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JEE Main2013PhysicsKinetic Theory of GasesActual

In the isothermal expansion of 10 ~g of gas from volume V to 2 ~V the work done by the gas is 575 ~J . What is the root mean square speed of the molecules of the gas at that temperature?

Options

  1. A398 ~m / s
  2. B520 ~m / s
  3. C499 ~m / s
  4. D532 ~m / s

Correct answer

C. 499 ~m / s

Step-by-step solution

v _ rms = 3 v mass of the gas

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