Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases
For an ideal gas, consider the expression MkT pV , where M denotes the mass of the gas. This expression depends on the
Options
- Apressure of the gas
- Btemperature of the gas
- Cvolume of the gas
- Dnature of the gas
Correct answer
D. nature of the gas
Step-by-step solution
Using the ideal gas equation, pV = nRT . The number of moles n = M M₀ , where M is the given mass and M₀ is the molar mass of the gas. The universal gas constant R = N_A k , where N_A is Avogadro's number and k is the Boltzmann constant. Substituting these into the ideal gas equation gives pV = M M₀ N_A k T . Rearranging the terms, we get MkT pV = M₀ N_A . The term M₀ N_A represents the mass of a single molecule of the gas, which is a constant for a specific gas. Thus, the expression depends only on the nature of t