The average kinetic energy of a gas `-23^(@)C` and 75Cm pressure is `5xx10^(-14)` erg for `H_(2)`. The mean kinetic energy of the `O_(2)` at `227^(@)C` and 150cm pressure will be

Options

A. `80xx10^(-14)`erg
B. `20xx10^(-14)`erg
C. `40xx10^(-14)`erg
D. `10xx10^(-14)`erg

Answer

D

Explanation

Average KE -
`E = 3/2kT`
`E =3/2 kT`
`rArr E_1/E_2 = T_1/T_2 = ((273 - 23))/((273 + 227)) = 250/500 = 1/2 `
`rArr E_2 = 2E_1 = 2 xx 5 xx 10^(-14) = 10 xx 10^(-14) erg.`