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JEE Main2009PhysicsKinetic Theory of GasesActual

One kg of a diatomic gas is at a pressure of 8 10^4 ~N / m ^2 . The density of the gas is 4 ~kg / m ⁻³ . What is the energy of the gas due to its thermal motion?

Options

  1. A3 10^4 ~J
  2. B5 10^4 ~J
  3. C6 10^4 ~J
  4. D7 10^4 ~J

Correct answer

B. 5 10^4 ~J

Step-by-step solution

Thermal energy corresponds to internal energy Mass =1 ~kg density =8 ~kg / m ^3 Volume = mass density = 1 8 ~m ^3 Pressure =8 10^4 ~N / m ^2 Internal Energy = 5 2 P V =5 10^4 ~J

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