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= 0.0143 g c c^(-1)`
Pressure `=P=1 atm = 76 cm Hg = hd g `
` = 76 xx 13.6 xx 980.6`
` = 1.0133 xx 10^6 g cm^(-1) s^(-2)`
RMS velocity (C ) `= sqrt(( 3 P)/( d))`
Substituting the values, RMS velocity of the gas = ` sqrt((3 xx 1.0133 xx 10^6 )/(0.143 ) ) = 4.16 xx 10^4 cms^(-1)`
` =461 ms^(-1)`