Chapter 3, Problem 3.13NP

Interpretation Introduction

Interpretation:

From equation ${\text{C}}_{\text{p}}{\text{= C}}_{\text{v}}\text{+ TV}\left({\beta }^{\text{2}}\text{/K}\right)$ , the relation between C_p − C_v for an ideal gas needs to be identified.

Concept Introduction :

The relationship between C_p and C_v with $\beta \text{ and K}$

is represented as follows:

${\text{C}}_{\text{p}}{\text{= C}}_{\text{v}}\text{+ TV}\left({\beta }^{\text{2}}\text{/}\kappa \right)$

Here, C_p is the specific heat capacity at constant pressure, C_v is the specific heat capacity at constant volume, T is temperature, V is volume, $\beta$ is the coefficient of volumetric thermal expansion at constant pressure.

and $\kappa$ is isothermal compressibility.