Which of the following relation is correct for an ideal regarding its pressure (p) and translational kinetic energy per unit volume (E ) ?

Options

A. `p=(3)/(2)E`
B. `p=(2)/(3)E`
C. `p=(1)/(2)E`
D. `p=2E`

Explanation

`(b)E=(E')/(V)=(1)/(2)(mNU_(ms)^(2))/(V)=(3)/(2)xx(1)/(3)(mNU_(ms)^(2))/(V)=(3)/(2)p`
`P=(2)/(3)E`