Chapter 22, Problem 83IAE

Interpretation Introduction

Interpretation:

The total volume of ${\text{H}}_{\text{2}}{\text{-O}}_{\text{2}}$ mixture formed by the electrolysis of water at given conditions of temperature and pressure needs to be determined.

Concept introduction:

Electrolysis of water produces ${\text{H}}_{\text{2}}$ and ${\text{O}}_{\text{2}}$ gas. The balance equation of electrolysis of water can be written as

${\text{2 H}}_{\text{2}}{\text{O}}_{\text{(g)}}\to {\text{ 2 H}}_{\text{2(g)}}{\text{ + O}}_{\text{2(g)}}$

Hence, hydrogen gas and oxygen gas are formed in 2: 1 ratio. The volume of gases produced can be calculated with the help of ideal gas equation:

$\text{P }\times \text{ V = n }\times \text{ R }\times \text{T}$

Here,

• P = Pressure
• V = Volume
• n = number of moles
• R = gas constant
• T = Temperature