\(n_{Al_2(SO_4)_3}=0,1.0,2=0,02(mol)\\ n_{KOH}=0,2.0,3=0,06(mol)\\ PTHH:Al_2(SO_4)_3+6KOH\to 2Al(OH)_3\downarrow+3K_2SO_4\)

Vì \(\dfrac{n_{Al_2(SO_4)_3}}{1}>\dfrac{n_{KOH}}{6}\) nên \(Al_2(SO_4)_3\) dư

\(a,n_{K_2SO_4}=\dfrac{1}{2}n_{KOH}=0,3(mol)\\ n_{Al(OH)_3}=\dfrac{1}{3}n_{KOH}=0,2(mol)\\ \Rightarrow m_{Al(OH)_3}=0,2.78=15,6(g)\\ C_{M_{K_2SO_4}}=\dfrac{0,3}{0,5}=0,6M\)

\(b,K_2SO_4\) ko tác dụng được với \(KOH\), bạn xem lại đề 

1) \(n_{Al\left(OH\right)_3}=\dfrac{0,78}{78}=0,01\left(mol\right)\)

PTHH: \(Al_2\left(SO_4\right)_3+6NaOH\rightarrow3Na_2SO_4+2Al\left(OH\right)_3\) 

                                   0,03<----------------------0,01

=> n_{NaOH min} = 0,03 (mol)

=> \(C_{M\left(NaOH\right)}=\dfrac{0,03}{0,2}=0,15M\)

2) \(n_{Al_2O_3}=\dfrac{5,1}{102}=0,05\left(mol\right)\)

\(n_{Al_2\left(SO_4\right)_3}=0,3.0,25=0,075\left(mol\right)\)

PTHH: \(6NaOH+Al_2\left(SO_4\right)_3\rightarrow3Na_2SO_4+2Al\left(OH\right)_3\)

           0,45<------0,075-------------------------->0,15

            \(NaOH+Al\left(OH\right)_3\rightarrow NaAlO_2+2H_2O\)

             0,05<----0,05

            \(2Al\left(OH\right)_3\underrightarrow{t^o}Al_2O_3+3H_2O\)

              0,1<-------0,05

=> n_{NaOH max} = 0,5 (mol)

=> \(V_{dd}=\dfrac{0,5}{2}=0,25\left(l\right)=250\left(ml\right)\)

3)

\(n_{KOH\left(1\right)}=0,15.1,2=0,18\left(mol\right)\)

\(n_{Al\left(OH\right)_3\left(1\right)}=\dfrac{4,68}{78}=0,06\left(mol\right)\)

\(n_{AlCl_3}=0,1.x\left(mol\right)\)

Do khi cho KOH tác dụng với dd Y xuất hiện kết tủa

=> Trong Y chứa AlCl₃ dư

PTHH: \(3KOH+AlCl_3\rightarrow3KCl+Al\left(OH\right)_3\)

           0,18---->0,06----------------->0,06

\(n_{KOH\left(2\right)}=0,175.1,2=0,21\left(mol\right)\)

\(n_{Al\left(OH\right)_3\left(2\right)}=\dfrac{2,34}{78}=0,03\left(mol\right)\)

PTHH: \(3KOH+AlCl_3\rightarrow3KCl+Al\left(OH\right)_3\)

   (0,3x-0,18)<--(0,1x-0,06)------->(0,1x-0,06)

            \(KOH+Al\left(OH\right)_3\rightarrow KAlO_2+2H_2O\)

     (0,1x-0,09)<-(0,1x-0,09)

=> \(\left(0,3x-0,18\right)+\left(0,1x-0,09\right)=0,21\)

=> x = 1,2

Chọn đáp án D

Đáp án B

Chọn đáp án D

PTHH: \(Fe_2\left(SO_4\right)_3+6NaOH\rightarrow3Na_2SO_4+2Fe\left(OH\right)_3\downarrow\)

            \(Al_2\left(SO_4\right)_3+6NaOH\rightarrow3Na_2SO_4+2Al\left(OH\right)_3\downarrow\)

Ta có: \(n_{NaOH\left(p/ứ\right)}=6n_{Fe_2\left(SO_4\right)_3}+6n_{Al_2\left(SO_4\right)_3}=6\cdot\left(\dfrac{8}{400}+\dfrac{13,68}{342}\right)=0,36\left(mol\right)\)

Mà \(\Sigma n_{NaOH}=\dfrac{16,8}{40}=0,42\left(mol\right)\) \(\Rightarrow n_{NaOH\left(dư\right)}=0,06\left(mol\right)\)

PTHH: \(NaOH+Al\left(OH\right)_3\rightarrow NaAlO_2+2H_2O\)

Ta có: \(\left\{{}\begin{matrix}n_{Al\left(OH\right)_3}=2n_{Al_2\left(SO_4\right)_3}=0,08\left(mol\right)\\n_{NaOH\left(dư\right)}=0,06\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\) NaOH p/ứ hết

\(\Rightarrow\left\{{}\begin{matrix}n_{Na_2SO_4}=0,04\cdot3+0,02\cdot3=0,18\left(mol\right)\\n_{NaAlO_2}=0,06\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}C_{M_{Na_2SO_4}}=\dfrac{0,18}{0,5}=0,36\left(M\right)\\C_{M_{NaAlO_2}}=\dfrac{0,06}{0,5}=0,12\left(M\right)\end{matrix}\right.\)

Nhận thấy kết lớn nhất khi BaSO₄: 0,03 mol, Al(OH)₃: 0,04 mol

Vậy n_OH^-= 3×n_Al³⁺ = 0, 12 mol

n_K = 0,12 - 2×n_Ba(OH)2- n_NaOH = 0,03 mol → m_K = 1,17

Đáp án B