Relation between pressure (P) and energy (E) of a gas is:

Question

G1 Physics · Accepted Answer

Step 1: Kinetic theory gives P = (1/3)(N/V)m⟨v²⟩. Step 2: Translational kinetic energy of all N molecules is K = (1/2)Nm⟨v²⟩. Step 3: Translational kinetic-energy density E = K/V = (1/2)(N/V)m⟨v²⟩. Step 4: Hence P = (2/3)E. Final answer: (A).