Chapter 3, Problem 3A.4P

(a)

Interpretation Introduction

Interpretation: An expression for the area enclosed by the cycle in temperature entropy diagram of a Carnot cycle has to be derived.

Concept introduction: The Carnot cycle is an ideal process which includes a hot source $\left(T_{\text{h}}\right)$ and a cold sink $\left(T_{\text{c}}\right)$ and consists of the following four processes.

1.         i.            A reversible adiabatic expansion.
2.       ii.            A reversible isothermal expansion.
3.     iii.            A reversible isothermal compression.
4.     iv.            A reversible adiabatic compression.

(b)

Interpretation Introduction

Interpretation: An expression for the work done over the cycle in temperature entropy diagram of a Carnot cycle has to be derived.

Concept introduction: The Carnot cycle is an ideal process which includes a hot source $\left(T_{\text{h}}\right)$ and a cold sink $\left(T_{\text{c}}\right)$ and consists of the following four processes.

1.         i.            A reversible adiabatic expansion.
2.       ii.            A reversible isothermal expansion.
3.     iii.            A reversible isothermal compression.
4.     iv.            A reversible adiabatic compression.

(c)

Interpretation Introduction

Interpretation: The comment on the relation between the answers of part (a) and part (b) has to be stated.

Concept introduction: The Carnot cycle is an ideal process which includes a hot source $\left(T_{\text{h}}\right)$ and a cold sink $\left(T_{\text{c}}\right)$ and consists of the following four processes.

1.         i.            A reversible adiabatic expansion.
2.       ii.            A reversible isothermal expansion.
3.     iii.            A reversible isothermal compression.
4.     iv.            A reversible adiabatic compression.