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NEETPhysicsKinetic Theory of Gases

In the kinetic theory of gases, which of these statements is/are true? (i) The pressure of a gas is proportional to the mean speed of the molecules. (ii) The root mean square speed of the molecules is proportional to the pressure. (iii) The rate of diffusion is proportional to the mean speed of the molecules. (iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.

Options

  1. A(ii) and (iii) only
  2. B(i),(ii) and (iv) only
  3. C(i) and (iii) only
  4. D(iii) and (iv) only

Correct answer

D. (iii) and (iv) only

Step-by-step solution

Pressure is proportional to the square of velocity (whether RMS or mean or most probable, just the constant of proportionality changes). Hence (i) and (ii) are false. Rate of diffusion is proportional to the mean speed, (this is true) The average kinetic energy is proportional to temperature in the kelvin scale. Hence, statement (iii) and (iv) are true.

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