   Chapter 17, Problem 28E

Chapter
Section
Textbook Problem

# Consider the following illustration of six molecules of gas in a two-bulbed flask. a. What is the most likely arrangement of molecules? How many microstates are there for this arrangement?b. Determine the probability of finding the gas in its most likely arrangement.

(a)

Interpretation Introduction

Interpretation: The most likely arrangement of given six molecules of a gas in a two-bulbed flask, number of microstates for this arrangement, probability of finding the gas in its most likely arrangement is to be stated.

Concept introduction: The arrangements of the gaseous molecules are determined by the positional probability which is number of microstates a molecule can have. A microstate is a configuration that a molecule achieves with certain probability.

To determine: The most likely arrangement of given six molecules of a gas in a two-bulbed flask and number of microstates for this arrangement.

Explanation

Explanation

The most likely arrangement is the arrangement having maximum number of microstates. For given six molecules the most likely arrangement is,

Figure 1

The value of microstates that a molecule can attain is calculated by the formula.

Numberofmicrostates=(2)n

Where,

• n is number of molecules.

The number of molecules in the given flask is 6 .

Substitute the value of n for the given six molecules

(b)

Interpretation Introduction

Interpretation: The most likely arrangement of given six molecules of a gas in a two-bulbed flask, number of microstates for this arrangement, probability of finding the gas in its most likely arrangement is to be stated.

Concept introduction: The arrangements of the gaseous molecules are determined by the positional probability which is number of microstates a molecule can have. A microstate is a configuration that a molecule achieves with certain probability.

To determine: The probability of finding the gas in its most likely arrangement.

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