Energy density in general is a very critical factor that decides upon the overall weight and portability of a battery system. Although the rating in amp-hour (Ah) represents the capacity, voltage alone does much to determine energy density, hence the weight.
The reason can be deduced from the fact that 12V100Ah is of lower energy density compared to its 48V100Ah system. In other words, at the same capacity, the 48V system stores more energy on a reduced physical space. That means that usually, the battery for a system rated at 48V100Ah would be lighter and smaller in size compared to its 12V counterpart.
Because the higher voltage of the system is enabled to store more energy per unit volume, a 48V system would have higher energy density. This feature sets the 48V batteries apart as more suitable for applications where weight and portability are at critical issue in EVs, RVs, and mobile power systems.
In reality, however, the final weight of a 12V 100Ah battery system is not very different from that of a 48V 100Ah or vice versa, particularly when it relates to different chemistries, constructions, and designs. Certain high-performance 12V batteries can be engineered to be lighter than their 48V counterparts, although generally sacrificing energy density in the process.
Besides the weight of the battery system, there can be other issues related to portability. The general design of the system, including the casing of the BMS and interconnections, adds to the weight and ease with which the whole system is manipulated.
In other words, while both the 12V and 48V battery systems could be of the same capacity, in this case 100Ah, the former normally uses higher energy density to achieve lighter and more compact designs. This makes the 48-volt batteries very suitable for applications where weight and portability are the most critical concerns.