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Gọi số mol Mg, Fe, Al là a, b, c
=> 24a + 56b + 27c = 23,8
PTHH: Mg + 2HCl --> MgCl2 + H2
a------------------------->a
Fe + 2HCl --> FeCl2 + H2
b------------------------->b
2Al + 6HCl --> 2AlCl3 + 3H2
c------------------------->1,5c
=> a + b + 1,5c = \(\dfrac{17,92}{22,4}=0,8\left(mol\right)\)
PTHH: Mg + Cl2 --to--> MgCl2
a-->a
2Fe + 3Cl2 --to--> 2FeCl3
b--->1,5b
2Al + 3Cl2 --to--> 2AlCl3
c--->1,5c
=> \(a+1,5b+1,5c=\dfrac{20,16}{22,4}=0,9\left(mol\right)\)
=> a = 0,3; b = 0,2; c = 0,2
=> \(\left\{{}\begin{matrix}m_{Mg}=0,3.24=7,2\left(g\right)\\m_{Fe}=0,2.56=11,2\left(g\right)\\m_{Al}=0,2.27=5,4\left(g\right)\end{matrix}\right.\)
Sửa: $V_{H_2}=7,168(l)$
$a\bigg)$
Đặt $n_{Mg}=x;n_{Fe}=y;n_{Al}=z$
$\to 24x+56y+27z=9,52(1)$
$n_{H_2}=\dfrac{7,168}{22,4}=0,32(mol)$
$n_{Cl_2}=\dfrac{8,064}{22,4}=0,36(mol)$
BTe: $x+y+1,5z=n_{H_2}=0,32(2)$
BTe: $x+1,5y+1,5z=n_{Cl_2}=0,36(3)$
Từ $(1)(2)(3)\to x=0,12(mol);y=0,08(mol);z=0,08(mol)$
$\to \begin{cases} \%m_{Mg}=\dfrac{0,12.24}{9,52}.100\%=30,25\%\\ \%m_{Fe}=\dfrac{0,08.56}{9,52}.100\%=47,06\%\\ \%m_{Al}=100-47,06-30,25=22,69\% \end{cases}$
$b\bigg)$
Bảo toàn H: $n_{HCl}=2n_{H_2}=0,64(mol)$
$\to C_{M_{HCl}}=\dfrac{0,64}{0,2}=3,2M$
$\to a=3,2$
$c\bigg)$
Dung dịch sau gồm $MgCl_2,FeCl_2,AlCl_3$
Bảo toàn $Mg,Al,Fe:n_{MgCl_2}=0,12(mol);n_{AlCl_3}=n_{FeCl_2}=0,08(mol)$
$\to C_{M_{MgCl_2}}=\dfrac{0,12}{0,2}=0,6M$
$\to C_{M_{AlCl_3}}=C_{M_{FeCl_2}}=\dfrac{0,08}{0,2}=0,4M$
$a\bigg)$
Đặt $n_{Mg}=x;n_{Fe}=y;n_{Al}=z$
$\to 24x+56y+27z=9,52(1)$
$n_{H_2}=\dfrac{14,336}{22,4}=0,64(mol)$
$n_{Cl_2}=\dfrac{8,064}{22,4}=0,36(mol)$
BTe: $x+y+1,5z=n_{H_2}=0,64(2)$
BTe: $x+1,5y+1,5z=n_{Cl_2}=0,36(3)$
Từ $(1)(2)(3)\to$ nghiệm âm, xem lại đề
a)
Gọi \(\left\{{}\begin{matrix}n_{Fe}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\)
=> 56a + 24b = 18,4 (1)
PTHH: Fe + 2HCl --> FeCl2 + H2
a-->2a------>a------>a
Mg + 2HCl --> MgCl2 + H2
b--->2b------->b------>b
=> \(a+b=\dfrac{11,2}{22,4}=0,5\) (2)
(1)(2) => a = 0,2 (mol); b = 0,3 (mol)
\(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,2.56}{18,4}.100\%=60,87\%\\\%m_{Mg}=\dfrac{0,3.24}{18,4}.100\%=39,13\%\end{matrix}\right.\)
b) \(n_{HCl\left(pư\right)}=2a+2b=1\left(mol\right)\)
=> \(n_{HCl\left(tt\right)}=\dfrac{1.125}{100}=1,25\left(mol\right)\)
=> mHCl(tt) = 1,25.36,5 = 45,625 (g)
=> \(a=\dfrac{45,625.100}{18,25}=250\left(g\right)\)
c)
mdd sau pư = 18,4 + 250 - 0,5.2 = 267,4 (g)
\(C\%_{FeCl_2}=\dfrac{0,2.127}{267,4}.100\%=9,5\%\)
\(C\%_{MgCl_2}=\dfrac{0,3.95}{267,4}.100\%=10,66\%\)
a) Gọi số mol Mg, Fe là a, b (mol)
=> 24a + 56b = 11,84
\(n_{HCl}=\dfrac{146.14\%}{36,5}=0,56\left(mol\right)\)
PTHH: Mg + 2HCl --> MgCl2 + H2
a--->2a--------->a----->a
Fe + 2HCl --> FeCl2 + H2
b-->2b-------->b------>b
=> 2a + 2b = 0,56
=> a = 0,12; b = 0,16
=> \(\left\{{}\begin{matrix}\%Mg=\dfrac{0,12.24}{11,84}.100\%=24,324\%\\\%Fe=\dfrac{0,16.56}{11,84}.100\%=75,676\%\end{matrix}\right.\)
b) \(n_{H_2}=a+b=0,28\left(mol\right)\)
=> \(V_{H_2}=0,28.22,4=6,272\left(l\right)\)
c) mdd sau pư = 11,84 + 146 - 0,28.2 = 157,28 (g)
=> \(\left\{{}\begin{matrix}C\%_{MgCl_2}=\dfrac{0,12.95}{157,28}.100\%=7,25\%\\C\%_{FeCl_2}=\dfrac{0,16.127}{157,28}.100\%=12,92\%\end{matrix}\right.\)
Theo gt ta có: $n_{H_2}=0,2(mol)$
Gọi số mol Mg và Fe lần lượt là a;b(mol)
Ta có: $24a+56b=8;2a+2b=0,4$ (Bảo toàn e)
Suy ra $a=b=0,1(mol)$
Do đó $m_{Fe}=5,6(g);m_{Mg}=2,4(g)$