the rms speed of the molecules of gas is 200 ms at a tempera

the rms speed of the molecules of gas is 200 m/s at a temperature 300K. what is the mass of the individual molecules

Solution

Here ,

let the mass of each molecule is M

vrms = 200 m/s

T = 300 K

as Vrms = sqrt(3 * k * T/M)

200 = sqrt(3 * 1.38 *10^-23 * 300/M)

solving for M

M = 3.11 *10^-25 Kg

the mass of each molecule is 3.11 *10^-25 Kg