Chapter 5, Problem 5.34QP

Interpretation Introduction

Interpretation:

The method to raise the temperature of the gas without bursting the vessel has to be determined.

Concept Introduction:

The combined gas law is relate one thermodynamic variable to another mathematically while holding everything else constant.  Charles's law states that volume and temperature are directly proportional to each other as long as pressure is held constant.  Finally, Gay-Lussac's law introduces a direct proportionality between temperature and pressure as long as it is at a constant volume.

The equation,

$\frac{{\text{P}}_{\text{1}}{\text{V}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}{\text{V}}_{\text{2}}}{{\text{T}}_{\text{2}}}$

Because V is constant, the above equation reduces to

$\frac{{\text{P}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}}{{\text{T}}_{\text{2}}}$