B3 s the particle speed, and A and B are positive constants. lity density function F(V). r of particles N in the volume. im speed Vmin and maximum speed Vmax. robable speed where the probability density function is the largest. e speed and the root-mean-square average speed Vrms = √√√√².

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Problem 3.9: The speed distribution function for N particles in a fixed volume is given by:
AV (B-V)
B3
where V (> 0) is the particle speed, and A and B are positive constants.
Determine:
(a) The probability density function F(V).
(b) The number of particles N in the volume.
(c) The minimum speed Vmin and maximum speed Vmax.
(d) The most probable speed where the probability density function is the largest.
(e) The average speed V and the root-mean-square average speed Vrms = √V²
f (V) =
Transcribed Image Text:Problem 3.9: The speed distribution function for N particles in a fixed volume is given by: AV (B-V) B3 where V (> 0) is the particle speed, and A and B are positive constants. Determine: (a) The probability density function F(V). (b) The number of particles N in the volume. (c) The minimum speed Vmin and maximum speed Vmax. (d) The most probable speed where the probability density function is the largest. (e) The average speed V and the root-mean-square average speed Vrms = √V² f (V) =
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