Chapter 17, Problem 17.55SP

Interpretation Introduction

Interpretation:

The number of molecules present in a collection of molecules in 50,000 boxes should be determined.

Concept introduction:

The measurement of the degree of disorders of a system is known as entropy. Greater the entropy when the disorder is higher. When the heat is added at a higher temperature the increase in entropy is small, but when heat is added at lower temperature the entropy is higher.

In an isolated chemical system all spontaneous changes occur due to increase in entropy. It basically comes from second law of thermodynamics where each system tries to reach the phase of equilibrium. Entropy such as enthalpy, pressure and temperature arethe state property and is denoted from the symbol ‘S’

or

According to the Boltzmann equation the entropy of any particular molecule in a particular state is linked in the manner how these states can be obtained and how many ways these states can be obtained.

Here K = Boltzmann constant,