Question

The rms speed of the molecules of enclosed gas is v. what will be the rms speed if pressure is doubled keeping the temperature same? (1)3v (2)4v (3)v (4)5v

Answer 1

the rms speed if pressure is doubled keeping the temperature same is v

The rms speed is given by Vrms = √((3rt)/(m))

m = mass of molecule

T = temperature

so Vrms is independent of pressure p

Vrms proportional to √T

so the pressure is doubled and temperature is kept same the rms speed will be v