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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) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
\(n_{Zn} = a(mol) ; n_{Al} = b(mol) ; n_{Mg} = c(mol)\\ \Rightarrow 65a + 27b + 24c = 44,1(1)\\ Zn + 2HCl \to ZnCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3 H_2\\ Mg + 2HCl \to MgCl_2 + H_2\\ n_{H_2} = a + 1,5b + c = \dfrac{31,36}{22,4} = 1,4(2)\\ Mà : 2a = 3b(3)\\ (1)(2)(3) \Rightarrow a = 0,3 ; b = 0,2 ; c = 0,8\\ \%m_{Zn} = \dfrac{0,3.65}{44,1}.100\% = 44,22\%\\ \%m_{Al} = \dfrac{0,2.27}{44,1}.100\% = 12,24\%\)
\(\%m_{Mg} = 100\% -44,22\% -12,24\% = 43,54\%\)
a) 4,4 gam kim loại không tan là Cu
`=> m_{Cu} = 4,4 (g)`
`=> m_{Al} + m_{Mg} = 15,5 - 4,4 = 11,1 (g)`
Gọi \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\)
`=> 27a + 24b = 11,1 (1)`
\(n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)
PTHH:
2Al + 6HCl ---> 2AlCl3 + 3H2
a-------------------------->1,5a
Mg + 2HCl ---> MgCl2 + H2
b-------------------------->b
`=> 1,5a + b = 0,5(2)`
Từ `(1), (2) => a = 0,1; b = 0,35`
b) Đặt CTTQ của oxit kim loại là \(M_xO_y\) (M có hóa trị 2y/x và M có hóa trị n khi phản ứng với HCl)
PTHH:
\(M_xO_y+yH_2\xrightarrow[]{t^o}xM+yH_2O\)
Theo PTHH: \(n_{O\left(\text{ox}it\right)}=n_{H_2}=0,5\left(mol\right)\)
`=>` \(m_M=m_{M_xO_y}-m_{O\left(\text{ox}it\right)}=24,25-0,5.16=16,25\left(g\right)\)
\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
\(2M+2nHCl\rightarrow2MCl_n+nH_2\)
\(\dfrac{0,5}{n}\)<---------------------------0,25
`=>` \(M_M=\dfrac{16,25}{\dfrac{0,5}{n}}=32,5n\left(g/mol\right)\)
Chỉ có n = 2 thỏa mãn `=> M_M = 32,5.2 = 65 (g//mol)`
Vậy kim loại M là kẽm (Zn)
\(a) m_{Cu} = 9,6(gam)\\ n_{Al} = a(mol) ; n_{Fe} = b(mol)\\ \Rightarrow 27a + 56b = 16,55 -9,6 =6,95(1)\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = 1,5a + b = \dfrac{3,92}{22,4} = 0,175(2)\\ (1)(2) \Rightarrow a = 0,05 ; b = 0,1\\ m_{Al} = 0,05.27 = 1,35(gam); n_{Fe} = 0,1.56 = 5,6(gam)\)
\(b) n_{HCl} = 2n_{H_2} = 0,175.2 = 0,35(mol) \Rightarrow m_{HCl} = 0,35.36,5 = 12,775(gam)\)
a, Gọi \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\)
\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PTHH:
2Al + 3H2SO4 ---> Al2(SO4)3 + 3H2
a---->1,5a--------------------------->1,5a
Mg + H2SO4 ---> MgSO4 + H2
b------>b----------------------->b
Hệ pt \(\left\{{}\begin{matrix}27a+24b=6,3\\1,5a+b=0,3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,15\left(mol\right)\end{matrix}\right.\)
\(\rightarrow\left\{{}\begin{matrix}m_{Al}=0,1.27=2,7\left(g\right)\\m_{Mg}=0,15.24=3,6\left(g\right)\end{matrix}\right.\\ \rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{2,7}{6,3}=42,86\%\\\%m_{Mg}=100\%-42,86\%=57,14\%\end{matrix}\right.\)
b, \(n_{H_2SO_4}=0,1.1,5+0,15=0,3\left(mol\right)\)
\(\rightarrow V_{ddH_2SO_4}=\dfrac{0,3}{0,5}=0,6\left(l\right)=600\left(ml\right)\)
c, đề yêu cầu jv?
m chất không tan =m Cu =5 g
=>hh còn lại gồm Al , Zn=15,7g
Zn+H2SO4->ZnSO4+H2
2Al+3H2SO4->Al2(SO4)3+3H2
Ta có hệ :
65x+54y=15,7
x+3y=0,35
=>x=0,2 mol=>mZn=0,2.65=13g
y=0,05 mol=>mAl=0,05.27.2=2,7g