In class, we have seen that work in all cases can be considered a generalized force times a generalized displacement. Mechanical work is thus defined as: w=PdV, likewise, the work associated with forming a surface or interface is w=dA, where denotes the surface/interfacial tension ( 16 pts). For a cube with an edge length increasing from 1cm to 4cm, please compute the work involved in: a. the increase in volume against a steady pressure of 1atm. b. The increase of interfacial area, with the interfacial tension being 65103 Nm1 (water-air interfacial tension at 20C ) c. Is the work from a greater or b greater? Please use the proper unit conversion and express the work in both cases in Joules