Boltzmann's Principle in statistical thermodynamics states that the entropy of a system, S, is proportional to the natural logarithm of the number of possible states in which the system could be, Q. a) Write Boltzmann's Principle as a mathematical equation. Name your proportionality con- stant kB. b) Find the inverse of S($2) and describe its meaning. c) If S = 1.25 x 10-22, find the number of possible system states to the nearest whole number given that KB = 1.38 x 10 2 m kg s . K . (tip: to ensure accuracy, don't round any decimals until your final answer.)