# Introduction to the Clausius Inequality Lesson

In Chapter 6, we:
• Introduced

and

#### Kelvin-Planck

Statements of the

#### 2nd Law

• Applied both statements of the

to

#### thermodynamic cycles

.
• Showed that the

and

#### Ideal Gas Temperature Scales

were identical

.
• Studied the

and its

.
• Used the

#### Carnot Efficiency

to show that energy has quality as well as quantity.
In Chapter 7, we:
• Apply the

#### 2nd Law

to the individual processes that might make up a thermodynamic cycle.
• Introduce a new thermodynamic property called

#### entropy

.
• Show how this new property can help us analyze both individual processes and cycles.
• Investigate how

#### entropy

is related to other thermodynamic properties.
• Apply what we learn to some very special types of processes:

#### polytropic

processes and

#### isentropic

processes.
We begin our study of

#### entropy

by considering the

#### Clausius Inequality

.
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### Ch 7, Lesson A, Page 1 - Introduction to the Clausius Inequality Lesson

• In chapter 6, we spent a great deal of time and effort learning how the 2nd Law can be applied to thermodynamic cycles.
• This paid off with a deeper understanding of the 2nd Law, thermodynamic temperature scales, such as the Kelvin Scale, and the Carnot Efficiency.
• In this chapter, we shift gears and take a look at how the 2nd law can be applied to individual processes.
• This will lead us to the definition of a new property called Entropy.
• We will investigate how our new property, entropy, is related to the thermodynamic properties with which we are already familiar, such as P, V, U and H.
• We will also use entropy to help us analyze both individual processes and thermodynamic cycles.
• We wrap up this chapter with a look at two very special types of processes: polytropic processes and isentropic processes.
• The basis for the definition of entropy is an equation called the Clausius Inequality.
• Flip the page and let’s find out what this equation is and why it is useful.