$K_2O + H_2O \to 2KOH$

Gọi $n_{K_2O} = a(mol) \to n_{KOH} = 2a(mol)$

$m_{dd} = 94a + 70,6(gam)$

Suy ra : 

$C\%_{KOH} = \dfrac{2a.56}{94a + 70,6}.100\% = 14\%$

$\Rightarrow a = 0,1(mol)$
$m_{K_2O} = 0,1.94 = 9,4(gam)$

2. Ta có: m_{KOH 20%} = \(\frac{200.20}{100}\) ₌ 40g

m_{KOH 10%} = m_KOH 20% = 40g

=>m_{dd KOH 10%}  = \(\frac{40.100}{10}\) = 400g

=> m_H2O = 400 - 200 =200g

đặt số mol oleum là x => số mol H2SO4 là \(\dfrac{89}{49}\)x

khối lượng dd sau phản ứng là  x *178 + 200

theo bài ta có (\(\dfrac{89}{49}\)x * 98)/(x*178+200)=0,2 => x=0,28 mol

=> m H2SO4.SO3=0,28*178=49,84 g

Gọi $m_{NaOH\ cần\ thêm} = a(gam)$

Sau khi pha : 

$m_{NaOH} = 200.5\% + a = 10 + a(gam)$

$m_{dd} = 200 + a(gam)$

Suy ra : 

$\dfrac{10 + a}{200 + a} = \dfrac{8}{100}$

$\Rightarrow a = 6,52(gam)$

dd la j bn

Ta có: \(C\%_{KOH}=\dfrac{m_{KOH}}{m_{KOH}+m_{H_2O}}.100\%\)

\(\Rightarrow\dfrac{m_{KOH}}{m_{KOH}+400}=0,12\)

\(\Rightarrow m_{KOH}=\dfrac{600}{11}\left(g\right)\)

a, \(n_{KOH}=\dfrac{8,4}{56}=0,15\left(mol\right)\)

\(\Rightarrow C_{M_{KOH}}=\dfrac{0,15}{0,5}=0,3\left(M\right)\)

b, \(n_{KOH\left(trong300mlA\right)}=0,3.0,3=0,09\left(mol\right)\)

Gọi: V_H2O = a (l)

\(\Rightarrow C_{M_A}=0,2=\dfrac{0,09}{a+0,3}\Rightarrow a=0,15\left(l\right)=150\left(ml\right)\)