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\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
1)
$MgO + 2HCl to MgCl_2 + H_2O$
$Mg + 2HCl \to MgCl_2 + H_2$
2)
$n_{Mg} = n_{H_2} = \dfrac{2,24}{22,4} = 0,1(mol)$
$m_{Mg} = 0,1.24 = 2,4(gam)$
$m_{MgO} = 4,4 - 2,4 = 2(gam)$
3)
$n_{HCl} = 2n_{Mg} + 2n_{MgO} = 0,1.2 + \dfrac{2}{40}.2 = 0,3(mol)$
$V_{dd\ HCl} = \dfrac{0,3}{2} = 0,15(lít) = 150(ml)$
PT: \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
a, Giả sử: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\)
⇒ 24x + 27y = 12,6 (1)
Ta có: \(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)
Theo PT: \(n_{H_2}=n_{Mg}+\dfrac{3}{2}n_{Al}=x+\dfrac{3}{2}y\left(mol\right)\)
\(\Rightarrow x+\dfrac{3}{2}y=0,6\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,3\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{MG}=\dfrac{0,3.24}{12,6}.100\%\approx57,1\%\\\%m_{Al}\approx42,9\%\end{matrix}\right.\)
b, Theo PT: \(\left\{{}\begin{matrix}n_{H_2SO_4}=n_{H_2}=0,6\left(mol\right)\\n_{MgSO_4}=n_{Mg}=0,3\left(mol\right)\\n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{H_2SO_4}=0,6.98=58,8\left(g\right)\Rightarrow m_{ddH_2SO_4}=\dfrac{58,8}{14,7\%}=400\left(g\right)\)
Ta có: m dd sau pư = 12,6 + 400 - 0,6.2 = 411,4 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{MgSO_4}=\dfrac{0,3.120}{411,4}.100\%\approx8,75\%\\C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,1.342}{411,4}.100\%\approx8,31\%\end{matrix}\right.\)
Bạn tham khảo nhé!
Câu 5 :
\(n_{H2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
a) Pt : \(Mg+2HCl\rightarrow MgCl_2+H_2|\)
1 2 1 1
0,1 0,2 0,1 0,1
\(MgO+2HCl\rightarrow MgCl_2+H_2O|\)
1 2 1 1
0,15 0,3 0,15
a) \(n_{Mg}=\dfrac{0,1.1}{1}=0,1\left(mol\right)\)
\(m_{Mg}=0,1.24=2,4\left(g\right)\)
\(m_{MgO}=8,4-2,4=6\left(g\right)\)
0/0Mg = \(\dfrac{2,4.100}{8,4}=28,57\)0/0
0/0MgO = \(\dfrac{6.100}{8,4}=71,43\)0/0
b) Có : \(m_{MgO}=6\left(g\right)\)
\(n_{MgO}=\dfrac{6}{40}=0,15\left(mol\right)\)
\(n_{HCl\left(tổng\right)}=0,2+0,3=0,5\left(mol\right)\)
\(m_{HCl}=0,5.36,5=18,25\left(g\right)\)
\(m_{ddHCl}=\dfrac{18,25.100}{3,65}=500\left(g\right)\)
\(n_{MgCl2\left(tổng\right)}=0,1+0,15=0,25\left(mol\right)\)
⇒ \(m_{MgCl2}=0,15.95=14,25\left(g\right)\)
\(m_{ddspu}=8,4+500-\left(0,1.2\right)=508,2\left(g\right)\)
\(C_{MgCl2}=\dfrac{14,25.100}{508,2}=2,8\)0/0
Chúc bạn học tốt
Ta có: \(n_{H_2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)
PTHH:
Mg + 2HCl ---> MgCl2 + H2 (1)
MgO + 2HCl ---> MgCl2 + H2O (2)
Theo PT(1): \(n_{Mg}=n_{H_2}=0,05\left(mol\right)\)
=> \(m_{Mg}=0,05.24=1,2\left(g\right)\)
=> \(\%_{m_{Mg}}=\dfrac{1,2}{9,2}.100\%=13,04\%\)
\(\%_{m_{MgO}}=100\%-13,04\%=86,96\%\)
a) \(n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
______0,2---->0,3------------>0,1------>0,3______(mol)
=> VH2 = 0,3.22,4= 6,72(l)
b) \(C_{M\left(H_2SO_4\right)}=\dfrac{0,3}{0,1}=3M\)
\(C_{M\left(Al_2\left(SO_4\right)_3\right)}=\dfrac{0,1}{0,1}=1M\)
Câu 3:
\(n_{H_2}=\dfrac{6,72}{22,4}=0,3(mol)\\ PTHH:Mg+2HCl\to MgCl_2+H_2\\ MgO+2HCl\to MgCl_2+H_2O\\ \Rightarrow n_{Mg}=n_{H_2}=0,3(mol)\\ \Rightarrow \%_{Mg}=\dfrac{0,3.24}{15,2}.100\%=47,37\%\\ \Rightarrow \%_{MgO}=100\%-47,37\%=52,63\%\)
\(n_{MgO}=\dfrac{15,2-0,3.24}{40}=0,2(mol)\\ \Rightarrow \Sigma n_{HCl}=0,3.2+0,2.2=1(mol)\\ \Rightarrow m_{dd_{HCl}}=\dfrac{1.36,5}{10\%}=365(g)\\ \Sigma n_{MgCl_2}=0,2+0,3=0,5(mol)\\ \Rightarrow C\%_{MgCl_2}=\dfrac{0,5.95}{15,2+365}.100\%=12,49\%\)
\(PTHH:Mg+2H_2SO_{4(đ)}\to MgSO_4+2H_2O+SO_2\uparrow\\ MgO+H_2SO_4\to MgSO_4+H_2O\\ \Rightarrow n_{SO_2}=n_{Mg}=0,3(mol)\\ \Rightarrow V_{SO_2}=0,3.22,4=6,72(l)\)