Chapter 5, Problem 5.24QP

Interpretation Introduction

Interpretation:

The change in the volume of the container has to be explained when a sample of nitrogen gas placed at 200⁰K.

1. a) The container volume increases by less than 50%.
2. b)  The container volume increases by more than 50%.
3. c) The container volume doesn’t change.
4. d) The container volume increases by 50%.
5. e) The container volume increases by 50%.

Concept Introduction:

Gay-Lussac’s law:

Gay-Lussac law derived from the Charles law,

The law states that a sample gas having fixed pressure is directly proportional to the temperature. Since pressure can never be negative and the temperature scale should be absolute minimum.

$\frac{\text{V}}{\text{T}}\text{ = constant}$

So the initial and final Volume will be like

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

Here,

V₁ and V₂ are initial and final volume.

T₁ and T₂ are initial and final Temperature.