Vulcanization processes enable important technological development, especially for tires, but it's a pretty inefficient. Typically it takes 45-50 sulfur atoms for each cross link. The rubber must be kept around 140 ^oC for many hours a slow an inefficient process. Accelerators can be used to facilitate vulcanization reactions and reduce the amount of sulfur. If an engineered vulcanization process requires 15 atom of sulfur for every monomer of isoprene to get the desired degree of cross-linking, how many kilograms of sulfur are needed to produce 500 killograms of butadiene rubber? Hint: atomic weights are: S = 32 amu, C = 12 amu, H = 1 amu.