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PTHH: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)
2a______3a__________a_______3a (mol)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
b_______b________b______b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}27\cdot2a+24b=7,8\\3a+b=\dfrac{200\cdot19,6\%}{98}=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1\cdot24=2,4\left(g\right)\\m_{Al}=5,4\left(g\right)\\n_{Al_2\left(SO_4\right)_3}=0,1\left(mol\right)=n_{MgSO_4}\\n_{H_2}=0,4\left(mol\right)\Rightarrow m_{H_2}=0,4\cdot2=0,8\left(g\right)\end{matrix}\right.\)
Mặt khác: \(m_{dd}=m_{KL}+m_{ddH_2SO_4}-m_{H_2}=207\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,1\cdot342}{207}\cdot100\%\approx16,52\%\\C\%_{MgSO_4}=\dfrac{0,1\cdot120}{207}\cdot100\%\approx5,8\%\end{matrix}\right.\)
\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
a) PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
b) \(n_{H_2}=\dfrac{0,672}{22,4}=0,03\left(mol\right)\)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
_____0,02<---0,03<---------------------0,03
=> \(\left\{{}\begin{matrix}\%Al=\dfrac{0,02.27}{2,16}.100\%=25\%\\\%Cu=100\%-25\%=75\%\end{matrix}\right.\)
c) mH2SO4 = 0,03.98 = 2,94 (g)
=> \(C\%\left(H_2SO_4\right)=\dfrac{2,94}{200}.100\%=1,47\%\)
PTHH:
Zn + H2SO4 ---> ZnSO4 + H2 (1)
2Al + 3H2SO4 ---> Al2(SO4)3 + 3H2 (2)
Ta có: \(n_{H_2}=\dfrac{1,792}{22,4}=0,08\left(mol\right)\)
Gọi x, y lần lượt là số mol của Zn và Al
a. Theo PT(1): \(n_{H_2}=n_{Zn}=x\left(mol\right)\)
Theo PT(2): \(n_{H_2}=\dfrac{3}{2}.n_{Al}=\dfrac{3}{2}y\left(mol\right)\)
=> \(x+\dfrac{3}{2}y=0,8\) (*)
Theo đề, ta có: 65x + 27y = 3,79 (**)
Từ (*) và (**), ta có HPT:
\(\left\{{}\begin{matrix}x+\dfrac{3}{2}y=0,8\\65x+27y=3,79\end{matrix}\right.\)
(Ra số âm, bn xem lại đề nhé.)
\(n_{H_2SO_4}=0,2.2=0,4\left(mol\right)\)
Fe + H2SO4 → FeSO4 + H2
2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Gọi x,y lần lượt là số mol Fe, Al
\(\left\{{}\begin{matrix}56x+27y=11\\x+\dfrac{3}{2}y=0,4\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)
=>\(\%m_{Fe}=\dfrac{0,1.56}{11}.100=50,91\%\)
=> %m Al = 100 - 50,91 =49,09 %
b)Theo PT: \(n_{H_2}=n_{H_2SO_4}=0,4\left(mol\right)\)
=> \(V_{H_2}=0,4.22,4=8,96\left(l\right)\)
c) \(CM_{FeSO_4}=\dfrac{0,1}{0,2}=0,5M\)
\(CM_{Al_2\left(SO_4\right)_3}=\dfrac{\dfrac{0,2}{2}}{0,2}=0,5M\)
2Al + 3H2SO4 -> Al2(SO4)3 + 3H2 (1)
2 3 1 3 ( mol)
2x 3x x 3x
Mg + H2SO4 -> MgSO4 +H2 (2)
1 1 1 1
y y y y
Gọi số mol của Al là x
=> nAl = 2x, nH2SO4 = 3x, nAl2(SO4)3= x , nH2= 3x
Gọi số mol của Mg là y
=> nMg = y, nH2SO4 = y, nMgSO4 = y, nH2= y
Ta có:
