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Most Important Selected Qs for JEE AdvancedPhysicsKinetic Theory of Gases

A container holds 10²⁶ molecules / m ^3 , each of mass 3 10⁻²⁷ ~kg . Assume that 1 / 6 of the molecules move with velocity 2000 ~m / s directly towards one wall of the container while the remaining 5 / 6 of the molecules move either away from the wall or in perpendicular direction, and all collisions of the molecules with the wall are elastic

Options

  1. ANumber of molecules hitting 1 ~m ^2 of the wall every second is 3.33 10²⁸ .
  2. BNumber of molecules hitting 1 ~m ^2 of the wall every second is 2 10²⁹ .
  3. CPressure exerted on the wall by molecules is 24 10^5 ~Pa .
  4. DPressure exerted on the wall by molecules is 4 10^5 ~Pa .

Correct answer

D. Pressure exerted on the wall by molecules is 4 10^5 ~Pa .

Step-by-step solution

aligned & 10²⁶ 1 6 2000 & P = 1 6 3 10⁻²⁷ 2 10²⁶ (2000)^2 aligned

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