\(n_{Na_2O}=\dfrac{a}{62}\left(mol\right)\)

\(m_{dd}=a+b\left(g\right)\)

`Na_2O + H_2O -> 2NaOH`

Theo PT: `n_{NaOH} = 2n_{Na_2O} = a/(31) (mol)`

\(\Rightarrow C\%_{NaOH}=\dfrac{40.\dfrac{a}{31}}{a+b}.100\%=10\%\)

\(\Leftrightarrow\dfrac{40a}{31}=0,1\left(a+b\right)\\ \Leftrightarrow\dfrac{369a}{310}=0,1b\\ \Leftrightarrow\dfrac{a}{b}=\dfrac{0,1}{\dfrac{369}{310}}=\dfrac{31}{369}\)

Hay `a : b = 31 : 369`

\(Na_2O+H_2O->2NaOH\\ C\%=0,1=\dfrac{\dfrac{a}{62}\cdot2\cdot40}{a+b}\\ 0,1a+0,1b=\dfrac{40}{31}a\\ 0,1b=\dfrac{369}{310}a\\ a:b=\dfrac{0,1}{\dfrac{369}{310}}=\dfrac{31}{369}=0,08401\)

a/

\(n_{Na_2O}=\dfrac{9,3}{62}=0,15\left(mol\right)\)

\(Na_2O+H_2O\rightarrow2NaOH\)

0,15 0,3 (mol)

\(m_{NaOH}=0,3.40=12\left(g\right)\)

\(m_A=90,7+9,3=100\left(g\right)\)

\(C\%_{NaOH}=\dfrac{12}{100}.100\%=12\%\)

b/

m\(_{FeSO_4}=\dfrac{16.200}{100}=32\left(g\right)\)

\(\rightarrow m_{FeSO_4}=\dfrac{32}{152}=\dfrac{4}{19}\left(mol\right)\)

\(2NaOH+FeSO_4\rightarrow Na_2SO_4+Fe\left(OH\right)_2\downarrow\)

bđ: 0,3 \(\dfrac{4}{19}\) 0 0 (mol)

pư: 0,3 0,15 0,15 0,15 (mol)

dư: 0 \(\dfrac{23}{380}\) (mol)

\(m_{Fe\left(OH\right)_2}=0,15.90=13,5\left(g\right)\)

\(m_C=100+200-13,5=286,5\left(g\right)\)

\(m_{Na_2SO_4}=0,15.142=21,3\left(g\right)\)

\(\rightarrow C\%_{Na_2SO_4}=\dfrac{21,3}{286,5}.100\%\approx7,4\%\)

\(m_{FeSO_4\left(dư\right)}=\dfrac{23}{380}.152=9,2\left(g\right)\)

\(\rightarrow C\%_{FeSO_4\left(dư\right)}=\dfrac{9,2}{286,5}.100\%\approx3,2\%\)

Gọi $n_{Na_2O} = 2a(mol) \Rightarrow n_{K_2O} = a(mol)$
$\Rightarrow 2a.62 + 94a = 21,8 \Rightarrow a = 0,1(mol)$
$Na_2O + H_2O \to 2NaOH$
$K_2O + H_2O \to 2KOH$

$n_{NaOH} = 2n_{Na_2O} = 0,4(mol)$
$n_{KOH} = 2n_{K_2O} = 0,2(mol)$
$C_{M_{NaOH}} = \dfrac{0,4}{0,5} = 0,8M$
$C_{M_{KOH}} = \dfrac{0,2}{0,5} = 0,4M$

$m_{dd} = D.V = 1,04.500 = 520(gam)$
$C\%_{NaOH} = \dfrac{0,4.40}{520}.100\% = 3,1\%$
$C\%_{KOH} = \dfrac{0,2.56}{520}.100\% = 2,15\%$

Chọn đáp án D

Chọn D.

Sửa đề: 9,2 gam Na

\(a,n_{Na_2O}=\dfrac{9,2}{23}=0,4\left(mol\right)\)

PTHH: \(Na_2O+H_2O\rightarrow2NaOH\)

            0,4------------------>0,8

\(\rightarrow C_{M\left(NaOH\right)}=\dfrac{0,8}{0,5}=1,6M\)

\(b,n_{K_2O}=\dfrac{37,6}{94}=0,4\left(mol\right)\)

PTHH: \(K_2O+H_2O\rightarrow2KOH\)

            0,4----------------->0,8

\(\rightarrow C\%_{KOH}=\dfrac{0,8.56}{362,4+37,6}.100\%=11,2\%\)

Đáp án : C.

Xét Na : n H 2 = 1 2 n N a = a 46 m o l

Bảo toàn khối lượng :

m_{dd sau} = m_Na + m H 2 O – m H 2  = a + p – 2.  a 46 (g)

=> C%_NaOH = x %

Xét Na₂O

=> m_{dd sau} = m N a 2 O + m H 2 O = b + p