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BITSAT2011PhysicsKinetic Theory of GasesActual

The molecules of a given mass of gas have a root mean square velocity of 200 ~m ~s ⁻¹ at 27^ C and 1.0 10⁵ Nm ⁻² pressure. When the temperature is 127^ C and the pressure 0.5 10⁵ Nm ⁻², the root mean square velocity in ms ⁻¹ , is

Options

  1. A400 3
  2. B100 2
  3. C100 2 3
  4. D100 3

Correct answer

A. 400 3

Step-by-step solution

c₂ c₁ = 400 300 = 2 3 c₂= 2 3 200= 400 3 ~ms ⁻¹

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