Chapter 11, Problem 11.61QP

Interpretation Introduction

Interpretation: The raised temperature of the gas without bursting the vessel given gas problem has to be calculated.

Concept Introduction:

The combined gas law is no official founder for this law; these laws each 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.

For this problem will be the equation, which looks like this

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

Because V is constant, the above equation reduces to

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