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The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy E 5.0 kJ/mol. If the rate constant of this -1 reaction is 1.5 × 108 Ms at 46.0 °C, what will the rate constant be at 120.0 °C? Round your answer to 2 significant digits. -1 k=M²¹ S¹ X S

The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy E 5.0 kJ/mol. If the rate constant of this -1 reaction is 1.5 × 108 Ms at 46.0 °C, what will the rate constant be at 120.0 °C? Round your answer to 2 significant digits. -1 k=M²¹ S¹ X S

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Tags: Goal Topic, Locked A The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy E 5.0 kJ/mol. If the rate constant of this reaction is 1.5 × 108 M1 S Round your answer to 2 significant digits. -1 k=M²¹¹ s -1 Start -1 at 46.0 °C, what will the rate constant be at 120.0 °C? 4B 2 x10 4 O Tags: Goal Topic, Locked X 10 Ś SEP 4 Tags: Goal Topic 2022 McGraw Hili LLC. All Rights Reserved. 000 = ♫ tv Terms of Use | Privacy Center | Accessibility G Z_Proto...utror NINT 66
Transcribed Image Text:Tags: Goal Topic, Locked A The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy E 5.0 kJ/mol. If the rate constant of this reaction is 1.5 × 108 M1 S Round your answer to 2 significant digits. -1 k=M²¹¹ s -1 Start -1 at 46.0 °C, what will the rate constant be at 120.0 °C? 4B 2 x10 4 O Tags: Goal Topic, Locked X 10 Ś SEP 4 Tags: Goal Topic 2022 McGraw Hili LLC. All Rights Reserved. 000 = ♫ tv Terms of Use | Privacy Center | Accessibility G Z_Proto...utror NINT 66
Expert Solution
Step 1

Given,

Activation energy (Ea) = 5.0 kJ/mol = 5.0 × 1000 J/mol = 5000 J/mol

Rate constant (k):

k1 = 1.5 × 108 M-1.s-1

k2 = ?

Temperature (T):

T1 = 46.0 °C = (46.0 + 273.15) K = 319.15 K

T2 = 120.0 °C = (120.0 + 273.15) K =  393.15 K

Note: universal gas constant (R) = 8.314 J/mol.K

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