Positron-impact electronic excitation cross sections, mean excitation energies and mass stopping power of the H2 molecule have been calculated for energies from 10 eV up to 2 keV using the convergent close-coupling method that utilizes single and two-center expansions. Results are compared to previous studies. Application of Bragg's rule of stopping power additivity is discussed by comparing results obtained for atomic (H) and molecular (H2) targets for positron impact.