Internal energy and pressure of a gas per unit volume are related as

Options

A. `P=2/3E`
B. `P=3/2E`
C. `P=1/2` E
D. P=2E

Answer

A

Explanation

(a) `PV=(1)/(3)m n u^(2)=(1)/(3)M u^(2)`
`=(2)/(3)*(1)/(2)Mu^(2)=(2)/(3)E` or `P=(2)/(3)E` per unit vol.