Consider the case of an adhesive joint created by bonding two poly(vinyl chloride) (PVC) (component A) sheets together with an epoxy adhesive (component B). The surface energies for the PVC solid surface, liquid epoxy, and PVC/epoxy interface are 47 erg/cm2, 41.7 erg/cm2, and 4.0 erg/cm2, respectively. (a) Calculate the work of cohesion (going from two interfaces to no interface) within the epoxy adhesive. This is the work required to separate epoxy bonds from one another. (b)Calculate the work of adhesion between one surface of the PVC sheet and the liquid epoxy. This is the work required to separate the epoxy from the PVC. (c) Calculate the free energy of spreading associated with epoxy 'wetting' the PVC. Will the epoxy spontaneously 'wet the PVC?