Chapter 9, Problem 9.127CHP

Interpretation Introduction

Interpretation:

The formula of a gas whose density is $\text{3}\text{.309}\text{g}/\text{L}$ at $\text{25°C}\text{and}\text{1}\text{atm}$ has to be given, if the gas is formed by the reaction of a non-metal with hydrogen.

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,

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

Density of a gas can be calculated by the equation:

$\text{D}\text{=}\frac{\text{PM}}{\text{RT}}$

Where,

M is the molar mass.