A: H₂SO₄ : C_A (M)

B₁: NaOH : C₁ (M)

B₂: NaOH: C₂ (M)

TH₁: V_B1: V_B2 = 1: 1 => gọi thể tích của mỗi chất là V

Nồng độ của NaOH sau khi trộn là: C_M = n : V

TH₂: V_B1 : V_B2 = 2 : 1 => Đặt V_B2 = V (lít) thì V_B1 = 2V (lít)

Nồng độ của NaOH sau khi trộn là:

Ta có: 

\(C_{M\left(H_2SO_4\right)}=a;C_{M\left(NaOH\right)}=b\\ H_2SO_4+2NaOH->Na_2SO_4+2H_2O\\ 0,015a\cdot2-0,036b=0\\ Ba\left(OH\right)_2+H_2SO_4->BaSO_4+2H_2O\\ 0,04a=\dfrac{0,056b}{2}+\dfrac{0,466}{233}=0,028b+0,002\\ a=0,12M;b=0,1M\)

a)

$BaCl_2 + H_2SO_4 \to BaSO_4 + 2HCl$
$n_{BaCl_2} = 0,1 < n_{H_2SO_4} = 0,2$ nên $H_2SO_4$ dư

$n_{BaSO_4} = n_{BaCl_2} = 0,1(mol)$
$m_{BaSO_4} = 0,1.233 = 23,3(gam)$

b)

A gồm :

$HCl : 0,1.2 = 0,2(mol)$
$H_2SO_4\ dư : 0,2 - 0,1 = 0,1(mol)$
$V_{dd} = 0,1 + 0,1= 0,2(lít)$

$C_{M_{HCl}} = \dfrac{0,2}{0,2} = 1M$
$C_{M_{H_2SO_4}} = \dfrac{0,1}{0,2} = 0,5M$

c)

$2NaOH + H_2SO_4 \to Na_2SO_4 + 2H_2O$
$n_{NaOH} = 2n_{H_2SO_4\ dư} = 0,2(mol)$
$m_{dd\ NaOH} = \dfrac{0,2.40}{15\%} = 53,33(gam)$

\(n_{Na_2O}=\dfrac{15,5}{62}=0,25\left(mol\right)\\ PTHH:Na_2O+H_2O\rightarrow2NaOH\\ n_{NaOH}=2.0,25=0,5\left(mol\right)\\ a,C_{MddNaOH}=\dfrac{0,5}{0,5}=1\left(M\right)\\ b,2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O\\ n_{H_2SO_4}=n_{Na_2SO_4}=\dfrac{0,5}{2}=0,25\left(mol\right)\\ m_{H_2SO_4}=0,25.98=24,5\left(g\right)\\ m_{ddH_2SO_4}=\dfrac{24,5.100}{20}=122,5\left(g\right)\\ V_{ddH_2SO_4}=\dfrac{122,5}{1,14}\approx107,456\left(ml\right)\\ c,V_{ddsau}=V_{ddNaOH}+V_{ddH_2SO_4}\approx0,5+0,107456=0,607456\left(l\right)\\C_{MddNa_2SO_4}\approx\dfrac{ 0,25}{0,607456}\approx0,411552\left(M\right)\)

\(a,2NaOH+MgSO_4\rightarrow Mg\left(OH\right)_2+Na_2SO_4\\ n_{NaOH}=0,5.1=0,5\left(mol\right)\\ b,n_{Mg\left(OH\right)_2}=\dfrac{0,5}{2}=0,25\left(mol\right)=n_{Na_2SO_4}\\ m_{kt}=m_{Mg\left(OH\right)_2}=58.0,25=14,5\left(g\right)\\ c,V_{ddX}=V_{ddNaOH}+V_{ddMgSO_4}=0,5+0,5=1\left(l\right)\\ C_{MddNa_2SO_4}=\dfrac{0,25}{1}=0,25\left(M\right)\)

\(a,PTHH:Na_2O+H_2O\rightarrow2NaOH\\ \Rightarrow n_{NaOH}=2n_{Na_2O}=2\cdot\dfrac{37,2}{62}=0,6\cdot2=1,2\left(mol\right)\\ \Rightarrow C_{M_{NaOH}}=\dfrac{1,2}{0,5}=2,4M\\ b,PTHH:2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\\ \Rightarrow n_{H_2SO_4}=\dfrac{1}{2}n_{NaOH}=0,6\left(mol\right)\\ \Rightarrow m_{H_2SO_4}=0,6\cdot98=58,8\left(g\right)\\ \Rightarrow m_{dd_{H_2SO_4}}=\dfrac{58,8\cdot100\%}{20\%}=294\left(g\right)\\ \Rightarrow V_{dd}=\dfrac{294}{1,14}\approx257,9\left(ml\right)\)

phương trình câu b cân bằng sai rồi bạn ơi

a)\(n_{K_2O}=\dfrac{23,5}{94}=0,25mol\)

\(K_2O+H_2O\rightarrow2KOH\)

0,25      0,25       0,5

\(C_M=\dfrac{0,5}{0,5}=1M\)

b)Để trung hòa: \(n_{H^+}=n_{OH^-}=0,5\)

   \(\Rightarrow n_{H_2SO_4}=\dfrac{1}{2}n_{H^+}=0,25mol\)

   \(m_{H_2SO_4}=0,25\cdot98=24,5g\)

   \(\Rightarrow m_{ddHCl}=\dfrac{24,5\cdot100\%}{60\%}=\dfrac{245}{6}g\)

   Thể tích dung dịch:

   \(V=\dfrac{m}{D}=\dfrac{\dfrac{245}{6}}{1,5}\approx27,22ml\)

\(n_{K_2O}=\dfrac{23,5}{94}=0,25\left(mol\right)\\ K_2O+H_2O\rightarrow2KOH\\ n_{KOH}=2.0,25=0,5\left(mol\right)\\ a,C_{M\text{dd}A}=C_{M\text{dd}KOH}=\dfrac{0,5}{0,5}=1\left(M\right)\\ b,2KOH+H_2SO_4\rightarrow K_2SO_4+2H_2O\\ n_{H_2SO_4}=\dfrac{0,5}{2}=0,25\left(mol\right)\\ m_{H_2SO_4}=0,25.98=24,5\left(g\right)\\ m_{\text{dd}H_2SO_4}=\dfrac{24,5.100}{60}=\dfrac{245}{6}\left(g\right)\\ V_{\text{dd}H_2SO_4}=\dfrac{\dfrac{245}{6}}{1,5}=\dfrac{245}{9}\left(ml\right)\approx27,222\left(ml\right)\)