Density of a gas at one atm pressure is `1.43xx10^(-2)g c c^(-1)`. Calculate the RMS velocity of the gas.

Explanation

Density = d = 0.0413 g `"cc"^(-1)`
Pressure = P = 1 atm = 76 cm Hg = hdg ` = 76 xx 13.6 xx 980.6 = 1.0133 xx 10^(6)` g `cm^(-1)s^(-2)`
RMS velocity (C ) = 4
Substituting the values,
RMS velocity of the gas ` = sqrt((3 xx 1.0133 xx 10^(6))/(0.0143)) = 4.16 xx 10^(4) cms^(-1) = 461 ms^(-1)`