\(n_K=\dfrac{3.9}{39}=0.1\left(mol\right)\)
\(K+H_2O\rightarrow KOH+\dfrac{1}{2}H_2\)
\(0.1...................0.1.....0.05\)
\(m_{H_2O}=26.2\cdot1=26.2\left(g\right)\)
\(m_{KOH}=0.1\cdot56=5.6\left(g\right)\)
\(m_{\text{dung dịch sau phản ứng}}=m_K+m_{H_2O}-m_{H_2}=3.9+26.2-0.05\cdot2=30\left(g\right)\)
\(C\%_{KOH}=\dfrac{5.6}{30}\cdot100\%=18.67\%\)