Chapter 13.3, Problem 1RC

Interpretation Introduction

Interpretation: The amount of ${\text{CO}}_2$ dissolved in $710g$ of diet soda is to be determined from the given option.

Concept introduction:

Molality (m): Molality is the number of moles of solute present in one kilogram of solvent.

$\text{Concentration (C, mol/kg) = molality of solute = }\frac{\text{Amount of solute (mol)}}{\text{Mass of solvent (Kg)}}$

Henry’s law: The solubility of a gas in liquid is directly proportional to the gas pressure.

$\begin{array}{c}{\text{S}}_{\text{g}}{\text{= k}}_{\text{H}}{\text{P}}_{\text{g}}\text{,}\\ \text{where,}{\text{S}}_{\text{g}}\text{=}\text{the}\text{gas}\text{solubility}\text{(in}\text{mol/kg)}\\ {\text{k}}_{\text{H}}\text{= Henry's constant }\\ {\text{P}}_{\text{g}}\text{ = the partial pressure of the gaseous solute}\text{.}\end{array}$