Chapter 8.9, Problem 8.15P

Interpretation Introduction

Interpretation:

The number of moles in $\text{1}{\text{×10}}^{\text{5}}\text{L}\text{of}{\text{CH}}_{\text{4}}$ at STP and the amount of methane in grams should be determined and also determine the amount of ${\text{CO}}_{\text{2}}$ the same tank can hold.

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.

$\begin{array}{l}\text{V }\propto \frac{\text{nT}}{\text{P}}\\ \text{V = R}\frac{\text{nT}}{\text{P}}\\ \text{PV = nRT}\\ \text{where,}\\ \text{n = moles}\text{of}\text{gas}\\ \text{P = pressure}\\ \text{T = temperature}\\ \text{R = gas }\text{constant}\end{array}$

Avogadro’s hypothesis:

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