Chapter 5, Problem 134AE

(a)

Interpretation Introduction

Interpretation:The plots for $PV\text{/n}$ for real gases against pressure for a real gas that follows the indicated equation should be represented.

  $PV\text{/}n=\alpha +\beta P$

Concept introduction:Any equation that obeys the linear form of equation is written as follows:

  $y=c+mx$

Where

• $m$ denotes slope of linear equation
• $c$ denotes intercept made on y-axis.

(b)

Interpretation Introduction

Interpretation: The plots for change in momentum per impact versus mass of an individual gas particle for a series of ideal gases each at same temperature should be represented.

Concept introduction:Kinetic energy in terms of momentum is written as follows:

  $\text{Kinetic Energy}=\frac{p^2}{2m}$

Where,

• $p$ denotes linear momentum.
• $m$ denotes mass.

(c)

Interpretation Introduction

Interpretation: The plots for $P$ against temperature for anideal gas at constant $n$ and $V$ should be represented.

Concept introduction:Volume is inversely related to pressure and directly related to temperature and moles; this can be formulated as follows:

  $V=k\text{'}\frac{nT}{P}$

Rearrange above expression to obtain expression of $P$ .

  $P=k\text{'}\frac{nT}{V}$

‘Where,

• $k\text{'}$ is constant.

Thus at constant $T$ and $n$ , then $P$ varies directly to $V$ .