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MHT CET Medical202622 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

If the pressure of the gas is kept constant, then the mean free path ( ) of a gas varies with temperature ( T ) according to relation

Options

  1. AT
  2. BT
  3. C1 T
  4. D1 T

Correct answer

A. T

Step-by-step solution

The mean free path of a gas molecule is given by = 1 2 d^2 n where d is the diameter of the molecule and n is the number of molecules per unit volume. From the ideal gas equation, P = n k_B T , which gives n = P k_B T . Substituting this into the expression for mean free path, we get = k_B T 2 d^2 P For a given gas at constant pressure, P is constant. Therefore, T Answer: T

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