Air containing gasoline vapor is admitted into the cylinder of an internal combustion engine at 1.00 atm pressure and 30 °C. The piston rapidly compresses the gas from 500 cm3 to 50 cm3, a compression ratio of 10. This type of compression is too rapid for heat to be transferred from the gas to the environment, so it can be modeled as an adiabatic compression. (a) What are the final temperature and pressure of the ? (b) Show the compression process on a pV diagram. (c) How much work is done to compress the gas? [air is a mixture of N2 and O2, diatomic gases, so use yair 1.4 L7. as 0]

Amerry-go-round of radius r, shown in the figure, is rotating at constant angular speed. the friction in its bearings is so small that it can be ignored. a sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. the sandbag does not slip or roll upon contact with the merry-go-round. how would you rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round from largest to smallest. a) m = 10kg, r = 0.25r b) m = 20kg, r = 0.25r c) m = 10kg, r = 0.50r d) m = 10kg, r = 1.0r e) m = 15kg, r = 0.75r f) m = 40kg, r = 0.25r