The speed of a molecule in a uniform gas at equilibrium is a random variable whose probability density function is given by f ( x ) = { a x 2 e − b x 2 x ≥ 0 0 x < 0 where b = m 2 k T and T, and in denote, respectively, Boltzmann’s constant, the absolute temperature of the gas, and the mass of the molecule. Evaluate a in terms of b.
The speed of a molecule in a uniform gas at equilibrium is a random variable whose probability density function is given by f ( x ) = { a x 2 e − b x 2 x ≥ 0 0 x < 0 where b = m 2 k T and T, and in denote, respectively, Boltzmann’s constant, the absolute temperature of the gas, and the mass of the molecule. Evaluate a in terms of b.
The speed of a molecule in a uniform gas at equilibrium is a random variable whose probability density function is given by
f
(
x
)
=
{
a
x
2
e
−
b
x
2
x
≥
0
0
x
<
0
where
b
=
m
2
k
T
and T, and in denote, respectively, Boltzmann’s constant, the absolute temperature of the gas, and the mass of the molecule. Evaluate a in terms of b.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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