A monatomic gas is kept at room temperature 300 K. Calculate the average kinetic energy of gas molecule. (Use K = 1.38 x `10^(-23)` M.K.S. units)

Options

A. 0.138eV
B. 0.062eV
C. 0.039eV
D. 0.013eV

Answer

C

Explanation

`K = f/2 k_B T = 3/2 k_B T`
[as f = 3, for monoatomic]
` = 3/2 xx ((1.38 xx 10^(-23))xx300)/(1.6 xx 10^(-19)) eV`
` = 3.9 xx 10^(-2) eV = 0.039eV.`