IIT JEE , AIEEE Forum - Chemistry , Physical Chemistry - Chemical Thermodynamics and Kinetic Theory of Gases

shakirshafi12

In the kinetic theory of gases, the probability distribution (normalized to unity) for the
gas particles (of mass m each) having velocities in the range v and v + dv is given by

where k is the Boltzmann constant and T is the temperature.

1) Find the most probable value (v mp) of the velocity.

2) Find the average velocity (v av) of the gas particles.

shakirshafi12

hey guys at least give it a try

meghaguptaa

CAN u tel us wher u got that que fm ?

shakirshafi12

please try this question

Suhail

good question thinking bout it

krishna.gopal

Most probable velocity will be velocity where f(v) will have a maxima. Solve f'(v)=0 to get it

V(average)=(_{[0 ]}

^{[ ]} vf(v)dv)/(_{[0 ]}

^{[ ]} f(v)dv)

End integrate it to get the answer

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