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a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
PTHH: 2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Mol: x 1,5x
PTHH: Mg + H2SO4 → MgSO4 + H2
Mol: y y
Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)
b)
PTHH: 2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Mol: 0,1 0,15 0,05
PTHH: Mg + H2SO4 → MgSO4 + H2
Mol: 0,1 0,1 0,1
\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)
mdd sau pứ = 5,1+250-0,15.2 = 254,8(g)
\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)
\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)
\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
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
Fe+2HCl->FeCl2+H2
x---2x-----------x
Mg+2HCl->MgCl2+H2
y------2y-----------y
Ta có :
\(\left\{{}\begin{matrix}56x+24y=24\\x+y=\dfrac{13,44}{22,4}\end{matrix}\right.\)
=>x=0,3 mol, y=0,3 mol
=>%m Fe=\(\dfrac{0,3.56}{24}.100\)=70%
=>%m Mg=100-70=30%
=>VHCl=\(\dfrac{0,3.2+0,3.2}{2}\)=0,6l=600ml
b)
XCl2+2AgNO3->2AgCl+X(NO3)2
0,6--------------------1,2mol
=>m AgCl=1,2.143,5=172,2g
Gọi số mol Al, Fe là a, b (mol)
=> 27a + 56b = 11,1 (1)
\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PTHH: 2Al + 6HCl --> 2AlCl3 + 3H2
a----------------------->1,5a
Fe + 2HCl --> FeCl2 + H2
b------------------------>b
=> 1,5a + b = 0,3 (2)
(1)(2) => a = 0,1; b = 0,15
=> \(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,1.27}{11,1}.100\%=24,32\%\\\%m_{Fe}=\dfrac{0,15.56}{11,1}.100\%=75,68\end{matrix}\right.\)
\(n_{H_2} = \dfrac{6,72}{22,4} = 0,3(mol)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\)
\(\left\{{}\begin{matrix}Mg:x\left(mol\right)\\Al:y\left(mol\right)\end{matrix}\right.\)→ \(\left\{{}\begin{matrix}24x+27y=6,3\\x+1,5y=0,3\end{matrix}\right.\)→ \(\left\{{}\begin{matrix}x=0,15\\y=0,1\end{matrix}\right.\)
Vậy :
\(\%m_{Mg} = \dfrac{0,15.24}{6,3}.100\% = 57,14\%\)