a) \(n_{Na}=\dfrac{11,5}{23}=0,5\left(mol\right)\)

\(n_{NaOH}=\dfrac{8\%.500}{40}=1\left(mol\right)\)

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

0,5---------------->0,5------->0,25

\(\Sigma n_{NaOH}=0,5+1=1,5\left(mol\right)\)

\(m_{ddsaupu}=11,5+500-0,25.2=511\left(g\right)\)

=> \(C\%_{NaOH}=\dfrac{1,5.40}{511}.100=11,74\%\)

b) Gọi thể tích dung dịch X cần tìm là V

 \(n_{H^+}=V.1+V.0,5.1=2V\left(mol\right)\)

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

Ta có : \(n_{H^+}=n_{OH^-}=1,5\left(mol\right)\)

=> 2V=1,5

=> V=0,75(lít)

\(n_{Na}=\dfrac{13,8}{23}=0,6\left(mol\right)\\ pthh:Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\) 
          0,6                    0,6                  0,3 
\(V_{H_2}=0,3.22,4=6,72\left(l\right)\\ c,m_{\text{dd}}=13,8+286,8-\left(0,3.2\right)=300\left(g\right)\\ C\%=\dfrac{0,6.40}{300}.100\%=8\%\)

\(n_{Na}\) = \(\dfrac{13,8}{23}\) = 0,6 mol

Theo PTHH:

a) \(2Na+2H_2O\underrightarrow{t^o}2NaOH+H_2\)

     2          2           2                1 (mol)

    0,6 \(\rightarrow\) 0,6   \(\rightarrow\) 0,6     \(\rightarrow\)    0,3 (mol)

b) \(V_{H_2}\) = 0,3.22,4 = 6,72l

c) \(m_{dd}\) = 13,8 + 286,8  - 0,3.2 = 300g

\(C\%\) = \(\dfrac{0,6.40}{300}\).100% = 8%

\(n_{Na}=0.02\left(mol\right)\)

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

\(0.02....................0.02........0.01\)

\(V_{H_2}=0.01\cdot22.4=0.224\left(l\right)\)

\(m_{NaOH}=0.02\cdot40=0.8\left(g\right)\)

\(C\%_{NaOH}=\dfrac{0.8}{0.46+200-0.01\cdot2}\cdot100\%=0.4\%\)

\(n_{NaOH}=2.0,5=1\left(mol\right)\)

\(n_{KOH}=1.0,5=0,5\left(mol\right)\)

=> Chất tan có trong dung dịch thu được: \(\left\{{}\begin{matrix}NaOH:1\left(mol\right)\\KOH:0,5\left(mol\right)\end{matrix}\right.\)

\(m_{ddNaOH}=1,2.500=600\left(g\right)\)

\(m_{ddKOH}=1,2.500=600\left(g\right)\)

\(\Rightarrow m_{ddsau}=600+600=1200\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{NaOH}=\dfrac{1.40.100}{12000}=\dfrac{1}{3}\%\\C\%_{KOH}=\dfrac{0,5.56.100}{12000}=\dfrac{7}{30}\%\end{matrix}\right.\)

\(V_{ddsau}=0,5+0,5=1\left(l\right)\)

\(\Rightarrow\left\{{}\begin{matrix}C_{M_{NaOH}}=\dfrac{1}{1}=1\left(M\right)\\C_{M_{KOH}}=\dfrac{0,5}{1}=0,5\left(M\right)\end{matrix}\right.\)

mk làm mà ko chắc đâu nhé,mong mọi người góp ý

áp dụng sơ đồ đường chéo

0,5l dd NaOH 2M------------x-1 ( M)

--------------------------x(M)

0,5l dd KOH 1 M--------------2-x (M)

Ta có x-1= 2-x => x= 1,5 M

mdd NaOH = 500.1,2=600 gam

mdd KOH =500.1,2=600 gam

m_NaOH= (0,5.2).40=40 gam ->C%(NaOH)= 40.100%/600=20/3%

m_KOH=(0,5.1).56=28 gam -> C%(KOH) =28.100%/600=14/3 %

Áp dụng sơ đồ đường chéo ta tính được

C%=5,666%

a) n HCl = 0,2.2,5 = 0,5 mol

b) m HCl =200.7,3% = 14,6 gam

n HCl = 14,6/36,5 = 0,4 mol

c) m NaOH = 300.40% = 120 gam

n NaOH = 120/40 = 3(mol)

d) n NaOH = 0,5.0,5 = 0,25 mol