Y chứa \(\left\{{}\begin{matrix}Al_2\left(SO_4\right)_3:2a\left(mol\right)\\K_2SO_4:a\left(mol\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}n_{Al^{3+}}=4a\left(mol\right)\\n_{K^+}=2a\left(mol\right)\\n_{SO_4^{2-}}=7a\left(mol\right)\end{matrix}\right.\)
Gọi \(\left\{{}\begin{matrix}n_{Ba^{2+}}=x\left(mol\right)\\n_{OH^-}=2x\left(mol\right)\end{matrix}\right.\)
- Nếu Z chứa K2SO4
Ba2+ + SO42- --> BaSO4
x----->x------------>x
Al3+ + 3OH- --> Al(OH)3
4a-->12a------>4a
=> \(\left\{{}\begin{matrix}n_{K_2SO_4}=n_{SO_4^{2-}\left(còn\right)}=7a-x=0,02\\n_{OH^-}=12a=2x\end{matrix}\right.\)
=> a = 0,02; x = 0,12
=> Y chứa \(\left\{{}\begin{matrix}Al_2\left(SO_4\right)_3:0,04\left(mol\right)\\K_2SO_4:0,02\left(mol\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}n_{K_2SO_4.Al_2\left(SO_4\right)_3.24H_2O}=0,02\left(mol\right)\\n_{Al_2\left(SO_4\right)_3}=0,02\left(mol\right)\end{matrix}\right.\)
=> m1 = 0,02.948 + 0,02.342 = 25,8(g)
m2 = 233.0,12 + 0,08.78 = 34,2 (g)
\(n_{Ba\left(OH\right)_2}=0,12\left(mol\right)\)
=> \(V=\dfrac{0,12}{2}=0,06\left(l\right)=60\left(ml\right)\)
- Nếu Z chứa KAlO2
Ba2+ + SO42- --> BaSO4
x----->x---------->x
Al3+ + 3OH- --> Al(OH)3
4a--->12a----->4a
Al(OH)3 + OH- --> AlO2- + 2H2O
(2x-12a)<-(2x-12a)->(2x-12a)
=> \(\left\{{}\begin{matrix}n_{KAlO_2}=n_{AlO_2^-}=2x-12a=0,02\\n_{KAlO_2}=n_{K^+}=2a=0,02\end{matrix}\right.\)
=> a = 0,01; x = 0,07
=> Y chứa \(\left\{{}\begin{matrix}Al_2\left(SO_4\right)_3:0,02\left(mol\right)\\K_2SO_4:0,01\left(mol\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}n_{K_2SO_4.Al_2\left(SO_4\right)_3.24H_2O}=0,01\left(mol\right)\\n_{Al_2\left(SO_4\right)_3}=0,01\left(mol\right)\end{matrix}\right.\)
=> m1 = 0,01.948 + 0,01.342 = 12,9(g)
Kết tủa gồm \(\left\{{}\begin{matrix}BaSO_4:0,07\left(mol\right)\\Al\left(OH\right)_3:0,02\left(mol\right)\end{matrix}\right.\)
=> m2 = 0,07.233 + 0,02.78 = 17,87 (g)
\(V=\dfrac{0,07}{2}=0,035\left(l\right)=35\left(ml\right)\)
mkhí, hơi = 3,552 - 0,96 = 2,592
\(n_{KOH}=\dfrac{1,344.100}{100.56}=0,024\left(mol\right)\)
mdd sau pư = 100 + 2,592 = 102,592 (g)
Gọi công thức của muối cần tìm là KaX
=> \(n_{K_aX}=\dfrac{0,024}{a}\left(mol\right)\)
Có: \(m_{muối}=\dfrac{2,363.102,592}{100}=2,42425\left(g\right)\)
=> \(M_{K_aX}=39a+M_X=\dfrac{2,42425}{\dfrac{0,024}{a}}\left(g/mol\right)\)
=> MX = 62a (g/mol)
Xét a = 1 => MX = 62 (NO3)
Xét a = 2,3 => Loại
\(n_{KNO_3}=0,024\left(mol\right)\)
Gọi CTHH của muối là A(NO3)n.qH2O
Bảo toàn N: \(n.n_{A\left(NO_3\right)n.qH_2O}=0,024\left(mol\right)\)
Bảo toàn A: \(n_{A\left(NO_3\right)_n.qH_2O}=n_{A_xO_y}=\dfrac{0,96}{x.M_A+16y}\left(mol\right)\)
=> \(n.\dfrac{0,96}{x.M_A+16y}=0,024\)
=> 0,024.x.MA + 0,384y = 0,96n
( Do hóa trị không đổi nên \(n=\dfrac{2y}{x}\))
- Nếu \(n=\dfrac{2y}{x}=1\) => MA = 12 (Loại)
- Nếu \(n=\dfrac{2y}{x}=2\) => MA = 64 (Cu)
- Nếu \(n=\dfrac{2y}{x}=3\) => MA = 36 (Loại)
=> CTHH của muối là Cu(NO3)2.qH2O
\(n_{CuO}=\dfrac{0,96}{80}=0,012\left(mol\right)\)
=> \(n_{Cu\left(NO_3\right)_2.qH_2O}=0,015\left(mol\right)\)
=> \(M_{Cu\left(NO_3\right)_2.qH_2O}=\dfrac{3,552}{0,012}=296\left(g/mol\right)\)
=> q = 6
=> CTHH: Cu(NO3)2.6H2O