1. Show mathematically that for a first order reaction, it takes approximately ten times as long toconsume 99.9% of the reactant as it does to consume 50% of the reactant.2. Starting from the Arrhenius equation, derive the equation from which the rate constant for areaction at one temperature can be calculated if the rate constant for the reaction at anothertemperature is known.The rate constant for the decomposition of N2Os is 6.2 × 10-1 sec-l at 45°C. Calculate therate constant at 100°C, given that the activation energy is EA = 103 kJ mol-1.R = 8.314 × 10-3 kJ mol·'K!.

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1. Show mathematically that for a first order reaction, it takes approximately ten times as long to consume 99.9% of the reactant as it does to consume 50% of the reactant.

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

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

1. Show mathematically that for a first order reaction, it takes approximately ten times as long to
consume 99.9% of the reactant as it does to consume 50% of the reactant.
2. Starting from the Arrhenius equation, derive the equation from which the rate constant for a
reaction at one temperature can be calculated if the rate constant for the reaction at another
temperature is known.
The rate constant for the decomposition of N2Os is 6.2 × 10-1 sec-l at 45°C. Calculate the
rate constant at 100°C, given that the activation energy is EA = 103 kJ mol-1.
R = 8.314 × 10-3 kJ mol·'K!.

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