In the early 1990s, fusion involving hydrogen dissolved in palladium at room temperature, or cold fusion, was proposed as a new source of energy. This process relies on the diffusion ofH₂ into palladium. The diffusion of hydrogen gas through a 0.005-mathrmcm-thick piece of palladium foil with a cross section of 0.750~cm² is measured. On one side of the foil, a volume of gas maintained at 298~K and 1~atm is applied, while a vacuum is applied to the other side of the foil. After 24~h, the volume of hydrogen has decreased by 15.2~cm³. What is the diffusion coefficient of hydrogen gas in palladium?