A cylinder is confined in a cylinder by a spring-loaded, frictionless piston so that the pressure in the fluid is a linear function of the volume and is given as P=a+bV, where a and b are constants and V is the volume. The internal energy of the fluid is given by the following equation
U = 34+ 3.15PV,
Where U is in kJ, P in KPa and V in m^3 in the expressions. If the fluid changes from an initial stage of 170KPa, 0.03m^3 to a final state of 400 KPa and 0.06 m^3, with no work other than that done on the piston. Answer the following:
a. What is the change in internal energy of the system?
b. What are the values of constant a and b?
c. Find the direction and magnitude of the work done this process?
d. Find the direction and magnitude of the heat transfer during the process?