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JEE MainPhysicsKinetic Theory of Gases

A sample of an ideal gas is heated from 27^ C to 177^ C . The percentage increase in the average translational kinetic energy of the gas molecules is

Options

  1. A50 %
  2. B150 %
  3. C556 %
  4. D656 %

Correct answer

A. 50 %

Step-by-step solution

The average translational kinetic energy of an ideal gas molecule 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 The percentage increase in kinetic energy is given by: E E₁ 100 % = T₂ - T₁ T₁ 100 % Substituting the values: 450 - 300 300 100 % = 150 300 100 % = 50 % Answer: 50 %

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