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MHT CET202618 April 2026Morning ShiftPhysicsKinetic Theory of GasesActual

The r.m.s. speed of hydrogen at S.T.P. is ' u ' m/s . If the gas is heated at constant pressure till its volume becomes three times, the final temperature of the gas and the r.m.s. speed are respectively

Options

  1. A1092 K , 3u m/s
  2. B1092 K , u 3 m/s
  3. C819 K , 3 ,u m/s
  4. D819 K , u 3 m/s

Correct answer

C. 819 K , 3 ,u m/s

Step-by-step solution

Initial temperature at S.T.P. is T₁ = 273 K . At constant pressure, volume is directly proportional to absolute temperature ( V T ). Since the volume becomes three times ( V₂ = 3V₁ ), the final temperature becomes: T₂ = 3T₁ = 3 273 = 819 K The r.m.s. speed of a gas is given by u = 3RT M , which implies u T . u₂ u₁ = T₂ T₁ = 3T₁ T₁ = 3 u₂ = 3 u Answer: 819 K , 3 ,u m/s

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