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: Principles and Practice
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Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
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Chapter13: Chemical Kinetics
Section: Chapter Questions
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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.
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!.
Transcribed Image Text: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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