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\(n_{Fe} = a(mol) ; n_M = b(mol)\\ \Rightarrow 56a + Mb = 12\)
\(Fe + 2HCl \to FeCl_2 + H_2\\ M + 2HCl \to MCl_2 + H_2\\ n_{H_2} = a + b = \dfrac{4,48}{22,4} = 0,2(mol)\\ \Rightarrow a = 0,2 - b ( 0< b < 0,2)\)
Suy ra:
56(0,2 - b) + Mb = 12
\(\Rightarrow M = \dfrac{0,8 + 56b}{b}\)
Vì 0 < b < 0,12
Nên M > 62,67(1)
Mặt khác,
\(n_M > \dfrac{1}{2}n_{HCl} = 0,35\\ \Rightarrow M < \dfrac{23,8}{0,35} = 68(2)\)
Từ (1)(2) suy ra: 62,67 < M < 68
Do đó, M = 65(Zn) thì thỏa mãn
Vậy M là Zn(Kẽm)
a, PT: \(Zn+2HCl\rightarrow ZnCl_2+H_2\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
Gọi: \(\left\{{}\begin{matrix}n_{Zn}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\) ⇒ 65x + 27y = 17,05 (1)
Ta có: \(n_{H_2}=\dfrac{9,52}{22,4}=0,425\left(mol\right)\)
Theo PT: \(n_{H_2}=n_{Zn}+\dfrac{3}{2}n_{Al}=x+\dfrac{3}{2}y=0,425\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Zn}=0,2\left(mol\right)\\n_{Al}=0,15\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Zn}=0,2.65=13\left(g\right)\\m_{Al}=0,15.27=4,05\left(g\right)\end{matrix}\right.\)
b, Theo PT: \(\left\{{}\begin{matrix}n_{ZnCl_2}=n_{Zn}=0,2\left(mol\right)\\n_{AlCl_3}=n_{Al}=0,15\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}C_{M_{ZnCl_2}}=\dfrac{0,2}{0,5}=0,4\left(M\right)\\C_{M_{AlCl_3}}=\dfrac{0,15}{0,5}=0,3\left(M\right)\end{matrix}\right.\)
c, Ta có: m dd HCl = 1,05.500 = 525 (g)
m dd sau pư = mhh + m dd HCl - mH2 = 541,2 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{ZnCl_2}=\dfrac{0,2.136}{541,2}.100\%\approx5,03\%\\C\%_{AlCl_3}=\dfrac{0,15.133,5}{541,2}.100\%\approx3,7\%\end{matrix}\right.\)
a) Do dd sau pư có 3 chát tan với nồng độ % bằng nhau
=> \(m_{Al_2\left(SO_4\right)_3}=m_{ZnSO_4}=m_{H_2SO_4\left(dư\right)}\)
Gọi số mol Al, Zn là a, b (mol)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
a----->1,5a------->0,5a----->1,5a
Zn + H2SO4 --> ZnSO4 + H2
b----->b--------->b----->b
=> \(\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=342.0,5a=171a\left(g\right)\\m_{ZnSO_4}=161b\left(g\right)\end{matrix}\right.\)
=> 171a = 161b
=> \(\dfrac{a}{b}=\dfrac{161}{171}\) (1)
Có: \(\dfrac{m_{Al}}{m_{Zn}}=\dfrac{27.n_{Al}}{65.n_{Zn}}=\dfrac{27}{65}.\dfrac{161}{171}=\dfrac{483}{1235}\)
b) \(n_{H_2}=1,5a+b=\dfrac{11,2}{22,4}=0,5\left(mol\right)\) (2)
(1)(2) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
a) Do dd sau pư có 3 chát tan với nồng độ % bằng nhau
=> \(m_{Al_2\left(SO_4\right)_3}=m_{ZnSO_4}=m_{H_2SO_4\left(dư\right)}\)
Gọi số mol Al, Zn là a, b (mol)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
a----->1,5a------->0,5a----->1,5a
Zn + H2SO4 --> ZnSO4 + H2
b----->b--------->b----->b
