Like Problem $2-48$

Statement

In a frictionless piston$-$cylinder apparatus, there's initially $15$ kg of water at $20C$ under atmospheric pressure. An external force, denoted as F $,$ is exerted on the piston until the pressure within the cylinder reaches $150$ atm $.$ Assuming the water's compressibility coefficient remains constant during compression, calculate the energy required for the isothermal compression. The estimated energy needed is $274\mathrm{.}21$ J $.$

FIGURE P$2-48$