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JEE Main202227 Jul 2022Morning ShiftPhysicsKinetic Theory of GasesActual

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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