Chapter 8.3, Problem 8.3PSP

(a)

Interpretation Introduction

Interpretation:

Volume of the gas sample has to be determined at $\text{26}\text{.5}°\text{C}$ and $740\text{ mmHg}$ if it has an initial volume of gas sample is $\text{21}m\text{L}$ at $\text{22}\text{.3}°\text{C}$ and $710\text{ mmHg}\text{.}$

Concept Introduction:

General Gas Law:

Combine Charles’s law and Boyle’s law to get the General gas law or combined gas law given below,

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

(b)

Interpretation Introduction

Interpretation:

Volume of the gas sample has to be determined where pressure is kept constant.

Concept Introduction:

Charles’s law: States that volume is directly proportional to temperature when the gas is held at constant pressure and number of molecules.

  $\begin{array}{l}\text{V}\propto \text{T}\\ \text{V}\text{=}\text{Constant}\text{×}\text{T}\\ \frac{{\text{V}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{V}}_{\text{2}}}{{\text{T}}_{\text{2}}}\end{array}$