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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

Consider the following representation of the reaction 2NO2(g) → 2NO(g) + O2(g).

Chapter 12, Problem 83AE, Consider the following representation of the reaction 2NO2(g)  2NO(g) + O2(g). Determine the time

Determine the time for the final representation above if the reaction is

a. first order

b. second order

c. zero order

(a)

Interpretation Introduction

Interpretation: The time of completion for the first two representation of decomposition reaction of NO2 is given. The time of final representation for each first, second and zero order is to be calculated.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction.

To determine: The rate and time of final representation for first order reaction.

To determine: The rate of first order reaction.

Explanation

The given reaction is,

2NO2(g)2NO(g)+O2(g)

The diagram (a) represents 0% completion of reaction.

The diagram (b) represents 50% completion of reaction.

The diagram (c) represents 75% completion of reaction.

The half-life is defined as the time required for the concentration of reactant to be reduced to one-half of its initial value. Hence, the half life of the given reaction is 10min .

Formula

The half-life of first order is calculated using the formula,

t12=0.693k

Where,

  • t12 is half life

(b)

Interpretation Introduction

Interpretation: The time of completion for the first two representation of decomposition reaction of NO2 is given. The time of final representation for each first, second and zero order is to be calculated.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction.

To determine: The time of final representation for second order reaction.

(c)

Interpretation Introduction

Interpretation: The time of completion for the first two representation of decomposition reaction of NO2 is given. The time of final representation for each first, second and zero order is to be calculated.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction.

To determine: The time of final representation for zero order reaction.

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