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

Provided the number of moles, volume, and temperature are kept identical, which of the following is the same for all ideal gases?

Options

  1. AAverage magnitude of momentum
  2. BPressure
  3. CRms speed of a molecule
  4. DDensity

Correct answer

B. Pressure

Step-by-step solution

According to the ideal gas equation, PV = nRT . Rearranging for pressure, we get P = nRT V . Since the number of moles n , volume V , and temperature T are identical for all ideal gases, and R is the universal gas constant, the pressure P will be the same for all ideal gases. The other quantities depend on the molar mass M or molecular mass m of the gas: Average magnitude of momentum is proportional to mT . Rms speed of a molecule is v_ rms = 3RT M . Density is = nM V . Since different gases have different molar ma

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