Pressure exerted by a perfect gas equal to

Options

A. mean `K.E.` per unit volume
B. half of mean `K.E.` per unit volume
C. one-third of mean `K.E.` per unit volume
D. two-third of mean `K.E.` per unit volume

Answer

D

Explanation

`P = (1)/(3) (M)/(V) v_(rms)^(2) = (2)/(3)(((1)/(2)Mv_(rms)^(2))/(V))`
`= (2 K)/(3V), K :K.E`.