As the temperature is raised from `20^(@)C` to `40^(@)C` the averge kinetic energy of neon atoms changes by a factor .

Options

A. `1//2`
B. 2
C. `313//293`
D. `sqrt(313//293)`

Answer

C

Explanation

`T_(1) = 20 + 273 = 293 K`
`T_(2) = 40 + 273 = 313 K`
`bar(K.E.) = (3)/(2) kT`
At 293 K
`bar(K.E._(1)) = (3)/(2) k xx 313`
At 313 K
`bat(K.E._(2)) = (3)/(2) k xx 313`
`(bar(K.E._(2)))/(bar(K.E._(1))) = (313)/(273)`