\(n_{HNO_3}=0.25\cdot2=0.5\left(mol\right)\)
\(n_{Ca\left(OH\right)_2}=0.25\cdot1=0.25\left(mol\right)\)
\(Ca\left(OH\right)_2+2HNO_3\rightarrow Ca\left(NO_3\right)_2+2H_2O\)
\(0.25...............0.5.................0.25\)
\(\left[Ca^{2+}\right]=\dfrac{0.25}{0.25+0.25}=0.5\left(M\right)\)
\(\left[NO_3^-\right]=\dfrac{0.25\cdot2}{0.25+0.25}=1\left(M\right)\)