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

What does the quantity pV kT correspond to?

Options

  1. Akinetic energy of the gas
  2. Bnumber of molecules in the gas
  3. Cmass of the gas
  4. Dnumber of moles of the gas

Correct answer

B. number of molecules in the gas

Step-by-step solution

The ideal gas equation is given by pV = nRT . The universal gas constant R is related to the Boltzmann constant k by R = N_A k , where N_A is Avogadro's number. Substituting this in the ideal gas equation, we get pV = n N_A k T . The total number of molecules in the gas is given by N = n N_A . Therefore, the equation becomes pV = N k T . Rearranging the terms, we get pV kT = N . Thus, the quantity pV kT corresponds to the number of molecules in the gas.

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