=> \(\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=342.0,5a=171a\left(g\right)\\m_{ZnSO_4}=161b\left(g\right)\end{matrix}\right.\)
=> 171a = 161b
=> \(\dfrac{a}{b}=\dfrac{161}{171}\) (1)
Có: \(\dfrac{m_{Al}}{m_{Zn}}=\dfrac{27.n_{Al}}{65.n_{Zn}}=\dfrac{27}{65}.\dfrac{161}{171}=\dfrac{483}{1235}\)
b) \(n_{H_2}=1,5a+b=\dfrac{11,2}{22,4}=0,5\left(mol\right)\) (2)
(1)(2) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
PTHH: \(2M+2xHCl\rightarrow2MCl_x+xH_2\uparrow\) (x là hóa trị của M)
Tính theo sản phẩm
Ta có: \(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
\(\Rightarrow n_M=\dfrac{0,4}{x}\left(mol\right)\) \(\Rightarrow M=\dfrac{4,8}{\dfrac{0,4}{x}}=12x\)
Ta thấy với \(x=2\) thì \(M=24\) (Magie)
Mặt khác: \(n_{HCl}=\dfrac{50\cdot36,5\%}{36,5}=0,5\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}n_{MgCl_2}=n_{H_2}=0,2\left(mol\right)\\n_{HCl\left(dư\right)}=0,1\left(mol\right)\end{matrix}\right.\)
Ta lại có: \(m_{dd\left(sau.p/ứ\right)}=m_{Mg}+m_{ddHCl}-m_{H_2}=4,8+50-0,2\cdot2=54,4\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{MgCl_2}=\dfrac{0,2\cdot95}{54,4}\cdot100\%\approx34,93\%\\C\%_{HCl\left(dư\right)}=\dfrac{0,1\cdot36,5}{54,4}\cdot100\%\approx6,71\%\end{matrix}\right.\)
nH2 = 1,344 : 22,4 = 0,06(mol)
pthh 2M+ 3H2SO4 ---> M2(SO4)3+ 3H2
0,04<-- 0,06---------------------------0,06(mol)
M M = 1,08 : 0,04 = 27 (g/mol )
=> M : Al
mH2SO4 = 0,06.98 =5,88 (g)
nH2 = 1,344/22,4 = 0,06 (mol)
PTHH:
2M + 3H2SO4 -> Al2(SO4)3 + 3H2
0,04 <--- 0,06 <--- 0,02 <--- 0,06
M(M) = 1,08/0,04 = 27 (g/mol(
=> M là Al
mH2SO4 = 0,06 . 98 = 5,88 (g)
\(n_{Fe}=\dfrac{11,2}{56}=0,2mol\)
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
0,2 0,2 0,2 0,2
a)\(V_{H_2}=0,2\cdot22,4=4,48l\)
b)\(C_{M_{H_2SO_4}}=\dfrac{0,2}{0,5}=0,4M\)
c)\(C_{M_{FeSO_4}}=\dfrac{0,2}{0,5}=0,4M\)
\(n_{Fe}=\dfrac{11,2}{56}=0,2\left(mol\right)\)
pthh : \(Fe+H_2SO_4->FeSO_4+H_2\)
0,2 0,2
=> \(V_{H_2}=0,2.22,4=4,48\left(L\right)\)
\(m_{H_2SO_4}=\dfrac{0,5}{22,4}.98\approx2,188\left(g\right)\)
=> mdd=11,2+2,188=13,388(g)
C%=\(\dfrac{2,188}{13,388}.100\%=16,3\%\)
a, Ta có: \(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PT: \(M+H_2SO_4\rightarrow MSO_4+H_2\)
Theo PT: \(n_M=n_{H_2}=0,2\left(mol\right)\)
\(\Rightarrow M_M=\dfrac{11,2}{0,2}=56\left(g/mol\right)\)
→ M là Fe.
b, Theo PT: \(n_{FeSO_4}=n_{H_2SO_4\left(pư\right)}=n_{H_2}=0,2\left(mol\right)\)
⇒ nH2SO4 dư = 0,5.1 - 0,2 = 0,3 (mol)
\(\Rightarrow\left\{{}\begin{matrix}C_{M_{H_2SO_4\left(dư\right)}}=\dfrac{0,3}{0,5}=0,6\left(M\right)\\C_{M_{FeSO_4}}=\dfrac{0,2}{0,5}=0,4\left(M\right)\end{matrix}\right.\)
c, Ta có: \(n_{FeSO_4.7H_2O}=n_{FeSO_4}=0,2\left(mol\right)\)
\(\Rightarrow m_{FeSO_4.7H_2O}=0,2.278=55,6\left(g\right)\)