the mean square speed is the average speed of the molecules of the gas translate from one point to another.

 from the postulates , the mean square speed is directly proportional to the square root of temperature

 recall that

p =

PV =

where  is the mean speed .

Again  from gas equa.

PV =RT

for grm mole volume , nm= M is the mass per gm mole

recall that  P=  OR  and  PV =RT

=

The root mean square speed