a gas contained within a piston$-$cylinder assembly is showen in Fig P$2\mathrm{.}70.$ initially, the piston face is at x$=0,$ and the spring exerts no force on the piston. as a result of heat transfer, the gas expands, raising the piston until it hits the stops. at this point the piston face is located at x$=0\mathrm{.}06$ m and the heat transfer ceases. the force exerted by the spring on the piston as the gas expands varies inearly with x according to F