Express your answer numerically in joules per kelvin per particle

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 0.838 times that of the initial number of microstates?Express your answer numerically in joules per kelvin per particleBackground data:The connection between the number of microstates W and the entropy S of a system is expressed by the Boltzmann equationS=klnWwhere k is the Boltzmann constant per molecule (particle) 1.38 x 10 ^ -23 J/(K * particle). From this equation the entropy change ?S for a system can be related to the change in the number of microstates as?S=klnW(Wfinal / Winitial)where Wfinal is the final number of microstates and Winitial is the initial number of microstates