Chapter 5, Problem 5.23NP

(a)

Interpretation Introduction

Interpretation:

The value of $\Delta S$ at constant pressure needs to be determined when the temperature of 2.50 mol of an ideal gas having C_v=5/2R is increased from 160.

Concept Introduction :

The change in entropy for an ideal gas at constant pressure can be calculated as follows:

  $\Delta {\text{S = nC}}_{p,m}\ln \frac{T_f}{T_i}$

Here, $\Delta S$ = Change in entropy

n = number of moles

C_p,m = molar heal capacity at constant pressure

T = Temperature

(b)

Interpretation Introduction

Interpretation:

The value of $\Delta S$ at constant volume needs to be determined when the temperature of 2.50 mol of an ideal gas having C_v=5/2R is incremented from 160.

Concept Introduction :

The change in entropy can be represented as follows:

  $\Delta \text{S = }{\displaystyle \int \frac{d{q}_{reversible}}{T}}$

Here $\Delta S$ = Change in entropy

q_reversible = reversible heat

T = Temperature