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Gọi \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2mol\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
Theo pt: \(\Rightarrow\left\{{}\begin{matrix}3x+y=0,2\\27x+56y=5,5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{19}{470}\\y=\dfrac{37}{470}\end{matrix}\right.\)
\(\%m_{Al}=\dfrac{\dfrac{19}{470}\cdot27}{5,5}\cdot100\%=19,84\%\)
\(\%m_{Fe}=100\%-19,84\%=80,16\%\)
2Al + 3H2SO4 →Al2(SO4)3 + 3H2 (1)
Zn + H2SO4 →ZnSO4 + H2 (2)
a;nH2=\(\dfrac{8,96}{22,4}\)=0,4(mol)
Đặt nAl=a
nZn=b
Ta có:
\(\left\{{}\begin{matrix}27x+65y=11,9\\1,5x+y=0,4\end{matrix}\right.\)
=>a=0,2;b=0,1
mAl=27.0,2=5,4(g)
%mAl=\(\dfrac{5,4}{11,9}.100\)=54,4%
%mZn=54,6%
Ta có kim loại + H2SO4 → muối + H2
nH2 = 0,4 mol
Bảo toàn nguyên tố H có nH2 = nH2SO4 = 0,4 mol
Bảo toàn khối lượng có mkim loại + mH2SO4 = mH2 + mmuối → 11,9 + 0,4.98 = 0,4.2 + m → m = 50,3
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?
1. Gọi mol của Mg và Al là x, y mol
=> 24x + 27y = 12,6 (1)
nH2 = 0,6 mol => x + 1,5y = 0,6 (2)
Từ (1) (2) => x = 0,3 ; y = 0,2
=> %Mg = 57,14%
=> %Al = 42,86%
nH2=13,44/22,4=0,6(mol)
Đặt: nMg=a(mol); nAl=b(mol) (a,b>0)
1) PTHH: Mg + H2SO4 -> MgSO4 + H2
a__________a________a_____a(mol)
2Al +3 H2SO4 -> Al2(SO4)3 + 3 H2
b___1,5b______0,5b____1,5b(mol)
Ta có hpt:
\(\left\{{}\begin{matrix}24a+27b=12,6\\a+1,5b=0,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)
=> mMg=0,3.24=7,2(g)
=>%mMg= (7,2/12,6).100=57,143%
=>%mAl=42,857%
2) mMgSO4=120.a=120.0,3=36(g)
mAl2(SO4)3=342.0,5b=342.0,5.0,2= 34,2(g)
mH2SO4= (0,3+0,2.1,5).98=58,8(g)
=>mddH2SO4=58,8: 14,7%=400(g)
=>mddsau= 12,6+400 - 2.0,6= 411,4(g)
=>C%ddAl2(SO4)3= (34,2/411,4).100=8,313%
C%ddMgSO4=(36/411,4).100=8,751%
Sửa đề : 13.9 (g)
\(n_{Al}=a\left(mol\right),n_{Fe}=b\left(mol\right)\)
\(\Rightarrow m=27a+56b=13.9\left(1\right)\)
\(n_{H_2}=\dfrac{7.84}{22.4}=0.35\left(mol\right)\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(n_{H_2}=1.5a+b=0.35\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.1,b=0.2\)
\(\%Al=\dfrac{0.1\cdot27}{13.9}\cdot100\%=19.42\%\)
\(\%Fe=100-19.42=80.58\%\)
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) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
a, mchất rắn = mCu = 12,8 (g)
=> mhh (Al, Zn) = 28,5 - 12,8 = 16,7 (g)
\(m_{H_2SO_4}=7,84\%.500=39,2\left(g\right)\\ n_{H_2SO_4}=\dfrac{39,2}{98}=0,4\left(mol\right)\)
Gọi \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Zn}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\)
PTHH:
2Al + 3H2SO4 ---> Al2(SO4)3 + 3H2↑
a----->1,5a---------->0,5a-------->1,5a
Zn + H2SO4 ---> ZnSO4 + H2
b---->b------------>b--------->b
mdd (tăng) = mhh (Al, Zn) - mH2 = 27a + 65a - 2.(1,5a - b) = 24a - 63b = 515 - 500 = 15 (g)
=> Hệ pt \(\left\{{}\begin{matrix}27a+65b=15,7\\24a-63b=15\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\left(TM\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{12,8}{28,5}.100\%=44,9\%\\\%m_{Al}=\dfrac{0,1.27}{28,5}.100\%=18,9\%\\\%m_{Zn}=100\%-44,9\%-18,9\%=36,2\%\end{matrix}\right.\)
b, \(n_{H_2SO_{4\left(dư\right)}}=0,4-0,1.1,5-0,2=0,05\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,05.342}{515}.100\%=3,32\%\\C\%_{ZnSO_4}=\dfrac{0,2.161}{515}.100\%=6,25\%\\C\%_{H_2SO_{4\left(dư\right)}}=\dfrac{0,05.98}{515}.100\%=0,95\%\end{matrix}\right.\)
anh ơi \(24a+63b=15\) mới đúng chứ anh:)
\(m_{dd\left(tăng\right)}=24a+63b\) nữa:)