Problem 6 A fluid is contained in a cylinder by a spring-loaded, frictionless piston so that the pressure in the fluid is a linear function of the volume (P=a+bV) where a and are constant. The internal energy of the fluid is given by the following equation U=42+3.6 PV where U is in KJ , p in kPa , and V in mi . If the fluid changes from an initial state of 190kPa 0.035 m to a final state of 420 kPa 0.07 m with no work other than that done on the piston, find the direction and magnitude of the (a) work and (b) heat transfer