Show that for a first-order reaction R → P, the concentration of product can be represented as a function of time by [P] = a + bt +ct² + ... and express a, b, and c in terms of [R] and k. (Hint: The Maclaurin series on the right may be useful: ex = 1 + x/1! + x²/2! + x³/3! + ... + x^/n!)

Show that for a first-order reaction R → P, the concentration of product can be represented as a function of time by [P] = a + bt +ct² + ... and express a, b, and c in terms of [R] and k. (Hint: The Maclaurin series on the right may be useful: ex = 1 + x/1! + x²/2! + x³/3! + ... + x^/n!)

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 112QRT

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Question

Show that for a first-order reaction R → P, the concentration of product can be represented as a function of
time by [P] = a + bt +ct² + ... and express a, b, and c in terms of [R] and k. (Hint: The Maclaurin series on the
right may be useful: ex = 1 + x/1! + x²/2! + x³/3! + ... + x^/n!)

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