It is known that the kinetics of recrystallization for some alloy obeys the Avrami equation and that the value of n is 3.1. If the fraction recrystallized is 0.30 after 20 min, determine the rate of recrystallization.

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?