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Đặt x,y, z lần lượt là số mol của Na,Al,Mg trong m gam hỗn hợp A
m gam A + H2O dư
\(Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\)
x--------------------x--------->0,5x
2Al + 2NaOH + 2H2O → 2NaAlO2 + 3H2
x<------x-------------------------------------->1,5x
=> \(0,5x+1,5x=\dfrac{2,24}{22,4}=0,1\left(mol\right)\) (1)
2m gam A + NaOH
\(Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\)
2x------------------------------->x
2Al + 2NaOH + 2H2O → 2NaAlO2 + 3H2
2y---------------------------------------------->3y
=> \(x+3y=\dfrac{8,96}{22,4}=0,4\left(mol\right)\) (2)
3m gam A + HCl
\(Na+HCl\rightarrow NaCl+\dfrac{1}{2}H_2\)
3x--------------------------->1,5x
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
3y----------------------------->4,5y
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
3z----------------------------->3z
=> \(1,5x+4,5y+3z=\dfrac{22,4}{22,4}=1\left(mol\right)\) (3)
Từ (1), (2), (3) =>\(\left\{{}\begin{matrix}x=0,05\\y=\dfrac{7}{60}\\z=\dfrac{2}{15}\end{matrix}\right.\)
=> \(m_{Na}=0,05.23=1,15\left(g\right)\)
\(m_{Al}=\dfrac{7}{60}.27=3,15\left(g\right)\)
\(m_{Mg}=\dfrac{2}{15}.24=3,2\left(g\right)\)
=> \(m=1,15+3,15+3,2=7,5\left(g\right)\)
=> \(\%m_{Na}=\dfrac{1,15}{7,5}.100=15,33\%\)
\(\%m_{Al}=\dfrac{3,15}{7,5}.100=42\%\)
\(\%m_{Mg}=\dfrac{3,2}{7,5}.100=42,67\%\)
\(2Na+2H2O\rightarrow2NaOH+H2\left(1\right)\)
\(2Al+2NaOH+2H2O\rightarrow2NaAlO2+3H2\left(2\right)\)
\(2Al+6HCl\rightarrow2AlCl3+3H2\left(3\right)\)
\(2Na+2HCl\rightarrow2NaCl+H2\left(4\right)\)
\(Mg+2HCl\rightarrow MgCl2+H2\left(5\right)\)
\(n_{H2\left(1\right)}=0,1\left(mol\right)\rightarrow n_{Na}=0,2\left(mol\right)\rightarrow m_{Na}=4,6\left(g\right)\)
\(n_{H2\left(2\right)}=0,4\left(mol\right)\Rightarrow n_{Al}=\dfrac{4}{15}\left(mol\right)\Rightarrow m_{Al}=7,2\left(g\right)\)
\(\Rightarrow n_{H2\left(3\right)}=\dfrac{3}{2}n_{Al}=0,4\left(mol\right)\)
\(n_{H2\left(4\right)}=\dfrac{1}{2}n_{Na}=0,1\left(mol\right)\)
\(\Rightarrow n_{H2\left(5\right)}=1-0,4-0,1=0,5\left(mol\right)\)
\(\Rightarrow n_{Mg}=0,5\left(mol\right)\Rightarrow m_{Mg}=12\left(g\right)\)
\(\Rightarrow m=12+4,6+7,2=23,8\left(g\right)\)
\(\%m_{Na}=\dfrac{4,6}{23,8}.100\%=19,33\%\)
\(\%m_{Al}=\dfrac{7,2}{23,8}.100\%=30,25\%\)
\(\%m_{Mg}=100-19,33-30,25=50,42\%\)
Chúc bạn học tốt
\(n_{Cu} = a ; n_{Al} = b ; n_{Fe} = c(mol)\\ \Rightarrow 64a + 27b + 56c = 28,6(1)\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = 1,5b + c = \dfrac{13,44}{22,4} = 0,6(2)\\ \text{Mặt khác} : n_{O_2} = \dfrac{8,96}{22,4} = 0,4(mol)\\ 2Cu + O_2 \xrightarrow{t^o} 2CuO\\ 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ 4Fe + 3O_2 \xrightarrow{t^o} 2Fe_2O_3\\ \)
Ta có :
\(\dfrac{n_X}{n_{O_2}}=\dfrac{a+b+c}{0,5a +0,75b + 0,75c} = \dfrac{0,6}{0,4}(3)\\ (1)(2)(3)\Rightarrow a = \dfrac{317}{1460} ; b = \dfrac{121}{365}; c = \dfrac{15}{146}\\ \%m_{Cu} = \dfrac{\dfrac{317}{1460}.64}{28,6}.100\% = 48,59\%\\ \%m_{Al} = \dfrac{\dfrac{121}{365}.27}{28,6}.100\% = 31,3\%\\ \%m_{Fe} = 100\% - 41,59\% - 31,3\% = 27,11\%\)
TN1: (nMg;nAl;nCu) = (a;b;c)
=> 24a + 27b + 64c = 14,2
PTHH: Mg + 2HCl --> MgCl2 + H2
______a---------------------------->a
2Al + 6HCl --> 2AlCl3 + 3H2
b-------------------------->1,5b
=> a + 1,5b = \(\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
TN2: (nMg;nAl;nCu) = (2a;2b;2c)
PTHH: 2Mg + O2 --to--> 2MgO
______2a--->a
4Al + 3O2 --to--> 2Al2O3
2b--->1,5b
2Cu + O2 --to--> 2CuO
2c--->c
=> a + 1,5b + c = \(\dfrac{11,2}{22,4}=0,5\)
=> a=0,1 (mol); b = 0,2 (mol); c = 0,1(mol
=> \(\%Mg=\dfrac{0,1.24}{14,2}.100\%=16,9\%\)
%Mg=(0,1.24):14,2.100%=16,9%.
Sao chỗ này lại chia cho 14,2 mà ko phải là 28,4 vậy ạ