Chapter 1, Problem 1.66E

Interpretation Introduction

Interpretation:

Density is defined as molar mass, M, divided by molar volume:

$\text{d=}\frac{\text{M}}{\overline{\text{V}}}$

${\left(\frac{\delta d}{\delta T}\right)}_{p,n}$ for an ideal gas in terms of is to be evaluated.

Concept introduction:

Gaseous systems are used to study M, $\overline{V}$ and p the thermodynamic properties since; the gaseous systems are well behaved. Intriguingly, the change in the state variables, when a certain state variable is changed can be determined. Thus, the gaseous systems are important in analyzing thermodynamic properties. In this regard, a few partial derivatives can be considered as basic properties of the gas. The two important partial derivatives of having significant interest are; 1) expansion coefficient of a gas (α) 2) isothermal compressibility (κ) of a gas.