The probability of a molecule of mass (m) in a gas at temp (7) having a speed of (c) is given by: 3/2 p = c² x (m²) ² x exp Where k is the Boltzmann constant. Show that the maximum probability is found when: C = 2kT m mc² 2kT

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The probability of a molecule of mass (m) in a gas at temp (7) having a speed of (c) is given
by:
p = c² x
3/2
P(-2160
Where k is the Boltzmann constant. Show that the maximum probability is found when:
m
(27KT)
2лkТ
C =
2kT
m
mc²
2kT
x exp
Transcribed Image Text:The probability of a molecule of mass (m) in a gas at temp (7) having a speed of (c) is given by: p = c² x 3/2 P(-2160 Where k is the Boltzmann constant. Show that the maximum probability is found when: m (27KT) 2лkТ C = 2kT m mc² 2kT x exp
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