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Ta có: \(n_{Fe}=\dfrac{5,6}{56}=0,1\left(mol\right)\)
PT: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
Theo PT: \(n_{H_2SO_4}=n_{FeSO_4}=n_{H_2}=n_{Fe}=0,1\left(mol\right)\)
a, \(V_{H_2}=0,1.24,79=2,479\left(l\right)\)
b, \(m_{H_2SO_4}=0,1.98=9,8\left(g\right)\)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{9,8}{9,8\%}=100\left(g\right)\)
c, Ta có: m dd sau pư = 5,6 + 100 - 0,1.2 = 105,4 (g)
\(\Rightarrow C\%_{FeSO_4}=\dfrac{0,1.152}{105,4}.100\%\approx14,42\%\)
PTHH: \(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\uparrow\)
a) Ta có: \(\left\{{}\begin{matrix}n_{Zn}=\dfrac{6,5}{65}=0,1\left(mol\right)\\n_{H_2SO_4}=\dfrac{200\cdot4,9\%}{98}=0,1\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\) Cả 2 chất p/ứ hết
b+c) Theo PTHH: \(n_{ZnSO_4}=n_{H_2}=n_{Zn}=0,1\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}m_{ZnSO_4}=0,1\cdot161=16,1\left(g\right)\\m_{H_2}=0,1\cdot2=0,2\left(g\right)\end{matrix}\right.\)
Mặt khác: \(m_{dd}=m_{Zn}+m_{ddH_2SO_4}-m_{H_2}=206,3\left(g\right)\)
\(\Rightarrow C\%_{ZnSO_4}=\dfrac{16,1}{206,3}\cdot100\%\approx7,8\%\)
nH2SO4 = 49/98 = 0.5 (mol)
CMH2SO4 = 0.5/0.15 = 3.3 (M)
Zn + H2SO4 => ZnSO4 + H2
...........0.5.............0.5.........0.5
VH2 = 0.5 * 22.4 = 11.2 (l)
CMZnSO4 = 0.5 / 0.15 = 10/3 (M)
C%ZnSO4 = CM*M / 10D = 10/3 * 161 / 10 * 1.25 = 42.9 %
\(n_{Fe}=\dfrac{11,2}{56}=0,2mol\)
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
0,2 0,2 0,2 0,2
a)\(V_{H_2}=0,2\cdot22,4=4,48l\)
b)\(C_{M_{H_2SO_4}}=\dfrac{0,2}{0,5}=0,4M\)
c)\(C_{M_{FeSO_4}}=\dfrac{0,2}{0,5}=0,4M\)
\(n_{Fe}=\dfrac{11,2}{56}=0,2\left(mol\right)\)
pthh : \(Fe+H_2SO_4->FeSO_4+H_2\)
0,2 0,2
=> \(V_{H_2}=0,2.22,4=4,48\left(L\right)\)
\(m_{H_2SO_4}=\dfrac{0,5}{22,4}.98\approx2,188\left(g\right)\)
=> mdd=11,2+2,188=13,388(g)
C%=\(\dfrac{2,188}{13,388}.100\%=16,3\%\)
Bài 10:
- Giả sử có 100 gam dd H2SO4 98%
\(m_{H_2SO_4}=\dfrac{100.98}{100}=98\left(g\right)\) => \(n_{H_2SO_4}=\dfrac{98}{98}=1\left(mol\right)\)
\(V_{dd.H_2SO_4.98\%}=\dfrac{100}{1,84}=\dfrac{1250}{23}\left(ml\right)=\dfrac{5}{92}\left(l\right)\)
\(C_{M\left(dd.H_2SO_4.98\%\right)}=\dfrac{1}{\dfrac{5}{92}}=18,4M\)
\(n_{H_2SO_4}=18,4.0,05=0,92\left(mol\right)\)
=> \(m_{H_2SO_4}=0,92.98=90,16\left(g\right)\)
=> \(m_{dd.H_2SO_4.10\%}=\dfrac{90,16.100}{10}=901,6\left(g\right)\)
Bài 11:
a) Do dd sau pư có 3 chát tan với nồng độ % bằng nhau
=> \(m_{Al_2\left(SO_4\right)_3}=m_{ZnSO_4}=m_{H_2SO_4\left(dư\right)}\)
Gọi số mol Al, Zn là a, b (mol)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
a----->1,5a------->0,5a----->1,5a
Zn + H2SO4 --> ZnSO4 + H2
b----->b--------->b----->b
=> \(\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=342.0,5a=171a\left(g\right)\\m_{ZnSO_4}=161b\left(g\right)\end{matrix}\right.\)
=> 171a = 161b
=> \(\dfrac{a}{b}=\dfrac{161}{171}\) (1)
Có: \(\dfrac{m_{Al}}{m_{Zn}}=\dfrac{27.n_{Al}}{65.n_{Zn}}=\dfrac{27}{65}.\dfrac{161}{171}=\dfrac{483}{1235}\)
b) \(n_{H_2}=1,5a+b=\dfrac{11,2}{22,4}=0,5\left(mol\right)\) (2)
(1)(2) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
a) \(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\)
\(n_{Zn}=\dfrac{6,5}{65}=0,1\left(mol\right)\)
Theoo PTHH: \(n_{H_2}=n_{Zn}=0,1\left(mol\right)\)
\(\Rightarrow V_{H_2}=0,1.22,4=2,24\left(l\right)\)
b) \(m_{dd\left(sau\right)}=250+6,5-0,1.2=256,3\left(g\right)\)
\(\Rightarrow C\%=\dfrac{0.1.161}{256,3}.100\%\approx0,06\%\)
c) \(V_{dd}=m_{dd}.D=256,3.1,15\approx294\left(ml\right)=0,294\left(l\right)\)
\(\Rightarrow C_M=\dfrac{0,1}{0,294}=0,34M\)