Chapter 13, Problem 8STP

Interpretation Introduction

Interpretation:

The relationship between the pressure and temperature of an ideal gas have to be explained.

Concept Introduction:

The ideal gas law can be expressed as-

  $\mathrm{PV}=nRT$ Where, R is universal gas constant.

  $\mathrm{P}=\frac{nR}{V}T$

Keeping volume (V) and number of moles (n) constant, the ideal gas law can be written as

  $\mathrm{P}=Constant\times T$

  $\mathrm{P}\propto T$

Answer to Problem 8STP

The relationship between the pressure and temperature of a gas is represented by graph a.

Explanation of Solution

The relationship between the pressure and temperature of an ideal gas is expressed as-

  $\mathrm{P}\propto T$ When n and V remain constant

  

The pressure of a gas is directly proportional to the temperature at constant volume. Pressure and temperature have a linear relationship. Therefore the relationship between the pressure and temperature of a gas is exhibited by graph a that has a slope.