Explain effect of temperature on Maxwell Boltzman velocity distribution.

Explanation

Relation between molecular speed and number of molecular with increase in temperature : Comparison of Low temperature `T_(1)` and high temperature graph as under.

According to Maxwell - Boltzman distribution curve at high temperature `T_(2)` curve is flat and wide that two Temperature curve.
(i) Most probable speed of molecules increases with temperature and curve becomes more wide at high temperature `(T_(2))`.
(ii) Wide curve indicated that number of molecules having more speed increases with temperature.
(iii) Value of Average speed `(u_(av))` increases at higher temperature `(T_(2))` than `(T_(1))` and most probably speed is low so,
`u_(av)` and `u_(mp)` value is low at high temperature.
`u_(av)` and `u_(mp)` value is high at low temperature.
Number of molecules at high temperature `(n_(2))gt` number of molecules at lower temperature `(n_(1))`.