Irdov Problem 1.314

The work done dW in compressing a fluid by an infinitesimally small amount dV is given by PdV, where P is the pressure acting on the fluid (this comes from the fact that dW = Fdx = PAdx = PdV). The compressibility is defined as . Thus, the work done dW in increasing the pressure by dP over a volume of fluid V, is given by. The energy of elastic deformation stored in water of volume V is the work done in increasing pressure to P from 0 and is given by,



Since, at a depth h, the pressure of water is pgh, where density of water is p.