Chapter 8, Problem 8.71AP

Interpretation Introduction

Interpretation:

The number of moles in $48.6\text{L}$ of gas at STP should be determined.

Concept Introduction:

Ideal gas Equation:

Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.

$\begin{array}{l}\text{V }\propto \frac{\text{nT}}{\text{P}}\\ \text{V = R}\frac{\text{nT}}{\text{P}}\\ \text{PV = nRT}\end{array}$

Where,

$\begin{array}{l}\text{n = moles}\text{of}\text{gas}\\ \text{P = pressure}\\ \text{T = temperature}\\ \text{R = gas }\text{constant}\end{array}$

Avogadro’s hypothesis:

• To relate the amount of gas and the volume.
• $\begin{array}{l}\text{V}\propto \text{n}\\ \text{n}\text{is}\text{the}\text{number}\text{of}\text{molecules}\text{at}\text{constant}\text{T}\text{and}\text{P}\end{array}$
• $\begin{array}{l}\frac{{\text{V}}_{\text{1}}}{{\text{n}}_{\text{1}}}\text{=}\frac{{\text{V}}_{\text{2}}}{{\text{n}}_{\text{2}}}\\ {\text{V}}_{\text{2}}\text{=}{\text{V}}_{\text{1}}\frac{{\text{n}}_{\text{2}}}{{\text{n}}_{\text{1}}}\end{array}$