + 23y)

=> 6,72x = 6,72y

=> x = y

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{27x}{27x+23y}.100\%=54\%\\\%m_{Na}=\dfrac{23y}{27x+23y}.100\%=46\%\end{matrix}\right.\)

a)

CH₄ + 2O₂ --t^o--> CO₂ + 2H₂O

2C₂H₂ + 5O₂ --t^o--> 4CO₂ + 2H₂O

b) \(n_{CO_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

Gọi số mol CH₄, C₂H₂ là a, b (mol)

=> \(\left\{{}\begin{matrix}a+2b=0,3\\16a+26b=4,2\end{matrix}\right.\) 

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

=> \(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{16.0,1}{4,2}.100\%=38,095\%\\\%m_{C_2H_2}=\dfrac{26.0,1}{4,2}.100\%=61,905\%\end{matrix}\right.\)

Phản ứng xảy ra:

\(2Mg+O_2\rightarrow^{t^o}=2MgO\)

\(4Al+3O_2\rightarrow^{t^o}2Al_2O_3\)

Gọi số mol của Mg là x; số mol của Al là y

\(\rightarrow m_{hh}=m_{Mg}+m_{Al}=24x+2yy=17,4g\)

Có:

\(n_{MgO}=n_{Mg}=x\)

\(n_{Al_2O_3}=\frac{1}{2}n_{Al}=0,5y\)

\(\rightarrow m_Y=40x+102.0,5y=30,2g\)

\(\rightarrow\hept{\begin{cases}x=0,5\\y=0,2\end{cases}}\)

\(\rightarrow n_{MgO}=n_{Mg}=0,5mol\)

\(\rightarrow m_{MgO}=0,5.40=20g\)

a) PTHH: 2Al + 6 HCl -> 2 AlCl3 + 3 H2

x___________3x______________1,5x(mol)

Fe +2 HCl -> FeCl2 + H2

y___2y____y______y(mol)

b) Ta có: m(rắn)= mCu=0,4(g)

=> m(Al, Fe)=1,5-mCu=1,5-0,4=1,1(g)

nH2= 0,04(mol)

Ta lập hpt:

\(\left\{{}\begin{matrix}27x+56y=1,1\\1,5x+y=0,04\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,02\\y=0,01\end{matrix}\right.\)

=> mAl=27.0,02=0,54(g)

mFe=56.0,01=0,56(g)

\(m_{tăng}=m_{O_2}=7.2\left(g\right)\)

\(n_{O_2}=\dfrac{7.2}{32}=0.225\left(mol\right)\)

\(V_{kk}=5V_{O_2}=5\cdot0.225\cdot22.4=25.2\left(l\right)\)

\(Đặt:n_{Mg}a\left(mol\right),n_{Cu}=b\left(mol\right),n_{Al}=c\left(mol\right)\)

\(Mg+\dfrac{1}{2}O_2\underrightarrow{t^0}MgO\)

\(Cu+\dfrac{1}{2}O_2\underrightarrow{t^0}CuO\)

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

\(TC:n_{O_2}=0.5a=0.5b=0.75c=\dfrac{0.225}{3}=0.075\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}a=0.15\\b=0.15\\c=0.1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0.15\cdot24=3.6\left(g\right)\\m_{Cu}=0.15\cdot64=9.6\left(g\right)\\m_{Al}=0.1\cdot27=2.7\left(g\right)\end{matrix}\right.\)