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NEETPhysicsKinetic Theory of Gases

Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1 : 4 , then A . The r.m.s. velocity of gas molecules in two vessels will be the same. B . The ratio of pressure in these vessels will be 1 : 4 . C . The ratio of pressure will be 1 : 1 . D . The r.m.s. velocity of gas molecules in two vessels will be in the ratio of 1 : 4 .

Options

  1. AA and C only
  2. BB and D only
  3. CA and B only
  4. DC and D only

Correct answer

C. A and B only

Step-by-step solution

The rms velocity of a gas is given by V rms = 3 R T M . Therefore, V rms is independent of number of moles, Hence, statement A is correct and D is incorrect. According to the ideal gas equation P V = n R T ⇒ P ∝ n ⇒ P 1 P 2 = n 1 n 2 = 1 4 Hence, statement B is correct and C is incorrect. Ans [ A & B only are correct]

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