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 0.559 times that of the initial number of microstates?

Explanation:

According to Boltzmann formula of entropy,

                      S = K ln(W)

where,     S = Entropy

        K = Boltzmann constant =

         W = Number micro-states

This equation is valid if total energy is constant and we are assuming here that the total energy is constant over here.

Let initial = 1 then final = 0.487

Now,  

                         =

                         =

                         =

the answer is kevlar