The half-life of a biologically degraded contaminant is 1 h. Therefore, the kinetic constant ofthe reaction is most nearly(A) 17/d(B) 24/d(C) 73/d(D) 96/d

Answered: The half-life of a biologically…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Question

The half-life of a biologically degraded contaminant is 1 h. Therefore, the kinetic constant of
the reaction is most nearly
(A) 17/d
(B) 24/d
(C) 73/d
(D) 96/d

Expert Solution

Step 1

Half life of a reaction is the time at which the 50 % of the initial reactants gets consumed or it is the time at which the initial concentration of reactant becomes half.

Given data:

Half life of a biological degradable contaminant = 1 h

Step 2

Assumption:

The degradation of biological contaminant follows the first order kinetics.

From the first order kinetics, the half life of a reaction is given as,

$t_{\frac{1}{2}} = \frac{0.693}{k}$ .............. (1)

Where,

t_1/2 represents the half-life.

k represents the rate constant or kinetics constant.

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