Chapter 18.4, Problem 18.7P

Interpretation Introduction

Interpretation:

The x value in $Pd{H}_x$, the density of $H$ in $Pd{H}_x$ and the molarity of $H$ atoms in $Pd{H}_x$ should be calculated with given conditions that $Pd$ dissolve $935$ times of its volume of $H_2$ at $STP$ conditions.

Concept Introduction:

Density of a substance:

Density can be calculated by using following formula,

$Density=\frac{mass}{volume}$

Number of moles calculated by using following formula,

$\text{Number}\text{of}\text{moles}\text{=}\frac{\text{mass}}{\text{molar}\text{mass}}$

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,

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