1) Given: Three kilogram of gas in a piston-cylinder assembly undergo a process during which the relationship between pressure and specific volume is PV0.5 = C, where C is a constant. The process starts with P1 = 250 kPa and V1 = 1.5 m3 and ends with P2 = 100 kPa.
Find: a) The final specific volume and b) plot the process, pressure (y-axis) versus volume (x-axis), for two intermediate pressures. Make a precise sketch of the process using uniform scaling.
2) Given: An object whose weight is 100 lbf experiences a decrease in kinetic energy of 500 ft-lbf and an increase in potential energy of 1500 ft-lbf. The initial velocity and elevation of the object, each relative to the surface of the earth, are 40 ft/s and 30 ft.
Find: a) The final velocity (ft/s) and b) the final elevation (ft).
Assume: g = 32.17 ft/s2.