On a hot summer day, you are trying to fill a small pool in your backyard to soak your feet. Water flows out of your garden hose and into the pool at a rate of 100 kg/min. However, your little brother has cut a hole in the bottom of your pool as a prank. The hole at the bottom is 3 cm, and water leaves with a velocity of 2 m/s. You notice that it takes you 20 minutes to change the level of the water by 0.3 m.
What is the diameter of your pool?

Air inially occupying a volume of 1 m2 at 100 kpa, 27 c undergoes three internally reversible processes in series. process 1-2 compression to 500 kpa during which pv constant process 2-3 adiabatic expanslon to 100 kpa process 3-1: constant-pressure expansion to 100 kpa (a) calculate the change of entropy for each of the three processes. (b) calculate the heat and work involved in each process. (c) is this cycle a power cycle or refrigeration cycle?