\(C\%=\dfrac{30}{170}.100\%=17,647\%\) 
\(V_{\text{dd}}=\left(30+170\right)1,1=220ml\) 
\(n_{NaCl}=\dfrac{30}{58,5}=0,513mol\)
\(C_M=\dfrac{0,513}{0,22}=0,696M\)

\(C\%_{NaCl}=\dfrac{30}{170+30}.100\%=15\%\\ C_M=C\%.\dfrac{10D}{M}=10.\dfrac{10.1,1}{58,5}=1,88M\)

\(n_{Na_2CO_3}=\dfrac{10,6}{106}=0,1\left(mol\right)\\ \rightarrow C_{M\left(Na_2CO_3\right)}=\dfrac{0,1}{0,2}=0,5M\)

Ta có: \(C\%=\dfrac{C_M.M}{10.D}\)

\(\rightarrow C\%=\dfrac{0,5.106}{10.1,05}=5,05\%\)

\(n_{Na_2CO_3}=n_{Na_2CO_3\cdot10H_2O}=\dfrac{57.2}{106+18\cdot10}=0.2\left(mol\right)\)

\(C_{M_{Na_2CO_3}}=\dfrac{0.2}{0.4}=0.5\left(M\right)\)

\(m_{Na_2CO_3}=0.2\cdot106=21.2\left(g\right)\)

\(m_{dd}=400\cdot1.05=420\left(g\right)\)

\(C\%_{Na_2CO_3}=\dfrac{21.2}{420}\cdot100\%=5.04\%\)

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

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

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

2

b

mNaCl=\(\dfrac{200.15}{100}\)=30(g)

nNaCl=\(\dfrac{30}{58,5}\)=0.51(mol)

VddNaCl=\(\dfrac{200}{1,1}\)=181.8(ml)=0.1818(l)

CMNaCl=\(\dfrac{0,51}{0,1818}\)=2.8(M)

\(Na+H_2O->NaOH+\dfrac{1}{2}H_2\\ a.n_{Na}=\dfrac{m_1}{23}\left(mol\right)\\ m_{ddsau}=\dfrac{m_1}{23}+m_2-\dfrac{m_1}{46}=\dfrac{m_1}{46}+m_2\left(g\right)\\ C\%_B=\dfrac{\dfrac{40}{23}m_1}{\dfrac{m_1}{46}+m_2}\cdot100\%.\\ b.C_M=\dfrac{10dC\%}{M}=10\cdot1,2\cdot\dfrac{0,05}{40}=0,015\left(M\right)\)

\(Na+H_2O->NaOH+\dfrac{1}{2}H_2\\ a.n_{Na}=\dfrac{m_1}{23}\left(mol\right)\\ m_{ddsau}=m_1+m_2-\dfrac{m_1}{23}=\dfrac{22}{23}m_1+m_2\left(g\right)\\ C\%_B=\dfrac{\dfrac{40}{23}m_1}{\dfrac{22}{23}m_1+m_2}\cdot100\%.\\ b.C_M=\dfrac{10dC\%}{M}=10\cdot1,2\cdot\dfrac{0,05}{40}=0,015\left(M\right)\)

\(n_{Na}=\dfrac{2.3}{23}=0.1\left(mol\right)\)

\(m_{NaOH\left(10\%\right)}=100\cdot10\%=10\left(g\right)\)

\(n_{NaOH\left(10\%\right)}=\dfrac{10}{40}=0.25\left(mol\right)\)

\(Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\)

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

\(\sum n_{NaOH}=0.25+0.1=0.35\left(mol\right)\)

^{\(m_{NaOH}=0.35\cdot40=14\left(g\right)\)}

\(m_{\text{dung dịch sau phản ứng}}=2.3+100-0.05\cdot2=102.2\left(g\right)\)

\(C\%_{NaOH}=\dfrac{14}{102.2}\cdot100\%=13.7\%\)

\(V_{dd}=\dfrac{102.2}{1.05}=97.33\left(ml\right)=0.0973\left(l\right)\)

\(C_{M_{NaOH}}=\dfrac{0.35}{0.0973}=3.6\left(M\right)\)