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QPage 34: Q23: HC Verma: Concepts of Physics - Volume 2 Kinetic Theory of Gases Page 34: Q23 Solution: Which of the following quantities is the same for all ideal…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often confuse the total kinetic energy of a fixed mass (1 g) with that of a fixed amount of substance (1 mole). Since $KE_{total} = \frac{3}{2} nRT$, the energy depends on the number of moles $n$; thus, 1 mole of any gas has the same energy at a given $T$, but 1 g of different gases contains different numbers of moles and therefore different total energies.

Which of the following quantities is the same for all ideal gases at the same temperature?

Multiple Choice Options

  • A a) The kinetic energy of 1 mole
  • B b) The kinetic energy of 1 g
  • C c) The number of molecules in 1 mole
  • D d) The number of molecules in 1 g

Step-by-Step Verified Solution

**Answer:** a), c). **Step-by-Step Explanation:** At the same temperature, the kinetic energy of 1 mole is the same for all ideal gases (a). The number of molecules in 1 mole is Avogadro's number, same for all gases (c).

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