Chapter 4, Problem 4D.11E

Interpretation Introduction

Interpretation:

The molar concentration of $C{O}_2$ in the soda water has to be calculated.

Concept introduction:

The number of moles of any substance can be determined using the equation

$\text{Number}\text{of}\text{mole}\text{=}\frac{\text{Given}\text{mass}\text{of}\text{the}\text{substance}}{\text{Molar}\text{mass}}$

The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mole (g/mol).

$Mass=Volume\times density$

Henry’s law states that the partial pressure of the gas in vapour phase (p) is proportional to the mole fraction of the gas (x) in the solution.

$\text{p}={\text{K}}_{\text{H}}\text{x}\boxed{\begin{array}{l}\text{where,}\\ {\text{K}}_{\text{H}}\text{:}\text{Henry's}\text{constant}\\ \text{x}\text{:}\text{mole}\text{fraction}\\ \text{p}\text{:}\text{partial}\text{pressure}\end{array}}$

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

$\text{Molality (m) =}\frac{\text{Number}\text{of}\text{moles}\text{of}\text{solute}}{\text{1kg}\text{of}\text{solvent}}$