To convert mol/cm³ to ppmv, one must consider the gas's density and the air's density, using the formula ppmv = [(Gas density) / (Air density)] * 1.0e6. The term "ppmv" stands for "parts per million by volume," indicating its application primarily in gas measurements. It's crucial to convert all units to SI for accurate calculations, as the dimensional analysis shows that mol/cm³ and ppmv have different dimensions. Resources were shared for further understanding and sample calculations related to ppmv in gas contexts. The discussion emphasizes the importance of using the correct units and understanding the specific application of ppmv.