Take the pressure vessel storing the xenon, in either the bulk or adsorbed phase, as a spherical shell composed of a homogeneous, elastic material. Let r [m] be the inner radius of the shell and t [m] be the (uniform) thickness of the vessel walls. Here, we relate the pressure P [bar] of (bulk or adsorbed) xenon inside the vessel to the resulting circumferential stress σ [bar] internal to the material composing the vessel walls. We use this relation to set the thickness of the walls of the vessel to safely contain the xenon without rupturing.