Chapter 18, Problem 57P

You’re the product safety officer for a company that makes cycling accessories. You’re given a new design for a bicycle pump that includes a cylinder 32 cm long when the pump handle is all the way out. To keep the pump from getting too hot, you specify that the temperature rise should not exceed 75°C when the handle is pushed rapidly, with the outlet blocked, until the internal length of the cylinder is 16 cm. Assuming air initially at 18°C, does the pump meet your temperature-rise criterion?