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NEET2005PhysicsKinetic Theory of GasesActual

When temperature of an ideal gas is increased from 27^ C to 227^ C , its rms speed is changed from 400 ~m / s to v_s . Then, v_s is

Options

  1. A516 ~m / s
  2. B450 ~m / s
  3. C310 ~m / s
  4. D746 ~m / s

Correct answer

A. 516 ~m / s

Step-by-step solution

We know that rms speed is directly proportional to square root of temperature v_ rms T Hence, v_ rms (1) v_ rms (2) = T₁ T₂ aligned & 400 v_ rms (2) = 27+273 227+273 = 300 500 & V_ rms (2) = 500 300 400 & =1.29 400=516.39 ~m / s & 516 ~m / s & aligned

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