1. what do the letters P. P.E stand for in construction,?
2. what were the three types of P. P.E for our ¨eyes¨ ?
3. name two types of P. P.E for our ears (remember ear buds are not one of them)

Air is compressed isentropically from an initial state of 300 k and 101 kpa to a final temperature of 1000 k. determine the final pressure using the following approaches: (a) approximate analysis (using properties at the average temperature) (b) exact analysis