Chapter 16, Problem 179AP

Interpretation Introduction

Interpretation:

The acid ionization constant of $HA$ is to be calculated.

Concept Introduction:

The ratio between mass and volume is called density. It is calculated as follows:

$Density=\frac{Mass}{Volume}.$

Rearrange the density equation for mass as follows:

$Mass=Density\times Volume$.

The number of moles is calculated as follows:

$n=\frac{\text{Weight}\left(g\right)}{\text{Gram molecular weight}}$;

$n=\frac{\text{mass}\text{of}\text{HA}}{\text{molecular}\text{mass}\text{of}\text{HA}}$.

The ideal gas equation is as follows:

$PV=n\text{R}T$.

$PV=\frac{\text{Mass}\text{of}\text{HA}}{\text{Molecular}\text{mass}\text{of}\text{HA}}\text{R}T$;

$\text{Molecular}\text{mass}\text{of}\text{HA}=\frac{\text{Mass}\text{of}\text{HA}}{PV}\text{R}T;$

$\text{Molecular}\text{mass}\text{of}\text{HA}=\frac{\text{Density}\times \text{Volume}}{PV}\text{R}T.$

Here, $V$ is the volume, $n$ is the number of moles, $R$ is the universal gas constant, $P$ is the pressure of the gas, and $T$ is the temperature of the gas.

An ideal gas can be characterized by three state variables, namely, absolute pressure $\left(P\right)$, volume, and absolute temperature $\left(T\right)$. The relation between them that may be reduced from kinetic theory is called the ideal gas equation.