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)