\(n_{H_2}=0,1\left(mol\right)\)
\(H_2\left(0,1\right)+Cl_2-t^o->2HCl\left(0,2\right)\)
\(\Rightarrow n_{HCl}=0,2\left(mol\right)\)
\(n_{Ca\left(OH\right)_2}=0,125\left(mol\right)\)\(\Rightarrow n_{OH^-}=0,25\left(mol\right)\)
\(H^+\left(0,2\right)+OH^-\left(0,2\right)\rightarrow H_2O\)
\(\Rightarrow n_{OH^-}\left(dư\right)=0,05\left(mol\right)\)
\(\Rightarrow\left[0H^-\right]=0,01\left(M\right)\)
\(\Rightarrow pH=14-pOH=14-2=12\)