\(a.n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\\2 K+2H_2O\xrightarrow[]{}2KOH+H_2\\ n_K=0,5.2=1\left(mol\right)\\ m_K=1.39=39\left(g\right)\\b.n_{KOH}=n_K=1mol\\ m_{KOH}=1.56=56\left(g\right)\\ m_{H_2}=0,5.2=1\left(g\right)\\ m_{ddKOH}=200+39-1=238\left(g\right)\\ C_{\%KOH}=\dfrac{56}{238}\cdot100=23,53\%\)