Two containers are at the same temperature. the first
containsgas with pressure p1,molecular
mass m1,and
root-mean-square speed vrms1.the
second contains gas with pressure 4p1,molecular
mass m2,and
average speed vavg2=
5vrms1.find
the mass ratio m1/m2.

From Maxwell-Boltzmann distribution of molecules and their speeds,

average speed, Vavg = √()

and Root mean speed, Vrms = √()

Given Vavg2 = 5Vrms1

Vavg2 = √() ................ eqn 1

Vrms1 = √() --------------eqn 2

To find m1/m2, we divide eqn 1 by eqn 2,

we have, Vavg2/Vrms1 = √()

since Vavg2 = 5Vrms1, it becomes, 5 = √()

Therfore, m1/m2 = 25 * 3π/8 = 29.45

the mass ratio m1/m2 = 29.45.

battery with hi vtge high val resist in series