Explanation Given information: The energy E of a molecule is a random variable with density function p ( E ) = 1 K T e − E k T , where T is the temperature and, k is Boltzmann’s constant. Formula used: Mean μ = ∫ − ∞ ∞ x . p ( x ) d x where p ( x ) ,the density function. Calculation: The energy density function is p ( E ) = 1 K T e − E k T The mean kinetic energy E ¯ is given by ∫ 0 ∞ E p ( E ) d E E ¯ = ∫ 0 ∞ E p ( E ) d E =

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 9, Problem 6CRE

To determine

To compute:The mean kinetic energy E¯ in terms of k and T.

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Chapter 9, Problem 5CRE

Chapter 9, Problem 7CRE

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Chapter 9 Solutions

CALCULUS W/SAPLING ACCESS >IC<

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

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Knowledge Booster

The mean kinetic energy E ¯ in terms of k and T.

Solution Summary: The author calculates the mean kinetic energy in terms of k and T. The energy E is a random variable with density function p(x).

To compute:The mean kinetic energy E¯ in terms of k and T.

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Chapter 9 Solutions