Answered: Write units of rate constants for zero…

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

Write units of rate constants for zero order and for the second order reactions if the concentration is expressed in mol L^-1 and time in second.

Expert Solution

Step 1

The rate constant, denoted as 'k' for a reaction, is given as follows:

$r = k \times {(reactant)}^{n}$ (1)

Where,

k = rate constant,

r = rate of reaction

n = order of reaction

Step 2

Given that, the reactant concentration is in mol/liter and time is in seconds, therefore, after plugging in the units in the above equation,

$(\frac{mol}{liter}) \times (second) = k {(\frac{mol}{liter})}^{n} k = {(\frac{mol}{liter})}^{1 - n} \times {(second)}^{- 1} (2)$

Equation 2 is an important equation of rate constant whenever the units of rate constant (k) are required to be estimated from the given order of the reaction.

For Zero order reaction:

$k = {(\frac{mol}{liter})}^{1 - 0} \times {(second)}^{- 1} k = (\frac{mol}{liter}) {(second)}^{- 1}$

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