Chapter 15, Problem 15.16QP

Interpretation Introduction

Interpretation:

The equilibrium constant ${\text{K}}_{\text{c}}$ for the given reaction has to be determined.

Concept Introduction:

Chemical equilibrium: The equilibrium constants for gaseous reactions are ${\text{K}}_{\text{p}}$ and ${\text{K}}_{\text{c}}$. ${\text{K}}_{\text{p}}$ is defined as rate constant of a reaction in terms of partial pressures whereas ${\text{K}}_{\text{c}}$ is defined as rate constant of a reaction in terms of concentration.

The relation between ${\text{K}}_{\text{p}}$ and ${\text{K}}_{\text{c}}$ is:

${\text{K}}_{\text{p}}\text{=}{\text{K}}_{\text{c}}{\text{(RT)}}^{\text{Δn}}$

$\begin{array}{c}{K}_c=\text{Rate}\text{constant}\text{in}\text{terms}\text{of}\text{molar}\text{concentration}\text{.}\\ K_p=\text{Rate}\text{constant}\text{in}\text{terms}\text{of}\text{partial}\text{pressure}\\ \text{=}\text{5}\text{.0}\times {\text{10}}^{-4}\Rightarrow \text{Given}\end{array}$

$\begin{array}{c}\text{T}\text{=}\text{Temprature}\\ \text{R}\text{=}\text{Gas}\text{constant =}\text{8}\text{.314}\text{J}{\text{K}}^{\text{-1}}{\text{mol}}^{\text{-1}}\\ \text{Δn}\text{=}\left(\text{Number}\text{of}\text{moles}\text{of}\text{gaseous}\text{products}\right)\\ \text{-}\left(\text{Number}\text{of}\text{moles}\text{of}\text{gaseous}\text{reactants}\right)\end{array}$