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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)
\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)
\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)
Bài 3 :
a) $Mg + H_2SO_4 \to MgSO_4 + H_2$
$n_{Mg} = n_{H_2} = \dfrac{3,36}{22,4} = 0,15(mol)$
$\%m_{Mg} = \dfrac{0,15.24}{13,2}.100\% = 27,27\%$
$\%m_{Cu} = 100\% -27,27\% = 72,73\%$
b) $n_{Cu} = \dfrac{13,2 - 0,15.24}{64}= 0,15(mol)$
$\Rightarrow m_{muối} = 0,15.120 + 0,15.160= 42(gam)$
Bài 4 :
Gọi $n_{Fe} = a(mol) ; n_{Mg} = b(mol)$
$56a + 24b = 18,4(1)$
$Fe + 2HCl \to FeCl_2 + H_2$
$Mg + 2HCl \to MgCl_2 + H_2$
Theo PTHH : $n_{H_2} = a + b = \dfrac{11,2}{22,4} = 0,5(2)$
Từ (1)(2) suy ra a = 0,2 ; b = 0,3
$\%m_{Fe} = \dfrac{0,2.56}{18,4}.100\% = 60,87\%$
$\%m_{Mg} = 100\% -60,87\% = 39,13\%$
b) $n_{HCl} = 2n_{H_2} = 1(mol)$
$V_{dd\ HCl} = \dfrac{1}{0,8}= 1,25(lít)$
\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
\(a,PTHH:Zn+2HCl\to ZnCl_2+H_2\\ \Rightarrow n_{Zn}=n_{H_2}=\dfrac{3,7185}{24,79}=0.,15(mol)\\ \Rightarrow m_{Zn}=0,15.65=9,75(g)\\ \Rightarrow \%_{Zn}=\dfrac{9,75}{10}.100\%=97,5\%\\ \Rightarrow \%_{Cu}=100\%-97,5\%=2,5\%\\ b,n_{HCl}=2n_{H_2}=0,3(mol)\\ \Rightarrow m_{dd_{HCl}}=\dfrac{0,3.36,5}{14\%}=78,21(g)\)
\(a,n_{H_2}=\dfrac{7,437}{24,79}=0,3(mol)\\ PTHH:Mg+2HCl\to MgCl_2+H_2\\ \Rightarrow n_{HCl}=2n_{H_2}=0,6(mol)\\ \Rightarrow m_{CT_{HCl}}=0,6.36,5=21,9(g)\\ \Rightarrow m_{dd_{HCl}}=\dfrac{21,9}{28\%}=78,21(g)\\ b,n_{Mg}=n_{H_2}=0,3(mol)\\ \Rightarrow m_{Mg}=0,3.24=7,2(g)\\ \Rightarrow {\%}_{Mg}=\dfrac{7,2}{18}.100{\%}=40\%\\ \Rightarrow {\%}_{Ag}=60\%\)
\(n_{Fe} = a(mol) ; n_{Mg} = b(mol)\\ \Rightarrow 56a + 24b = 16,8 - 6,4 = 10,4(1)\\ Fe + 2HCl \to FeCl_2 + H_2\\ Mg + 2HCl \to MgCl_2 + H_2\\ n_{H_2} = a + b = \dfrac{6,72}{22,4} = 0,3(2)\)
Từ (1)(2) suy ra: a = 0,1 ; b = 0,2
Vậy :
\(\%m_{Fe} = \dfrac{0,1.56}{16,8}.100\% = 33,33\%\\ \%m_{Mg} = \dfrac{0,2.24}{16,8}.100\% = 28,57\%\\ \%m_{Cu} = 100\% - 33,33\% - 28,57\% = 38,1\%\)
\(n_{H_2}=\dfrac{V_{H_2}}{22,4}=\dfrac{20,16}{22,4}=0,9mol\)
Gọi \(\left\{{}\begin{matrix}n_{Al}=x\\n_{Mg}=y\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Al}=27x\\m_{Mg}=24y\end{matrix}\right.\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
x \(\dfrac{3}{2}x\) ( mol )
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
y y ( mol )
Ta có:
\(\left\{{}\begin{matrix}27x+24y=19,8\\\dfrac{3}{2}x+y=0,9\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,6\end{matrix}\right.\)
\(\Rightarrow m_{Al}=0,2.27=5,4g\)
\(\Rightarrow m_{Mg}=0,6.24=14,4g\)
\(\%m_{Al}=\dfrac{5,4}{19,8}.100=27,27\%\)
\(\%m_{Mg}=100\%-27,27\%=72,73\%\)
\(n_{H_2}\)= \(\dfrac{0,756}{24,79}\) = 0,0305 mol
PTHH:
Mg + 2HCl → MgCl2 + H2
Al + 3HCl → AlCl3 + \(\dfrac{3}{2}\)H2
Gọi số mol của Mg và Al lần lượt là x và y.
Ta có hệ phương trình
\(\left\{{}\begin{matrix}24x+27y=0,615\\x+1,5y=0,0305\end{matrix}\right.\)↔\(\left\{{}\begin{matrix}x=0,011\\y=0,013\end{matrix}\right.\)
⇒ mMg = 0,11 . 24 = 0,264 gam
⇒ %Mg = \(\dfrac{0,264}{0,615}\) . 100 = 43%
Phần trăm khối lượng của Mg trong hỗn hợp là 58,54%.