   Chapter 18, Problem 18PS

Chapter
Section
Textbook Problem

Which substance has the higher entropy? (a) a sample of pure silicon (to be used in a computer chip) or a piece of silicon containing a trace of another element such as boron or phosphorus (b) O2(g) at 0 °C or O2(g) at −50 °C (c) I2(s) or I2(g), both at room temperature (d) one mole of O2(g) at 1 bar pressure or one mole of O2(g) at 0.01 bar pressure (both at 298 K)

(a)

Interpretation Introduction

Interpretation: From the given substances the substance with higher entropy should be identified.

Concept introduction: Entropy is a measure of the randomness of the system. It is a thermodynamic quantity and an extensive property. It is represented by the symbol S. It can also be defined as the degree of energy dispersal. More the dispersal in energy, more is the value if entropy.

Explanation

The entropy of a pure substance is zero. Thus, the entropy of pure silicon is zero. However, when silicon is doped with element such as boron or phosphorus, then the disorderness of the ...

(b)

Interpretation Introduction

Interpretation: From the given substances the substance with higher entropy should be identified.

Concept introduction: Entropy is a measure of the randomness of the system. It is a thermodynamic quantity and an extensive property. It is represented by the symbol S. It can also be defined as the degree of energy dispersal. More the dispersal in energy, more is the value if entropy.

(c)

Interpretation Introduction

Interpretation: From the given substances the substance with higher entropy should be identified.

Concept introduction: Entropy is a measure of the randomness of the system. It is a thermodynamic quantity and an extensive property. It is represented by the symbol S. It can also be defined as the degree of energy dispersal. More the dispersal in energy, more is the value if entropy.

(d)

Interpretation Introduction

Interpretation: From the given substances the substance with higher entropy should be identified.

Concept introduction: Entropy is a measure of the randomness of the system. It is a thermodynamic quantity and an extensive property. It is represented by the symbol S. It can also be defined as the degree of energy dispersal. More the dispersal in energy, more is the value if entropy.

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