\(n_{NaOH}=0.25\cdot2=0.5\left(mol\right)\)

\(n_{H_2SO_4}=0.25\cdot1=0.25\left(mol\right)\)

\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)

\(0.5..............0.25................0.25\)

\(\left[Na^+\right]=\dfrac{0.25\cdot2}{0.25+0.25}=1\left(M\right)\)

\(\left[SO_4^{2-}\right]=\dfrac{0.25}{0.25+0.25}=0.5\left(M\right)\)

a)

$KOH + HCl \to KCl + H_2O$

$n_{KOH} = 0,3(mol) < n_{HCl} = 1,05(mol)$ nên HCl dư

$n_{HCl\ dư} = 1,05 -0 ,3 = 0,75(mol)$
$n_{KCl} = n_{KOH} = 0,3(mol)$

$V_{dd} = 0,3+ 0,7 = 1(lít)$
Suy ra : 

$[K^+] = \dfrac{0,3}{1} = 0,3M$
$[Cl^-] = \dfrac{0,75 + 0,3}{1} = 1,05M$
$[H^+] = \dfrac{0,75}{1} = 0,75M$

b)

$Ba(OH)_2 + 2HCl \to BaCl_2 + 2H_2O$
$n_{Ba(OH)_2} = \dfrac{1}{2}n_{HCl} = 0,375(mol)$

$V_{Ba(OH)_2} = \dfrac{0,375}{1,5} = 0,25(lít)$

\(n_{KOH}=0.3\cdot1=0.3\left(mol\right)\)

\(n_{HCl}=0.7\cdot1.5=1.05\left(mol\right)\)

\(KOH+HCl\rightarrow KCl+H_2O\)

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

Dung dịch D gồm : 0.3 (mol) KCl , 0.75 (mol) HCl dư

\(\left[K^+\right]=\dfrac{0.3}{0.3+0.7}=0.3\left(M\right)\)

\(\left[Cl^-\right]=\dfrac{0.3+0.75}{0.3+0.7}=1.05\left(M\right)\)

\(\left[H^+\right]=\dfrac{0.75}{0.3+0.7}=0.75\left(M\right)\)

\(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)

\(0.375..................0.75\)

\(V_{dd_{Ba\left(OH\right)_2}}=\dfrac{0.375}{1.5}=0.25\left(l\right)\)

\(V_{\text{dd}}=200+250=450ml=0,45l\\ n_{H_2SO_4}=\left(0,2.1\right)+\left(2.0,25\right)=0,7\left(mol\right)\\ C_M=\dfrac{0,7}{0,45}=1,5M\)

2HNO3+Ca(OH)2->Ca(NO3)2+2H2O

n HNO3=0,5 môl

n Ca(OH)2=0,25 mol

=> pứ hết => quỳ tím ko chuyển màu

\(m_{dd_{HCl\left(10\%\right)}}=150\cdot1.206=180.9\left(g\right)\)

\(n_{HCl}=\dfrac{180.9\cdot10\%}{36.5}\approx0.5\left(mol\right)\)

\(n_{HCl\left(2M\right)}=0.25\cdot2=0.5\left(mol\right)\)

\(n_{HCl}=0.5+0.5=1\left(mol\right)\)

\(V_{dd_{HCl}}=150+250=400\left(ml\right)=0.4\left(l\right)\)

\(C_{M_{HCl}}=\dfrac{1}{0.4}=2.5\left(M\right)\)

a) \(n_{NaOH}=0,2.1=0,2\left(mol\right)\); \(n_{HNO_3}=0,2.0,5=0,1\left(mol\right)\)

\(NaOH+HNO_3\rightarrow NaNO_3+H_2O\)

0,2.............0,1

Lập tỉ lệ : \(\dfrac{0,2}{1}>\dfrac{0,1}{1}\) => Sau phản ứng NaOH dư

Dung dịch D gồm NaNO3 và NaOH dư

\(n_{NaNO_3}=n_{HNO_3}=0,1\left(mol\right)\)

\(n_{NaOH\left(pứ\right)}=n_{HNO_3}=0,1\left(mol\right)\)

\(n_{NaOH\left(dư\right)}=0,2-0,1=0,1\left(mol\right)\)

Ion trong dung dịch D : Na+ , NO3-, OH-

\(\left[Na^+\right]=\dfrac{0,1+0,1}{0,2}=1M\)

\(\left[NO_3^-\right]=\dfrac{0,1}{0,2}=0,5M\)

\(\left[OH^-\right]=\dfrac{0,1}{0,2}=0,5M\)

b)Trong dung dịch D chỉ có NaOH dư phản ứng

 \(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)

0,1................0,05

=> \(V_{H_2SO_4}=\dfrac{0,05}{1}=0,05\left(l\right)\)

Tách ra lần bài đi em !

\(n_{HCl}=Cm.V=1.0,1=1mol\)

\(n_{H_2SO_4}=Cm.V=0,5.0,1=0,05mol\)

Thể thích của dd D là 200ml = 0,2l

\([H^+]=\frac{n_{HCl}+2.n_{H_2SO_4}}{V}=\frac{0,1+0,1}{0,2}=1M\)

\([Cl^-]=\frac{n_{HCl}}{V}=\frac{0,1}{0,2}=0,5M\)

\([SO_4^{2-}]=\frac{n_{H_2SO_4}}{V}=\frac{0,05}{0,2}=0,25M\)

Khi cho dd D vào \(Ba\left(OH\right)_2\) chỉ có \(H_2SO_4\) tác dụng, tạo kết tủa

\(H_2SO_4+Ba\left(OH\right)_2\rightarrow BaSO_4+2H_2O\)

\(0,05....\rightarrow0,05mol\)

\(\rightarrow m_{BaSO_4}=n.M=0,05.233=11,65g\)