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Đặt :
nAl = a (mol)
nFe = b(mol)
mX = 27a + 56b = 16.6 (g) (1)
2Al + 3H2SO4 => Al2(SO4)3 + 3H2
Fe + H2SO4 => FeSO4 + H2
mM = 342a + 152b = 64.6 (g) (2)
(1) , (2):
a = 4/55
b = 23/88
%Al = (4/55*27) / 16.6 *100% = 11.83%
%Fe = 100 - 11.83 = 88.17%
nH2 = 3/2a + b = 3/2 * 4/55 + 23/88 = 163/440 (mol)
VH2 = 8.3 (l)
\(\left\{{}\begin{matrix}m_{Mg}=\dfrac{40.9}{100}=3,6\left(g\right)\\m_{Al}=9-3,6=5,4\left(g\right)\end{matrix}\right.\\ \rightarrow\left\{{}\begin{matrix}n_{Mg}=\dfrac{3,6}{24}=0,15\left(mol\right)\\n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\end{matrix}\right.\)
PTHH:
Mg + 2HCl ---> MgCl2 + H2
0,15 ------------------------> 0,15
2Al + 6HCl ---> 2AlCl3 + 3H2
0,2 ---------------------------> 0,3
\(\rightarrow V_{H_2}=\left(0,15+0,3\right).22,4=10,08\left(l\right)\)
\(n_{H_2O}=\dfrac{6,48}{18}=0,36\left(mol\right)\)
PTHH: FexOy + yH2 --to--> xFe + yH2O
Theo pthh: \(n_{O\left(oxit\right)}=n_{H_2\left(pư\right)}=n_{H_2O}=0,36\left(mol\right)\)
\(\rightarrow m_{oxit}=15,12+16.0,36=20,88\left(g\right)\)
\(n_{Fe}=\dfrac{15,12}{56}=0,27\left(mol\right)\)
CTHH: FexOy
=> x : y = 0,27 : 0,36 = 3 : 4
=> CTHH: Fe3O4 (oxit sắt từ)
mMg = 40%x9 = 3,6(g) =>nMg=3,6:24 = 0,15 (mol)
=> mAl = 9-3,6 = 5,4(g) => nAl = 5,4:27 = 0,2 (mol)
pthh : 2Al+6HCl -> 2AlCl3+3H2
0,2 0,3
Mg+2HCl -> MgCl2 +H2
0,15 0,15
=> nH2 = 0,15 + 0,3 = 0,45 (mol)
=> VH2 = 0,45.22,4 = 10,08 (L)
mH2 = 0,45 . 2 = 0,9 (mol)
áp dụng BLBTKL ta có :
mH2 + moxit sắt = mFe + mH2O
=> moxit sắt = 20,7 (g)
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?
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: \(\Rightarrow\left\{{}\begin{matrix}3x+y=0,2\\27x+56y=5,5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{19}{470}\\y=\dfrac{37}{470}\end{matrix}\right.\)
\(\%m_{Al}=\dfrac{\dfrac{19}{470}\cdot27}{5,5}\cdot100\%=19,84\%\)
\(\%m_{Fe}=100\%-19,84\%=80,16\%\)
Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 56y = 5,5 (1)
PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{3}{2}x+y=\dfrac{4,48}{22,4}=0,2\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,05\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,1.27}{5,5}.100\%\approx49,09\%\\\%m_{Fe}\approx50,91\%\end{matrix}\right.\)
PT: \(Mg+2HCl\rightarrow MgCl_2+H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
a, Ta có: \(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
Theo PT: \(n_{HCl}=2n_{H_2}=0,4\left(mol\right)\)
\(\Rightarrow V_{ddHCl}=\dfrac{0,4}{2,5}=0,16\left(l\right)\)
b, Giả sử: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)
⇒ 24x + 56y = 8 (1)
Theo PT: \(n_{H_2}=n_{Mg}+n_{Fe}=x+y\left(mol\right)\)
⇒ x + y = 0,2 (2)
Từ (1) và (2) ⇒ x = y = 0,1 (mol)
\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1.24=2,4\left(g\right)\\m_{Fe}=5,6\left(g\right)\end{matrix}\right.\)
Bạn tham khảo nhé!