mhh = mAl + mMg
1,41= 27.2x + 24y
1,41= 54x + 24y
V H2 (1) + V H2 (2) = 1,568 (1568ml = 1,568 l)
22,4 . 3x + 22,4y = 1,568
67,2x + 22.4y = 1,568
Có : - 54x + 24y=1,41
- 67,2x + 22.4y = 1,568
Bấm máy tính => x = 0,015
y = 0,025
mAl = 54x = 54 . 0,015 = 0,81 9(g)
mMg = 1,41 - 0,81 = 0,6 (g)
%mAl = 0,81 . 100 / 1,41 = 57,45%
%mMg = 100% - 57,45% = 42,55%
PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
a_______a_______a_____a (mol)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)
2b______3b__________b_____3b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}56a+27\cdot2b=11\\a+3b=0,2\cdot2=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,1\cdot56}{11}\cdot100\%\approx50,91\%\\\%m_{Al}=49,09\%\end{matrix}\right.\)
Theo các PTHH: \(\left\{{}\begin{matrix}n_{H_2}=0,4\left(mol\right)\\n_{FeSO_4}=0,1\left(mol\right)\\n_{Al_2\left(SO_4\right)_3}=0,3\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}V_{H_2}=0,4\cdot22,4=8,96\left(l\right)\\C_{M_{FeSO_4}}=\dfrac{0,1}{0,2}=0,5\left(M\right)\\C_{M_{Al_2\left(SO_4\right)_3}}=\dfrac{0,3}{0,2}=1,5\left(M\right)\end{matrix}\right.\)
a) nH2SO4=0,4(mol)
Đặt: nFe=x(mol); nAl=y(mol) (x,y>0)
PTHH: Fe + H2SO4 -> FeSO4 + H2
x________x______x______x(mol)
2Al + 3 H2SO4 -> Al2(SO4)3 + 3 H2
y____1,5y_______0,5y_______1,5y(mol)
Ta có hpt:
\(\left\{{}\begin{matrix}56x+27y=11\\x+1,5y=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)
=> mFe=0,1.56=5,6(g)
=>%mFe=(5,6/11).100=50,909%
=>%mAl= 49,091%
b) V(H2,đktc)=0,4.22,4=8,96(l)
c) nAl2(SO4)3= 0,5y=0,5.0,2=0,1(mol)
nFeSO4=x=0,1(mol)
Vddsau=VddH2SO4=0,2(l)
=>CMddAl2(SO4)3= 0,1/0,2=0,5(M)
CMddFeSO4=0,1/0,2=0,5(M)
\(m_{H_2SO_4}=\frac{200.19,6}{100}=39,2g\)
\(\rightarrow n_{H_2SO_4}=\frac{39,2}{98}=0,4mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
x x x x
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)
y 1,5y 0,5y 1,5y
Đặt \(\hept{\begin{cases}x\left(mol\right)=Mg\\y\left(mol\right)=Al\end{cases}}\)
a. Có hệ phương trình là: \(\hept{\begin{cases}24x+27y=7,8\\x+1,5y=0,4\end{cases}}\)
\(\rightarrow\hept{\begin{cases}x=0,1\\y=0,2\end{cases}}\)
\(m_{Mg}=0,1.24=2,4g\)
\(m_{Al}=7,8-2,4=5,4g\)
b. \(n_{H_2}=0,1+1,5.0,2=0,4mol\)
\(\rightarrow m_{H_2}=0,4.2=0,8g\)
\(m_{ddsaupu}=m_{hh}+m_{ddH_2SO_4}-m_{H_2}\)
\(\rightarrow m_{ddsaupu}=7,8+200-0,8=207g\)
Những dung dịch thu được sau phản ứng: \(MgSO_4;Al_2\left(SO_4\right)_3\)
\(m_{MgSO_4}=0,1.\left(24+32+16.4\right)=12g\)
\(\rightarrow C\%_{MgSO_4}=\frac{12.100}{207}=5,8\%\)
\(m_{Al_2\left(SO_4\right)_3}=0,5.0,2.\left(27.2+32.3+16.12\right)=34,2g\)
\(\rightarrow C\%_{Al_2\left(SO_4\right)_3}=\frac{34,2.100}{207}=16,52\%\)