The first-order rate constant for reaction of a particular organic compound with water varies with temperature as follows:Temperature (KK)Rate Constant (s−1s−1)3003.2×10−113.2×10−113201.0×10−91.0×10−93403.0×10−83.0×10−83552.4×10−72.4×10−7From these data, calculate the activation energy in units of kJ/molkJ/mol.

Using Arrhenius equation, lnk2k1= EaR1T1 - 1T2 T2 =320 K T1 = 300 K k2 = Rate constant of reaction…

Answered: The first-order rate constant for…

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter11: Chemical Kinetics: Rates Of Reactions

Section: Chapter Questions

Problem 41QRT

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The first-order rate constant for reaction of a particular organic compound with water varies with temperature as follows:

Temperature (KK)	Rate Constant (s−1s−1)
300	3.2×10−113.2×10−11
320	1.0×10−91.0×10−9
340	3.0×10−83.0×10−8
355	2.4×10−72.4×10−7

From these data, calculate the activation energy in units of kJ/molkJ/mol.

Expert Solution

Step 1 Given data and formula

Using Arrhenius equation,

$\ln (\frac{k_{2}}{k_{1}}) = \frac{E_{a}}{R} [\frac{1}{T_{1}} - \frac{1}{T_{2}}]$

T₂ =320 K

T₁ = 300 K

k₂ = Rate constant of reaction at temp T₂ =1.0 * 10^-9 s^-1

k₁ = Rate constant of reaction at temp T₁ = 3.2 * 10^-11 s^-1

E_a= Activation energy Of reaction

R = gas constant = 8.314 J K^-1 mole^-1

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