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NEETPhysicsKinetic Theory of Gases

Which of the following statements regarding ideal gases is incorrect?

Options

  1. AAt a given temperature and pressure, the number density of all ideal gases is the same.
  2. BAt a given temperature and pressure, the molar volume of all ideal gases is identical.
  3. CAt a given temperature and pressure, the mass density of all ideal gases is the same.
  4. DAt a given temperature and pressure, the mass density of an ideal gas is directly proportional to its molar ma

Correct answer

C. At a given temperature and pressure, the mass density of all ideal gases is the same.

Step-by-step solution

Let us evaluate each statement using the ideal gas equation. The ideal gas equation is PV = nRT = N k_B T . Number density ( n_v ) is the number of molecules per unit volume: n_v = N V = P k_B T . Since it depends only on pressure and temperature, it is the same for all ideal gases at a given P and T . Molar volume is the volume occupied by one mole of gas: V n = RT P . This is also identical for all ideal gases at a given P and T . Mass density ( ) is given by = P M₀ RT , where M₀ is the molar mass. Since differen

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