$K_2SO_4 + BaCl_2  \to BaSO_4 + 2KCl$
$n_{BaCl_2} = n_{K_2SO_4} = 0,2.1 = 0,2(mol)$
$V_{dd\ BaCl_2} = \dfrac{0,2}{1,5} = 0,1333(lít)$

\(n_{NaOH}=0.2\cdot0.5=0.1\left(mol\right)\)

\(n_{CuSO_4}=0.1\cdot2=0.2\left(mol\right)\)

\(2NaOH+CuSO_4\rightarrow Na_2SO_4+Cu\left(OH\right)_2\)

\(0.1.............0.05...............0.05...........0.05\)

\(m_{Cu\left(OH\right)_2}=0.05\cdot98=4.9\left(g\right)\)

\(C_{M_{Na_2SO_4}}=\dfrac{0.05}{0.2+0.1}=0.167\left(M\right)\)

\(C_{M_{CuSO_4\left(dư\right)}}=\dfrac{0.2-0.05}{0.1}=1.5\left(M\right)\)

\(n_{AlCl_3}=0.2\cdot1=0.2\left(mol\right)\)

\(n_{NaOH}=0.5V\left(mol\right)\)

\(n_{Al_2O_3}=\dfrac{5.1}{102}=0.05\left(mol\right)\)

\(2Al\left(OH\right)_3\underrightarrow{^{^{t^0}}}Al_2O_3+3H_2O\)

\(0.1...............0.05\)

TH1 : Al(OH)₃ không bị hòa tan.

\(AlCl_3+3NaOH\rightarrow Al\left(OH\right)_3+3NaCl\)

\(0.1...........0.3................0.1\)

\(\Leftrightarrow V=\dfrac{0.3}{0.5}=0.6\left(l\right)\)

TH2 : Al(OH)₃ bị hòa tan một phần 
\(AlCl_3+3NaOH\rightarrow Al\left(OH\right)_3+3NaCl\)

\(0.2...........0.6................0.2\)

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

\(0.5V-0.6...0.5V-0.6\)

\(n_{Al\left(OH\right)_3}=0.2+0.5V-0.6=0.1\left(mol\right)\)

\(\Rightarrow V=1\left(l\right)\)

a/ \(n_{KOH}=0,2.1=0,2\left(mol\right);n_{H_2SO_4}=0,3.1=0,3\left(mol\right)\)

PTHH: 2KOH + H₂SO₄ → K₂SO₄ + 2H₂O

Mol:        0,2         0,1            0,1

Ta có: \(\dfrac{0,2}{2}< \dfrac{0,3}{1}\) ⇒ KOH hết, H₂SO₄ dư

b/ \(m_{H_2SO_4dư}=\left(0,3-0,1\right).98=19,6\left(g\right)\)

c/ V_{dd sau pứ} = 0,2 + 0,3 = 0,5 (l)

d/ \(C_{M_{ddK_2SO_4}}=\dfrac{0,1}{0,5}=0,2M\)

 \(C_{M_{ddH_2SO_4dư}}=\dfrac{0,3-0,1}{0,5}=0,4M\)

a)

$K_2SO_4 + BaCl_2 \to BaSO_4 + 2KCl$

b)

$n_{K_2SO_4} = 0,2.2 = 0,4(mol)$
$n_{BaCl_2} = 0,3.1 = 0,3(mol)$

Ta thấy : 

$n_{K_2SO_4} : 1 > n_{BaCl_2} : 1$ nên $K_2SO_4$ dư

$n_{BaSO_4} = n_{BaCl_2} = 0,3(mol)$
$m_{BaSO_4} = 0,3.233 = 69,9(gam)$

c) $n_{K_2SO_4} = 0,4 - 0,3 = 0,1(mol)$

$V_{dd\ sau\ pư} = 0,2 + 0,3 = 0,5(lít)$

$C_{M_{K_2SO_4} } = \dfrac{0,1}{0,5} = 0,2M$
$C_{M_{KCl}} = \dfrac{0,6}{0,5} = 1,2M$

2NaOH + CuSO4 → Cu(OH)2 + Na2SO4

n NaOH = 0,2.5 = 1(mol)

n CuSO4 = 0,1.2 = 0,2(mol)

Ta có :

n NaOH / 2 = 0,5 > n CuSO4 / 1 = 0,2 => NaOH dư

n Cu(OH)2 = n CuSO4 = 0,2 mol

=> m A = 0,2.98 = 19,6 gam

n Na2SO4 = n CuSO4 = 0,2 mol

n NaOH pư = 2n CuSO4 = 0,4(mol)

V dd = 0,2 + 0,1 = 0,3(lít)

Suy ra:

CM Na2SO4 = 0,2/0,3 = 0,67M

CM NaOH = (1 - 0,4)/0,3 = 2M