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MHT CET20226 Aug 2022Morning ShiftPhysicsKinetic Theory of GasesActual

The r.m.s. speed of gas at temperature T is 2 times the r.m.s speed at 320 ~K . The value of the Temperature T is

Options

  1. A1280 ~K
  2. B960 ~K
  3. C640 ~K
  4. D2560 ~K

Correct answer

A. 1280 ~K

Step-by-step solution

According to the kinetic theory of gases the Kinetic energy of a molecule is proportional to the temperature. aligned & K₁ K₂ = T₁ T₂ = ( v₁ v₂ )^2 & T₁ 320 ~K = ( 2 1 )^2 & T₁=1280 ~K aligned

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