Gọi x,y lần lượt là số mol của Al, Fe
nH2 = \(\dfrac{8,96}{22,4}\)=0,4 mol
Pt: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
......x.................................0,5x...........1,5x
.....Fe + H2SO4 --> FeSO4 + H2
.......y..........................y............y
Ta có hệ pt:
{27x+56y=11
1,5x+y=0,4
⇔x=0,2, y=0,1
% mAl = \(\dfrac{0,2.27}{11}\).100%=49,1%
% mFe = \(\dfrac{0,1.56}{11}\).100%=50,9%
mAl2(SO4)3 = 0,5x . 342 = 0,5 . 0,2 . 342 = 34,2 (g)
mFeSO4 = 152y = 152 . 0,1 = 15,2 (g)
Gọi CTTQ: MxOy
Pt: MxOy + yH2 --to--> xM + yH2O
\(\dfrac{0,4}{y}\)<-------0,4
Ta có: 232,2=\(\dfrac{0,4}{y}\)(56x+16y)
⇔23,2=\(\dfrac{22,4x}{y}\)+6,4
⇔\(\dfrac{22,4x}{y}\)=16,8
⇔22,4x=16,8y
⇔x:y=3:4
Vậy CTHH của oxit: Fe3O4
\(n_{O_2}=\dfrac{5.6}{22.4}=0.25\left(mol\right)\)
\(n_{H_2}=\dfrac{10.08}{22.4}=0.45\left(mol\right)\)
\(n_{Fe}=a\left(mol\right),n_{Al}=b\left(mol\right)\)
\(3Fe+2O_2\underrightarrow{^{^{t^0}}}Fe_3O_4\)
\(a.......\dfrac{2a}{3}\)
\(4Al+3O_2\underrightarrow{^{^{t^0}}}2Al_2O_3\)
\(b.......\dfrac{3b}{4}\)
\(n_{O_2}=\dfrac{2a}{3}+\dfrac{3b}{4}=0.25\left(mol\right)\left(1\right)\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(n_{H_2}=a+1.5b=0.45\left(mol\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.15,b=0.2\)
\(m_{Fe}=0.15\cdot56=8.4\left(g\right)\)
\(m_{Al}=0.2\cdot27=5.4\left(g\right)\)
\(\%m_{Fe}=\dfrac{8.4}{8.4+5.4}\cdot100\%=60.8\%\)
\(\%m_{Al}=100-60.8=39.2\%\)
a)
Gọi số mol Fe, Mg, Al là a, b,c (mol)
=> 56a + 24b + 27c = 6,4 (1)
nHCl = 0,5.1,6 = 0,8 (mol)
PTHH: Fe + 2HCl --> FeCl2 + H2
a--->2a-------------->a
Mg + 2HCl --> MgCl2 + H2
b----->2b------------->b
2Al + 6HCl --> 2AlCl3 + 3H2
c-->3c---------------->1,5c
=>nHCl(pư)=2a+2b+3c= \(\dfrac{56a}{28}+\dfrac{24b}{12}+\dfrac{27c}{9}< \dfrac{56a+24b+27c}{9}=\dfrac{6,4}{9}< 0,8\)
=> A tan hết
b)
\(n_{CuO}=\dfrac{18,4}{80}=0,23\left(mol\right)\)
PTHH: CuO + H2 --to--> Cu + H2O
0,23->0,23
=> a + b + 1,5c = 0,23 (2)
\(m_{Al}=\dfrac{6,4.33,75}{100}=2,16\left(g\right)\)
=> \(c=\dfrac{2,16}{27}=0,08\left(mol\right)\) (3)
(1)(2)(3) => a = 0,05 (mol); b = 0,06 (mol)
=> \(\left\{{}\begin{matrix}m_{Al}=2,16\left(g\right)\\m_{Fe}=0,05.56=2,8\left(g\right)\\m_{Mg}=0,06.24=1,44\left(g\right)\end{matrix}\right.\)