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We have a jar filled with gas characterized by parameters P , V , T and another jar B filled with gas having parameters 2 P , V 4 , 2 ~T , where symbols have their usual meaning. The ratio of number of molecules in jar A to those in jar B is

Options

  1. A1: 1
  2. B1: 2
  3. C2: 1
  4. D4: 1

Correct answer

D. 4: 1

Step-by-step solution

According to the gas equation, PV = Nk _ B T For the first gas, we have, PV = N ₁ k _ B T For the second gas, we have, (2P) ( V 4 )= N ₂ k _ B (2 ~T ) PV =4 ~N ₂ k _ B T From equations (i) and (ii) N ₁=4 ~N ₂ N ₁ ~N ₂ =4

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