Calculate the plume rise from a 0.5 meter diameter smokestack emitting 5 m3/s of air at 500 degrees celsius. data from a nearby meteorologic station indicates the average wind speed in the area is 5 m/s, the environemntal temperature at the height of the stack is 280 degrees celsius and the potential temperature gradient is -0.01 degrees/m.

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?