\(n_{NaOH}=0.1\cdot0.1=0.01\left(mol\right)\)

\(n_{KOH}=0.1\cdot0.1=0.01\left(mol\right)\)

\(V=0.1+0.1=0.2\left(l\right)\)

\(\left[Na^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[K^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[OH^-\right]=\dfrac{0.01+0.01}{0.2}=0.1\left(M\right)\)

\(b.\)

\(pH=14+log\left[OH^-\right]=14+log\left(0.1\right)=13\)

\(c.\)

\(H^++OH^-\rightarrow H_2O\)

\(0.02........0.02\)

\(V_{dd_{H_2SO_4}}=\dfrac{0.02}{1}=0.02\left(l\right)\)

\(a.\)

\(n_{NaOH}=0.1\cdot0.1=0.01\left(mol\right)\)

\(n_{KOH}=0.1\cdot0.1=0.01\left(mol\right)\)

\(V=0.1+0.1=0.2\left(l\right)\)

\(\left[Na^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[K^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[OH^+\right]=\dfrac{0.01+0.01}{0.2}=0.1\left(M\right)\)

\(b.\)

\(pH=14+log\left(0.1\right)=13\)

\(c.\)

\(H^++OH^-\rightarrow H_2O\)

\(0.02.......0.02\)

\(V_{H_2SO_4}=\dfrac{0.02}{1}=0.02\left(l\right)\)

a) Ta có: \(n_{NaOH}=0,1\cdot0,1=n_{KOH}=0,01\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}n_{OH^-}=0,02\left(mol\right)\\n_{Na^+}=n_{K^+}=0,01\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\left[OH^-\right]=\dfrac{0,02}{0,2}=0,1\left(M\right)\\\left[Na^+\right]=\left[K^+\right]=\dfrac{0,01}{0,2}=0,05\left(M\right)\end{matrix}\right.\)

b) Ta có: \(pH=14+log\left[OH^-\right]=13\)

c) PT ion: \(OH^-+H^+\rightarrow H_2O\)

Theo PT ion: \(n_{H^+}=n_{OH^-}=0,02\left(mol\right)\)

\(\Rightarrow n_{H_2SO_4}=0,01\left(mol\right)\) \(\Rightarrow V_{ddH_2SO_4}=\dfrac{0,01}{1}=0,01\left(l\right)=10\left(ml\right)\)

1. \(n_{H_2SO_4\left(98\%\right)}=\dfrac{30.1,84.98\%}{98}=0,552\left(mol\right)\)

=>\(V_{H_2SO_4\left(1M\right)}=\dfrac{0,552}{1}=0,552\left(l\right)\)

\(n_{KOH}=0.1\cdot1=0.1\left(mol\right)\)

\(n_{H_2SO_4}=0.3\cdot0.5=0.15\left(mol\right)\)

\(2KOH+H_2SO_4\rightarrow K_2SO_4+H_2O\)

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

Dung dịch D : 0.05 (mol) K₂SO₄ , 0.1 (mol) H₂SO₄

\(\left[K^+\right]=\dfrac{0.05\cdot2}{0.1+0.3}=0.25\left(M\right)\)

\(\left[H^+\right]=\dfrac{0.1\cdot2}{0.1+0.3}=0.5\left(M\right)\)

\(\left[SO_4^{2-}\right]=\dfrac{0.05+0.1}{0.1+0.3}=0.375\left(M\right)\)

\(2NaOH+H_2SO_4\rightarrow K_2SO_4+H_2O\)

\(0.2..................0.1\)

\(V_{dd_{NaOH}}=\dfrac{0.2}{1}=0.2\left(l\right)\)

\(n_{KOH}=0.1\cdot1=0.1\left(mol\right)\)

\(n_{HCl}=0.1\cdot0.5=0.05\left(mol\right)\)

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

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

Dung dịch D : 0.05 (mol) KOH , 0.05 (mol) KCl

\(\left[K^+\right]=\dfrac{0.05+0.05}{0.1+0.1}=0.5\left(M\right)\)

\(\left[Cl^-\right]=\dfrac{0.05}{0.2}=0.25\left(M\right)\)

\(\left[OH^-\right]=\dfrac{0.05}{0.2}=0.25\left(M\right)\)

\(2KOH+H_2SO_4\rightarrow K_2SO_4+2H_2O\)

\(0.05.........0.025\)

