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Đặt nAl = a (mol)
=> nMg = 2a (mol)
=> 27a + 24 . 2a = 15
=> a = nAl = 0,2 (mol)
nMg = 0,2 . 2 = 0,4 (mol)
mAl = 0,2 . 27 = 5,4 (g)
mMg = 0,4 . 24 = 9,6 (g)
%mAl = \(\dfrac{5,4}{15}=36\%\)
%mMg = 100% - 36% = 64%
PTHH:
2Al + 6HCl -> 2AlCl3 + 3H2
0,2 ---> 0,6 ---------------> 0,3
Mg + 2HCl -> MgCl2 + H2
0,4 ---> 0,8 --------------> 0,4
=> VH2 = (0,3 + 0,4) . 22,4 =15,68 (l)
=> mHCl = (0,6 + 0,8) . 36,5 = 51,1 (g)
Câu 1:
\(n_{H_2}=\dfrac{2.91362}{22.4}=0.13mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
a a a a
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
2b 3b b 3b
Ta có: \(\left\{{}\begin{matrix}24a+54b=2.58\\a+3b=0.13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.04\\b=0.03\end{matrix}\right.\)
\(m_{Mg}=0.04\times24=0.96g\)
\(m_{Al}=0.03\times2\times27=1.62g\)
\(V_{H_2SO_4}=\dfrac{0.04+3\times0.03}{0.5}=0.26l\)
Câu 2:
\(n_{H_2}=\dfrac{3.136}{22.4}=0.14mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
a a a a
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
b b b b
Ta có: \(\left\{{}\begin{matrix}24a+56b=4.96\\a+b=0.14\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.09\\b=0.05\end{matrix}\right.\)
\(m_{Mg}=0.09\times24=2.16g\)
\(m_{Fe}=0.05\times56=2.8g\)
\(C\%_{H_2SO_4}=\dfrac{0.14\times98\times100}{200}=6.86\%\)
Câu 3:
\(n_{H_2}=\dfrac{1.568}{22.4}=0.07mol\)
\(Ba+H_2SO_4\rightarrow BaSO_4+H_2\)
a a a a
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
b b b b
Ta có: \(\left\{{}\begin{matrix}137a+24b=3.94\\a+b=0.07\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.02\\b=0.05\end{matrix}\right.\)
\(m_{Ba}=0.02\times137=2.74g\)
\(m_{Mg}=0.05\times24=1.2g\)
\(CM_{H_2SO_4}=\dfrac{0.07}{0.1}=0.7M\)
\(n_{Mg}=a;n_{Fe}=0,5a;n_{Zn}=b\\ a\left(24+28\right)+65b=52a+65b=44,2\\ 1,5a+b=\dfrac{24,64}{22,4}1,1\\ a=0,6;b=0,2\\ \%m_{Mg}=\dfrac{24a}{44,2}=32,58\%\\ \%m_{Fe}=\dfrac{28a}{44,2}=38\%\\ \%m_{Zn}=29,42\%\\ m_{ddacid}=\dfrac{98\left(1,5a+b\right)}{0,08}=1347,5g\\ m_{ddsau}=1389,5g\\ C\%_{MgCl_2}=\dfrac{95a}{1389,5}=4,10\%\\ C\%_{FeCl_2}=\dfrac{127.0,5a}{1389,5}=2,74\%\\ C\%_{ZnCl_2}=\dfrac{136b}{1389,5}=1,96\%\)
\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
PTHH: 2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Mol: x 1,5x
PTHH: Mg + H2SO4 → MgSO4 + H2
Mol: y y
Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)
b)
PTHH: 2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Mol: 0,1 0,15 0,05
PTHH: Mg + H2SO4 → MgSO4 + H2
Mol: 0,1 0,1 0,1
\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)
mdd sau pứ = 5,1+250-0,15.2 = 254,8(g)
\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)
\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)
a) Mg + 2HCl -> MgCl2 + H2
Al + 3HCl -> AlCl3 + 3/2H2
b) Gọi a, b lần lượt là số mol Mg, Al.
nH2 = 5,6/22,4 = 0,25 (mol)
Mg + 2HCl -> MgCl2 + H2
a 2a a a
Al + 3HCl -> AlCl3 + 3/2H2
b 3b b 3/2b
Ta có hệ pt:
mhh = 24a + 27b = 5,1 (g)
nH2 = a + 3/2b = 0,25 (mol)
=> a = 0,1 (mol)
b = 0,1 (mol)
200 ml = 0,2 l
nHCl = 2a + 3b = 0,2 + 0,3 = 0,5 (mol)
=> CM ddHCl = 0,5/0,2 = 2,5 (M)
%mMg = 24a/5,1*100% = 2,4/5,1*100% = 47,06%
%mAl = 100%-47,06% = 52,94%
a) Cu + 2H2SO4 → CuSO4 + SO2↑ + 2H2O
\(CuO+H_2SO_4\rightarrow CuSO_4+H_2O\)
\(n_{SO_2}=n_{Cu}=0,2\left(mol\right)\)
\(\Rightarrow m_{Cu}=0,2.64=12,8\left(g\right)\)
\(\%m_{Cu}=\dfrac{12,8}{20,8}.100=61,54\%\); \(\%m_{CuO}=38,46\%\)
b) \(n_{CuO}=\dfrac{20,8-12,8}{80}=0,1\left(mol\right)\)
\(n_{H_2SO_4}=0,2.2+0,1=0,5\left(mol\right)\)
\(m_{ddH_2SO_4}=\dfrac{0,5.98}{80\%}=61,25\left(g\right)\)
\(n_{CuSO_4}=0,2+0,1=0,3\left(mol\right)\)
\(m_{CuSO_4}=0,3.160=48\left(g\right)\)
\(n_{H_2SO_{ }4}=0,25\cdot3=0,75mol\)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
a 1,5a 0,5a 1,5a
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
b b b b
a)\(\left\{{}\begin{matrix}27a+24b=15,3\\1,5a+b=0,75\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=0,3mol\\b=0,3mol\end{matrix}\right.\)
\(m_{Al}=0,3\cdot27=8,1g\)
\(m_{Mg}=0,3\cdot24=7,2g\)
b)\(n_{H_2}=1,5a+b=1,5\cdot0,3+0,3=0,75mol\)
\(V_{H_2}=0,75\cdot22,4=16,8l\)
c)\(m_{Al_2\left(SO_4\right)_3}=0,5\cdot0,3\cdot342=51,3g\)
\(m_{MgSO_4}=0,3\cdot120=36g\)
\(n_{H_2SO_4}=0,25.3=0,75\left(mol\right)\)
Gọi \(\left\{{}\begin{matrix}n_{Al}=x\\n_{Mg}=y\end{matrix}\right.\) ( mol )
\(\rightarrow m_{hh}=27x+24y=15,3\left(g\right)\left(1\right)\)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
x 1,5x 0,5x 1,5x ( mol )
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
y y y y ( mol )
\(n_{H_2SO_4}=1,5x+y=0,75\left(2\right)\)
\(\left(1\right);\left(2\right)\Rightarrow\left\{{}\begin{matrix}x=0,3\\y=0,3\end{matrix}\right.\)
\(\left\{{}\begin{matrix}m_{Al}=0,3.27=8,1\left(g\right)\\m_{Mg}=15,3-8,1=7,2\left(g\right)\end{matrix}\right.\)
\(V_{H_2}=\left(1,5.0,3+0,3\right).22,4=16,8\left(l\right)\)
\(\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=\left(0,5.0,3\right).342=51,3\left(g\right)\\m_{MgSO_4}=0,3.120=36\left(g\right)\end{matrix}\right.\)