A handheld pump for a bicycle has a volume of 2 in.3 when fully extended. You now press the plunger (piston) in while holding your thumb over the exit hole so that an air pressure of 45 lbf/in.2 is obtained. The outside atmosphere is at Po, To. Consider two cases: (1) it is done quickly (∼1 s), and (2) it is done slowly (∼1 h).
a. State the assumptions about the process for each case.
b. Find the final volume and temperature for both cases.