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\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
a, PT: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
\(MgO+H_2SO_4\rightarrow MgSO_4+H_2O\)
Ta có: \(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)
Theo PT: \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,4\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,4.27}{14,8}.100\%\approx72,97\%\\\%m_{MgO}\approx27,03\%\end{matrix}\right.\)
b, Ta có: \(n_{MgO}=\dfrac{14,8-0,4.27}{40}=0,1\left(mol\right)\)
Theo PT: \(n_{H_2SO_4}=n_{H_2}+n_{MgO}=0,7\left(mol\right)\)
\(\Rightarrow m_{H_2SO_4}=0,7.98=68,6\left(g\right)\)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{68,6}{10\%}=686\left(g\right)\)
c, Theo PT: \(\left\{{}\begin{matrix}n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}=0,2\left(mol\right)\\n_{MgSO_4}=n_{MgO}=0,1\left(mol\right)\end{matrix}\right.\)
Ta có: m dd sau pư = 14,8 + 686 - 0,6.2 = 699,6 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,2.342}{699,6}.100\%\approx9,78\%\\C\%_{MgSO_4}=\dfrac{0,1.120}{699,6}.100\%\approx1,72\%\end{matrix}\right.\)
\(a.Zn+H_2SO_4\rightarrow ZnSO_4+H_2\\ n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ n_{Zn}=n_{H_2}=0,2\left(mol\right)\\ \Rightarrow\%m_{Zn}=\dfrac{0,2.65}{25.8}.100=50,39\%\\ \%m_{Cu}=100-50,39=49,61\%\\ b.m_{ddsaupu}=0,2.65+200-0,2.2=212,6\left(g\right)\\ n_{ZnSO_4}=n_{H_2}=0,2\left(mol\right)\\ C\%_{ZnSO_4}=\dfrac{0,2.161}{212,6}.100=15,15\%\)
PTHH: \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\) (1)
\(MgO+2HCl\rightarrow MgCl_2+H_2O\) (2)
a) Ta có: \(n_{H_2}=\dfrac{22,4}{22,4}=1\left(mol\right)=n_{Mg}\) \(\Rightarrow m_{Mg}=1\cdot24=24\left(g\right)\)
\(\Rightarrow\%m_{Mg}=\dfrac{24}{32}\cdot100\%=75\%\) \(\Rightarrow\%m_{MgO}=25\%\)
b) Theo 2 PTHH: \(\left\{{}\begin{matrix}n_{HCl\left(1\right)}=2n_{Mg}=2mol\\n_{HCl\left(2\right)}=2n_{MgO}=2\cdot\dfrac{32-24}{40}=0,4mol\end{matrix}\right.\)
\(\Rightarrow\Sigma n_{HCl}=2,4mol\) \(\Rightarrow m_{ddHCl}=\dfrac{2,4\cdot36,5}{7,3\%}=1200\left(g\right)\)
c) Theo PTHH: \(\Sigma n_{MgCl_2}=\dfrac{1}{2}\Sigma n_{HCl}=1,2mol\)
\(\Rightarrow\Sigma m_{MgCl_2}=1,2\cdot95=114\left(g\right)\)
Mặt khác: \(m_{H_2}=1\cdot2=2\left(g\right)\)
\(\Rightarrow m_{dd}=m_{hh}+m_{ddHCl}-m_{H_2}=1230\left(g\right)\)
\(\Rightarrow C\%_{MgCl_2}=\dfrac{114}{1230}\cdot100\%\approx9,27\%\)
\(n_{H_2}=\dfrac{2,24}{22,4}=0,1mol\)
\(Ca+2HCl\rightarrow CaCl_2+H_2\)
0,1 0,1 ( mol )
\(\rightarrow\left\{{}\begin{matrix}\%m_{Ca}=\dfrac{0,1.40}{10}.100=40\%\\\%m_{MgO}=100\%-40\%=60\%\end{matrix}\right.\)
\(\left\{{}\begin{matrix}C\%_{CaCl_2}=\dfrac{0,1.111}{10+390,2-0,1.2}.100=2,775\%\\C\%_{MgO}=\dfrac{4}{10+390,2-0,1.2}.100=1\%\end{matrix}\right.\)
Bài 6 :
a) Pt : \(MgO+H_2SO_4\rightarrow MgSO_4+H_2O|\)
1 1 1 1
a 2a 0,2
\(Al_2O_3+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O|\)
1 3 1 3
b 3b 0,1
b) Gọi a là số mol của MgO
b là số mol của Al2O3
\(m_{MgO}+m_{Al2O3}=18,2\left(g\right)\)
⇒ \(n_{MgO}.M_{MgO}+n_{Al2O3}.M_{Al2O3}=18,2g\)
⇒ 40a + 102b = 18,2g
Ta có : \(m_{ct}=\dfrac{19,6.250}{100}=49\left(g\right)\)
\(n_{H2SO4}=\dfrac{49}{98}=0,5\left(mol\right)\)
⇒ 1a + 3b = 0,5 (2)
Từ (1),(2), ta có hệ phương trình :
40a + 102b = 18,2g
1a + 3b = 0,5
⇒ \(\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)
\(m_{MgO}=0,2.40=8\left(g\right)\)
\(m_{Al2O3}=0,1.102=10,2\left(g\right)\)
d) Có : \(n_{MgO}=0,2\left(mol\right)\Rightarrow n_{MgSO4}=0,2\left(mol\right)\)
\(n_{Al2O3}=0,1\left(mol\right)\Rightarrow n_{Al2\left(SO4\right)3}=0,1\left(mol\right)\)
\(m_{MgSO4}=0,2.120=24\left(g\right)\)
\(m_{Al2\left(SO4\right)3}=0,1.342=34,2\left(g\right)\)
\(m_{ddspu}=18,2+250=268,2\left(g\right)\)
\(C_{MgSO4}=\dfrac{24.100}{268,2}=8,95\)0/0
\(C_{Al2\left(SO4\right)3}=\dfrac{34,2.100}{268,2}=12,75\)0/0
e) \(2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O|\)
2 1 1 2
1 0,5
\(n_{NaOH}=\dfrac{0,5.2}{1}=1\left(mol\right)\)
\(m_{NaOH}=1.40=40\left(g\right)\)
\(m_{ddnaOH}=\dfrac{40.100}{12}=333,33\left(g\right)\)
\(V_{ddNaOH}=\dfrac{333,33}{1,1}=303,2\left(ml\right)\)
Chúc bạn học tốt
\(n_{H_2}=\dfrac{5,6}{22,4}=0,25(mol)\\ Mg+H_2SO_4\to MgSO_4+H_2\\ MgO+H_2SO_4\to MgSO_4+H_2O\\ \Rightarrow n_{Mg}=0,25(mol)\\ a,\begin{cases} \%_{Mg}=\dfrac{0,25.24}{14}.100\%=42,86\%\\ \%_{MgO}=100\%-42,86\%=57,14\% \end{cases}\\ b,n_{MgO}=\dfrac{14-0,25.24}{40}=0,2(mol)\\ \Rightarrow \Sigma n_{H_2SO_4}=0,2+0,25=0,45(mol)\\ \Rightarrow C\%_{H_2SO_4}=\dfrac{0,45.98}{200}.100\%=22,05\%\)