Chapter 17, Problem 17.8P

(a)

Interpretation Introduction

Interpretation:

The average rate for the formation of ${\text{NO}}_{\text{2}\left(\text{g}\right)}\text{ from t = 0 minutes to t = 100 minutes}$ has to be calculated.

Concept Introduction:

Rate of reaction:  It is defined as change in concentration of species with respect to change in time.  An expression for rate of a general reaction is given by

    $\begin{array}{l}\text{aA + bB }\stackrel{}{\to }\text{cC + dD}\\ \\ \text{Rate}\text{of}\text{reaction}\text{=}\text{-}\frac{\text{1}}{\text{a}}\left(\frac{\text{Δ[A]}}{\text{Δt}}\right)\text{=}\text{-}\frac{\text{1}}{\text{b}}\left(\frac{\text{Δ[B]}}{\text{Δt}}\right)\text{=}\frac{\text{1}}{\text{c}}\left(\frac{\text{Δ[C]}}{\text{Δt}}\right)\text{=}\frac{\text{1}}{\text{d}}\left(\frac{\text{Δ[D]}}{\text{Δt}}\right)\\ \\ \text{Rate}\text{of}\text{reaction}\text{=k}{\text{[a]}}_{\text{0}}{\text{[b]}}_{\text{0}}\\ \\ \text{k}\text{is}\text{rate}\text{constant}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The instantaneous rate of formation at $\text{t= 50 minutes}$ has to be calculated.

Concept Introduction:

Refer to part a.

(c)

Interpretation Introduction

Interpretation:

The initial rate of formation of ${\text{NO}}_{\text{2}\left(\text{g}\right)}$ has to be calculated.

Concept Introduction:

Refer to part a