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Quantitative relationship between entropy and number of microstates The connection between the number of microstates, W, and the entropy, S, of a system is expressed by the Boltzmann equation S = k ln W where k is the Boltzmann constant per molecule (particle), 1.38 x 10-23 J/(K particle). From this equation the entropy change, AS, for a system can be related to the change in the number of microstates as W final Winitial where Wfinal in the final number of microstates and Winitial is the initial number of microstates. Part B A gaseous system undergoes a change in temperature and volume. What is the entropy change for a particle in this system if the final number of microstates is 0.614 times that of the initial number of microstates? Express your answer numerically in joules per kelvin per particle. ▸ View Available Hint(s) AS= AS = k ln [5] ΑΣΦ ? J/(K particle)