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\(n_{H2}=\dfrac{22,4}{22,4}=1\left(mol\right)\)
a) Pt : \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2|\)
2 3 1 3
a 0,6 1,5a
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2|\)
1 1 1 1
b 0,4 1b
b) Gọi a là số mol của Al
b là số mol của Mg
\(m_{Al}+m_{Mg}=20,4\left(g\right)\)
⇒ \(n_{Al}.M_{Al}+n_{Mg}.M_{Mg}=20,4g\)
⇒ 27a + 24b = 20,4g (1)
The phương trình : 1,5a + 1b = 1(2)
Từ(1),(2), ta có hệ phương trình :
27a + 24b = 20,4g
1,5a + 1b = 1
⇒ \(\left\{{}\begin{matrix}a=0,4\\b=0,4\end{matrix}\right.\)
\(m_{Al}=0,4.27=10,8\left(g\right)\)
\(m_{Mg}=0,4.24=9,6\left(g\right)\)
c) \(n_{H2SO4\left(tổng\right)}=0,6+0,4=1\left(mol\right)\)
\(V_{ddH2SO4}=\dfrac{1}{0,2}=5\left(l\right)\)
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a. PTHH:
Fe + 2HCl ---> FeCl2 + H2 (1)
Mg + 2HCl ---> MgCl2 + H2 (2)
b. Gọi x, y lần lượt là số mol của Fe và Mg
Ta có: \(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
Theo PT(1): \(n_{H_2}=n_{Fe}=x\left(mol\right)\)
Theo PT(2): \(n_{H_2}=n_{Mg}=y\left(mol\right)\)
\(\Rightarrow x+y=0,25\) (*)
Theo đề, ta lại có: 56x + 24y = 8,25 (**)
Từ (*) và (**), ta có HPT:
\(\left\{{}\begin{matrix}x+y=0,25\\56x+24y=8,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\approx0,07\\y\approx0,18\end{matrix}\right.\)
=> \(m_{Fe}=0,07.56=3,92\left(g\right)\)
=> \(\%_{m_{Fe}}=\dfrac{3,92}{8,25}.100\%=47,52\%\)
\(\%_{m_{Mg}}=100\%-47,52\%=52,48\%\)
a. PTHH:
2Al + 3H2SO4 ---> Al2(SO4)3 + 3H2
Cu + H2SO4 ---x--->
b. Theo PT: \(n_{Al}=\dfrac{2}{3}.n_{H_2}=\dfrac{2}{3}.\dfrac{6,72}{22,4}=0,2\left(mol\right)\)
=> \(m_{Al}=0,2.27=5,4\left(g\right)\)
=> \(m_{Cu}=10-5,4=4,6\left(g\right)\)
c. \(\%_{m_{Al}}=\dfrac{5,4}{10}.100\%=54\%\)
\(\%_{m_{Cu}}=100\%-54\%=46\%\)
d. Theo PT: \(n_{H_2SO_4}=n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
=> \(m_{H_2SO_4}=0,3.98=29,4\left(g\right)\)
Ta có: \(C_{\%_{H_2SO_4}}=\dfrac{29,4}{m_{dd_{H_2SO_4}}}.100\%=20\%\)
=> \(m_{dd_{H_2SO_4}}=147\left(g\right)\)
Câu 1:
\(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\\ PTHH:Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ \Rightarrow n_{Fe}=0,1\left(mol\right)\\ \Rightarrow m_{Fe}=0,1\cdot56=5,6\left(g\right)\\ \Rightarrow\%_{Fe}=\dfrac{5,6}{12}\cdot100\%\approx46,67\%\\ \Rightarrow\%_{Cu}\approx100\%-46,67\%=53,33\%\)
Bài 2:
\(n_{Zn}=\dfrac{13}{65}=0,2\left(mol\right)\\ PTHH:Zn+2HCl\rightarrow ZnCl_2+H_2\\ \Rightarrow n_{H_2}=n_{Zn}=0,2\left(mol\right)\\ \Rightarrow V=V_{H_2\left(đktc\right)}=0,2\cdot22,4=4,48\left(l\right)\)
a, \(2CH_3COOH+Zn\rightarrow\left(CH_3COO\right)_2Zn+H_2\)
b, \(n_{CH_3COOH}=0,1.2=0,2\left(mol\right)\)
Theo PT: \(n_{H_2}=\dfrac{1}{2}n_{CH_3COOH}=0,1\left(mol\right)\)
\(\Rightarrow V_{H_2}=0,1.22,4=2,24\left(l\right)\)
c, Theo PT: \(n_{Zn}=\dfrac{1}{2}n_{CH_3COOH}=0,1\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,1.65}{9,5}.100\%\approx68,42\%\\\%m_{Cu}\approx31,58\%\end{matrix}\right.\)
\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
\(n_{H_2}=\dfrac{6,72}{22,4}=0,3(mol)\\ 2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ \Rightarrow n_{Al}=0,2(mol)\Rightarrow m_{Al}=0,2.27=5,4(g)\\ \Rightarrow m_{Cu}=10-5,4=4,6(g)\\ \Rightarrow \%_{Al}=\dfrac{5,4}{10}.100\%=54\%\\ \Rightarrow \%_{Cu}=100\%-54\%=46\%\\ n_{H_2SO_4}=0,3(mol)\Rightarrow m_{dd_{H_2SO_4}}=\dfrac{0,3.98}{20\%}=147(g)\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
tl1..........1................1.............1(mol)
br x.......x................x.............x(mol)
\(Cu+H_2SO_4\rightarrow CuSO_4+H_2\)
tl1............1...............1...........1(mol)
Br y...........y...............y...........y(mol)
\(n_{H_2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)
Taco hệ pt
\(\left\{{}\begin{matrix}x+y=0,05\\24x+64y=5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,045\\y=0,095\end{matrix}\right.\)
\(\Rightarrow\%m_{Mg}=0,045.24:5.100\%=21,6\%\)
\(\Rightarrow\%m_{Cu}=100\%-21,6\%=78,4\%\)
\(A.Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ B.n_{H_2}=\dfrac{1,12}{22,4}=0,05mol\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
0,05 0,05 0,05 0,05
\(\%m_{Mg}=\dfrac{0,05.24}{6,4}\cdot100=18,75\%\\ \%m_{Cu}=100-18,75=81,25\%\\ C.m_{ddH_2SO_4}=\dfrac{0,05.98}{20}\cdot100=24,5g\)
a) Pt : \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
Theo Pt : \(n_{Mg}=n_{H2SO4}=n_{MgSO4}=n_{H2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)
b) \(\%m_{Mg}=\dfrac{0,05.24}{6,4}.100\%=18,75\%\)
\(\%m_{Cu}=100\%-18,75\%=81,25\%\)
c) \(m_{H2SO4}=0,05.98=4,9\left(g\right)\)
\(\Rightarrow m_{ddH2SO4}=\dfrac{4.100\%}{20\%}=20\left(g\right)\)
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