96 gam hỗn hợp X gồm Fe2O3và CuO phản ứng với V lít dung dịch H2SO4, thu được dung dịch chỉ có 2 muối nồng độ bằng nhau và bằng 0,2M. Tính V
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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) 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) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
- Ta có : \(m_{hh}=m_{Na}+m_{Ba}=7,09=23n_{Na}+137n_{Ba}\left(I\right)\)
\(2Na+2H_2O\rightarrow2NaOH+H_2\)
\(Ba+2H_2O\rightarrow Ba\left(OH\right)_2+H_2\)
- Theo PTHH : \(n_{H_2}=\dfrac{V}{22,4}=0,075=\dfrac{1}{2}n_{Na}+n_{Ba}\left(II\right)\)
- Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Na}=0,07\\n_{Ba}=0,04\end{matrix}\right.\) mol .\(\Rightarrow\left\{{}\begin{matrix}n_{NaOH}=0,07\\n_{Ba\left(OH\right)_2}=0,04\end{matrix}\right.\) mol .
\(\Rightarrow n_{OH^-}=0,15mol\)
Theo bài ra : \(n_{H^+}=0,2V+2.0,15.V=0,5Vmol\)
PT : \(H^++OH^-\rightarrow H_2O\)
Theo PT ion : \(0,5V=0,15\)
\(\Rightarrow V=0,3\left(l\right)\)
- Ta lại có : \(\left\{{}\begin{matrix}n_{Ba\left(OH\right)2}=0,04\\n_{H2SO4}=0,045\end{matrix}\right.\) mol
\(PTHH:Ba\left(OH\right)_2+H_2SO_4\rightarrow BaSO_4+2H_2O\)
Theo PTHH : \(m_{\downarrow}=m_{BaSO4}=0,04.M=9,32\left(g\right)\)
Vậy ...
\(C_{M\left(CuSO_4\right)}=C_{M\left(Fe_2\left(SO_4\right)_3\right)}=0,2M\\ \rightarrow n_{CuSO_4}=n_{Fe_2\left(SO_4\right)_3}=0,2V\left(mol\right)\)
PTHH:
Fe2O3 + 3H2SO4 ---> Fe2(SO4)3 + 3H2O
0,2V <---------------------------- 0,2V
CuO + H2SO4 ---> CuSO4 + H2O
0,2V <---------------- 0,2V
=> 0,2V(80 + 160) = 96
=> V = 2 (l)