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MHT CET202619 April 2026Morning ShiftPhysicsKinetic Theory of GasesActual

The kinetic energy of an ideal gas is E₀ at 27^ C . When the temperature is increased to 177^ C , then kinetic energy will be

Options

  1. AE₀ / 2
  2. B2E₀ / 3
  3. C3E₀ / 2
  4. D2E₀

Correct answer

C. 3E₀ / 2

Step-by-step solution

The kinetic energy of an ideal gas is directly proportional to its absolute temperature. E T Initial temperature T₁ = 27^ C = 27 + 273 = 300 K Final temperature T₂ = 177^ C = 177 + 273 = 450 K Using the relation E₁ T₁ = E₂ T₂ : E₀ 300 = E₂ 450 E₂ = E₀ 450 300 = 3E₀ 2 Answer: 3E₀ / 2

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