EBK MATLAB: AN INTRODUCTION WITH APPLIC
EBK MATLAB: AN INTRODUCTION WITH APPLIC
6th Edition
ISBN: 8220103113663
Author: GILAT
Publisher: YUZU
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Chapter 11, Problem 25P

The Maxwell-Boltzmann probability density function f(v) is given by:

f ( v ) = 2 π m k T 3 v 2 exp m v 2 2 k T

where m (kg) is the mass of each molecule, v (m/s) is the speed, T(K) is the temperature, and k = 1.38×10-23J/K is Boltzmann’s constant. The most probable speed vpcorresponds to the maximum value of f(v) and can be determined from d f ( v ) d v = 0. Create a symbolic expression for f(v), differentiate it with respect to v, and show that vp= 2 k T m Calculate vpfor oxygen molecules (m = 5.3×10-26kg) at T = 300 K . Make a plot of f(v) versus v for 0 v 2 , 500 m/s for oxygen molecules.

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EBK MATLAB: AN INTRODUCTION WITH APPLIC

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