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Some ideal monoatomic gas A in an enclosure has a pressure P and the temperature T . Another ideal monoatomic gas B enclosed in a container of the same volume has a pressure 2 P and the temperature T 2 . The ratio of the average kinetic energy per molecule of gas A to gas B is

Options

  1. A4 : 1
  2. B2 : 1
  3. C1 : 2
  4. D1 : 4

Correct answer

B. 2 : 1

Step-by-step solution

The average kinetic energy, K = 3 2 k T ∴ K ∝ T ∴ K 1 K 2 = T 1 T 2 = T T 2 = 2 1 ∴ K 1 : K 2 = 2 : 1

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