One-half kg of Refrigerant 134a is contained in a piston-cylinder assembly, initially a saturated vapor at 200 kPa. The refrigerant undergoes a process for which the pressure-specific volume relation is p v^1.3 = constant, to reach a final state of superheated vapor at 400 kPa. Kinetic and potential energy effects can be neglected.

a. Solve for the specific volume at the end of the process.
b. Give the final temperature, and final specific internal energy (linear interpolation may be needed)
c. Evaluate the work involved in the process, in kJ. Did the system do work?
d. Determine the heat involved, in kJ.

To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle , which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. as the satellite passes through a, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. the booster is again fired at b to insert the satellite into a geosynchronous orbit. knowing that the second firing increases the speed of the satellite by 4810ft/s, determine (a.) the speed of the satellite as it approaches b on the elliptic transfer orbit, (b.) the increase in speed resulting from the first firing at a.