One kg of a diatomic gas is at a pressure

• Kinetic Theory Gases

One kg of a diatomic gas is at a pressure of 8 × 10⁴ N/m². The density of the gas is 4 kg/m³. What is the energy of the gas due to its thermal motion?

1. 3 × 10⁴ J
2. 5 × 10⁴ J
3. 6 × 10⁴ J
4. 7 × 10⁴ J

Answer

E = (5/2) nRT

= (5/2) PV

= (5/2) P (m/P)

= (5 x 8 x 10⁴ x 1)/(2 x 4)

= 5 x 10⁴ J

The correct option is B.