Explain the effect of temperature on the Maxwell-Boltzmann velocity distribution.

(N/A) The relationship between molecular speed and the number of molecules with an increase in temperature is shown by comparing the low temperature $T_{1}$ and high temperature $T_{2}$ curves.
According to the Maxwell-Boltzmann distribution curve,at a higher temperature $T_{2}$,the curve becomes flatter and broader compared to the low temperature $T_{1}$ curve.
$(i)$ The most probable speed of molecules increases with temperature,and the curve becomes broader at a higher temperature $\left(T_{2}\right)$.
$(ii)$ $A$ broader curve indicates that the number of molecules possessing higher speeds increases with an increase in temperature.
$(iii)$ The value of the average speed $\left(u_{av}\right)$ and the root mean square speed $\left(u_{rms}\right)$ increase at a higher temperature $\left(T_{2}\right)$ compared to $\left(T_{1}\right)$.
$\rightarrow$ $u_{av}$,$u_{mp}$,and $u_{rms}$ values are higher at high temperatures.
$\rightarrow$ $u_{av}$,$u_{mp}$,and $u_{rms}$ values are lower at low temperatures.