The average translational energy and the rms speed of molecules in a sample of oxygen gas at `300K` are `6.21xx10^(-21)J` and `484m//s`, respectively. The corresponding values at `600K` are nearly (assuming ideal gas behaviour)

Options

A. `12.42 xx 10^(-21)J, 968 m//s`
B. `8.78 xx 10^(-21)J, 684 m//s`
C. `6.21 xx 10^(-21) J, 968 m//s`
D. `12.42 xx 10^(-21) J, 684 m//s`

Answer

D

Explanation

`bar(K)_(1) = (3)/(2)kT, (v_(rms))_(1) = sqrt((3RT)/((M_(0))))`
`bar(K)_(2) = (3)/(2)k(2T), (v_(rms))_(2) = sqrt((3R. 2T)/(M_(0)))`