# A fluid.. cylinder by a spring-loaded.. 190 kPa.. solved problem

#### 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), The internal energy of the fluid is given by the following equation U = 42 + 3.6pV where U is in kJ, p in kPa, and V in cubic metre. If the fluid changes from an initial state of 190 kPa, 0.035 m3 to a final state of 420 kPa, 0.07 m3, with no work other than that done on the piston, find the direction and magnitude of the work and heat transfer.

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), The internal energy of the fluid is given by the following equation

U = 42 + 3.6pV

where U is in kJ, p in kPa, and V in cubic metre. If the fluid changes from an initial state of 190 kPa, 0.035 m3 to a final state of 420 kPa, 0.07 m3, with no work other than that done on the piston, find the direction and magnitude of the work and heat transfer. 