\(V_{dd_{H_2SO_4}}=\dfrac{0.025}{1}=0.025\left(l\right)\)

a) 

\(m_{H_2SO_4}=\dfrac{300.19,6}{100}=58,8\left(g\right)\)

=> \(m_{dd.H_2SO_4.9,8\%}=\dfrac{58,8.100}{9,8}=600\left(g\right)\)

=> \(m_{H_2O\left(thêm\right)}=600-300=300\left(g\right)\)

b)

\(n_{HCl}=0,2.2=0,4\left(mol\right)\)

=> \(V_{dd.HCl.1,5M}=\dfrac{0,4}{1,5}=\dfrac{4}{15}\left(l\right)\)

=> \(V_{H_2O\left(thêm\right)}=\dfrac{4}{15}-0,2=\dfrac{1}{15}\left(l\right)=\dfrac{200}{3}\left(ml\right)\)

=> \(m_{H_2O\left(thêm\right)}=\dfrac{200}{3}.1=\dfrac{200}{3}\left(g\right)\)

Với 200ml=0.2l dd H2SO4 0.5M => nH2SO4 = 0.2 x 0.5 = 0.1 (mol)

Với 300ml=0.3l dd H2SO4 1M => nH2SO4 = 1x0.3 = 0.3 (mol)

nH2SO4 = 0.1 + 0.3 = 0.4 (mol)

Vdd = 200 + 300 = 500 ml = 0.5 l

CM X = 0.4/0.5 = 0.8 M

H2SO4 + 2NaOH => Na2SO4 + 2H2O

==> nNaOH = 0.8 x 2 = 1.6 M

mNaOH = n.M = 1.6 x 40 = 64 (g)

mddNaOH = 64 x 100/ 20 = 320 (g)

sử dụng quy tắc đường chéo ( ở đây ko có chức năng nối nên mình ko nối vào cho bạn thấy rõ được)

15% < C% < 30% ( * )

200g dd H2SO4 15%                                                                     30% - C%

                                                                      C%

300g dd H2SO4 30%                                                                      C% - 15%

200/300 = 2/3 = ( 30 - C ) / ( C - 15 )  <=>  2C - 30= 90 - 3C

                                                                  <=>   5C = 120

                                                                  <=>       C = 24 (%) ( thỏa mãn * )

Câu 1 : 

Gọi $n_{SO_3} = a(mol)$

$SO_3 + H_2O \to H_2SO_4$

Sau khi pha : 

$m_{dd} = 80a + 200(gam)$
$m_{H_2SO_4} = 98a + 200.9,8\% = 98a + 19,6(gam)$

Suy ra : $C\%_{H_2SO_4} = \dfrac{98a + 19,6}{200 + 80a}.100\% = 49\%$
$\Rightarrow a = 1,333(mol)$
$m_{SO_3} = 1,333.80 = 106,64(gam)$

Gọi $m_{oleum} = a(gam) ;  m_{H_2SO_4} = b(gam)$
Ta có : 

Sau khi trộn  :

$m_{oleum} = a + b(gam)$
$m_{SO_3} = a.71\% = 0,71a(gam)$

$\Rightarrow \%SO_3 = \dfrac{0,71a}{a + b}.100\% = 62\%$

$\Rightarrow a + b = 0,4402a$

$\Rightarrow \dfrac{a}{b} = \dfrac{1}{1 - 0,4402} = 1,78$

1.

\(m_{H_2SO_4\left(9.8\%\right)}=200\cdot9.8\%=19.6\left(g\right)\)

\(n_{H_2SO_4}=\dfrac{19.6}{98}=0.2\left(mol\right)\)

\(TC:n_{SO_3}=a\left(mol\right)\)

\(SO_3+H_2O\rightarrow H_2SO_4\)

\(a................a\)

\(m_{H_2SO_4\left(tt\right)}=98a\left(g\right)\)

\(m_{H_2SO_4\left(tổng\right)}=19.6+98a\left(g\right)\)

\(m_{dd_{H_2SO_4}}=200+80a\left(g\right)\)

\(C\%_{H_2SO_4}=\dfrac{19.6+98a}{200+80a}\cdot100\%=49\%\)

\(\Rightarrow a=\dfrac{4}{3}\)

\(m_{SO_3}=\dfrac{4}{3}\cdot80=106.67\left(g\right)\)