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Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

An ideal gas sample of 0.177 g occupies 1000 cm ^3 at STP. Determine the rms speed of the gas molecules.

Options

  1. A750 m/s
  2. B1060 m/s
  3. C1300 m/s
  4. D41 m/s

Correct answer

C. 1300 m/s

Step-by-step solution

Density of the gas, = m V = 0.177 10⁻³ kg 10⁻³ m ^3 = 0.177 kg/m ^3 At standard temperature and pressure (STP), the pressure is P 10^5 N/m ^2 . The root mean square speed of the gas molecules is given by: v_ rms = 3P Substituting the values: v_ rms = 3 10^5 0.177 1.69 10^6 = 1300 m/s

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