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MHT CET202525 Apr 2025Evening ShiftPhysicsKinetic Theory of GasesActual

The initial average kinetic energy of the molecules was E , when a gas sample is at 27^ C . When the gas is heated to 327^ C , then the final average kinetic energy will be

Options

  1. A2 E
  2. B2 E
  3. C300 E
  4. D327 E

Correct answer

B. 2 E

Step-by-step solution

The average kinetic energy of an ideal gas is directly proportional to its absolute temperature, expressed as E_ avg = 3 2 kT , where k is Boltzmann's constant and T is in Kelvin. Converting the given temperatures to Kelvin: T₁ = 27 + 273 = 300 K T₂ = 327 + 273 = 600 K Since E_ avg T , the ratio of final to initial kinetic energy equals the temperature ratio: E₂ E = T₂ T₁ = 600 300 = 2 Final average kinetic energy: E₂ = 2E

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