\(n_k=n_{H_2}=0,125\left(mol\right)\)

a,b, \(PTHH:Fe+H_2SO_4\rightarrow FeSO_4+H_2\)

.............0,125...0,125....................0,125...

\(\Rightarrow m_{Fe}=7\left(g\right)\)

Do Cu không phản ứng với H₂SO₄ .

\(\Rightarrow m_{Cu}=m_{hh}-m_{Fe}=10-7=3\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%Fe=70\%\\\%Cu=30\%\end{matrix}\right.\)

c, Có : \(m_{dd}=m_{Fe}+m_{ddH_2SO_4}-m_{H_2}=206,75\left(g\right)\)

\(\Rightarrow C\%=\dfrac{m_{H_2SO_4}}{m_{dd}}.100\%\approx5,925\%\)

Đặt: \(\left\{{}\begin{matrix}x=n_{Fe}\left(mol\right)\\y=n_{Al}\left(mol\right)\end{matrix}\right.\)

\(\sum m_{hh}=11\left(g\right)\Rightarrow56x+27y=11\left(1\right)\)

\(PTHH:Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\\ \left(mol\right)....x\rightarrow..2x........x......x\\ PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\\ \left(mol\right)....y\rightarrow..3y.........y......1,5y\)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\\ \Rightarrow x+1,5y=0,4\left(2\right)\)

\(\xrightarrow[\left(2\right)]{\left(1\right)}\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)

a) \(\%m_{Fe}=\dfrac{56.0,1}{11}=51\%\)

\(\rightarrow\%m_{Al}=49\%\)

b) \(\sum m_{ctHCl}=\left(2.0,1+3.0,2\right).36,5=29,2\left(g\right)\)

\(m_{ddHCl}=\dfrac{29,2.100\%}{10\%}=292\left(g\right)\)

c) \(m_{H_2\uparrow}=\left(1.0,1+1,5.0,2\right).2=0,8\left(g\right)\)

\(m_{ddsaupu}=m_{hh}+m_{ddHCl}-m_{H_2\uparrow}=11+292-0,8=302,2\left(g\right)\)

\(C\%_{FeCl_2}=\dfrac{0,1.127}{302,2}.100=4,2\%\\ C\%_{AlCl_3}=\dfrac{0,2.133,5}{302,2}.100=8,8\%\)

Đặt: {x=nFe(mol)y=nAl(mol){x=nFe(mol)y=nAl(mol)

∑mhh=11(g)⇒56x+27y=11(1)∑mhh=11(g)⇒56x+27y=11(1)

%mFe=56.0,111=51%%mFe=56.0,111=51%

→%mAl=49%→%mAl=49%

b) ∑mctHCl=(2.0,1+3.0,2).36,5=29,2(g)∑mctHCl=(2.0,1+3.0,2).36,5=29,2(g)

\(a,n_{H_2}=\dfrac{6,72}{22,4}=0,3(mol)\\ 2Al+6HCl\to 2AlCl_3+3H_2\\ \Rightarrow n_{Al}=0,2(mol)\\ \Rightarrow m_{Al}=0,2.27=5,4(g)\\ b,m_{hh}=5,4+12,8=18,2(g)\\ c,n_{HCl}=0,6(mol)\\ \Rightarrow C_{M_{HCl}}=\dfrac{0,6}{0,3}=2M\)

a) \(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

_____0,2<----0,6<---------------0,3

=> m_Al = 0,2.27 = 5,4(g)

b) m_hh = 5,4 + 12,8 = 18,2(g)

c) \(C_{M\left(HCl\right)}=\dfrac{0,6}{0,3}=2M\)

\(a,Đặt:n_{Mg}=g\left(mol\right);n_{Fe}=j\left(mol\right)\left(g,j>0\right)\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ Mg+2HCl\rightarrow MgCl_2+H_2\\ \Rightarrow\left\{{}\begin{matrix}24g=56j=9,2\\22,4g+22,4j=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}g=0,15\\j=0,1\end{matrix}\right.\\ \Rightarrow\%m_{Mg}=\dfrac{0,15.24}{9,2}.100\approx39,13\%\\ \Rightarrow\%m_{Fe}\approx60,87\%\\ b,n_{HCl}=2n_{H_2}=\dfrac{2.5,6}{22,4}=0,5\left(mol\right)\\ \Rightarrow C_{MddHCl}=\dfrac{0,5}{0,2}=2,5\left(M\right)\\ c,m_{muối}=m_{FeCl_2}+m_{MgCl_2}=95g+127j=95.0,15+127.0,1=26,95\left(g\right)\)

Fe+2HCl->FeCl₂+H₂

x-----------------------x mol

Mg+2HCl->MgCl₂+H₂

y-------------------------y mol

ta có\(\left\{{}\begin{matrix}56x+24y=9,2\\x+y=0,25\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x=0,1\\y=0,15\end{matrix}\right.\)

=>%m_Fe=\(\dfrac{0,1.56}{9,2}.100\)=60,87%

=>%m _Mg=39,13%

Ta có : n _HCl=0,1.2+0,15.2=0,5 mol

=>CM_HCl=\(\dfrac{0,5}{0,2}\)=2,5M

=>m _muối =0,1.127+0,15.95=26,95g

n Al = a(mol) ; n Fe = b(mol)

=> 27a + 56b = 20,65(1)

2Al + 3H2SO4 → Al2(SO4)3 + 3H2

a...........1,5a............0,5a............1.5a..(mol)

Fe + H2SO4 → FeSO4 + H2

b...........b..............b............b......(mol)

=> n H2 = 1,5a + b = 0,725(2)

Từ 1,2 suy ra a = 0,35 ; b = 0,2

Suy ra :

%m Al = 0,35.27/20,65  .100% = 45,76%
%m Fe = 100% -45,76% = 54,24%

m H2SO4 = (1,5a + b).98 = 71,05 gam

m muối = m kim loại + m H2SO4 -m H2 = 20,65 + 71,05 -0,725.2 = 90,25 gam

\(n_{Fe} = a(mol) ; n_{Mg} = b(mol)\\ \Rightarrow 56a + 24b = 16,8 - 6,4 = 10,4(1)\\ Fe + 2HCl \to FeCl_2 + H_2\\ Mg + 2HCl \to MgCl_2 + H_2\\ n_{H_2} = a + b = \dfrac{6,72}{22,4} = 0,3(2)\)

Từ (1)(2) suy ra: a = 0,1 ; b = 0,2

Vậy :

\(\%m_{Fe} = \dfrac{0,1.56}{16,8}.100\% = 33,33\%\\ \%m_{Mg} = \dfrac{0,2.24}{16,8}.100\% = 28,57\%\\ \%m_{Cu} = 100\% - 33,33\% - 28,57\% = 38,1\%\)