Chapter 18.3, Problem 2RC

Interpretation Introduction

Interpretation: the value of change in entropy for the given system is to be identified from the given options.

Concept introduction:

In Spontaneous process, energy transfer from higher concentration to lower, or the energy is dispersed.

Entropy (S) is the quantity to measure the dispersal of energy in the spontaneous processes.

Microstates of system are the number of ways of distribution of its energy over its each atoms or particles.

According to Boltzmann, the entropy and the microstates of a system are directly proportional.

$\begin{array}{l}S=k\ln W\\ \Rightarrow \Delta S=k(\ln W_{final}/\ln W_{initial})\end{array}$