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QPage 77: Q7: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Page 77: Q7 Solution: Four cylinders contain equal number of moles of argon,…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume all gases have the same internal energy at a given temperature, ignoring that $U = nC_VT$ depends on the molecular structure. Argon is monatomic with only 3 translational degrees of freedom ($C_V = \frac{3}{2}R$), whereas hydrogen, nitrogen, and carbon dioxide have additional rotational or vibrational modes, resulting in higher $C_V$ values and greater total energy.

Four cylinders contain equal number of moles of argon, hydrogen, nitrogen and carbon dioxide at the same temperature. The energy is minimum in

Multiple Choice Options

  • A argon
  • B hydrogen
  • C nitrogen
  • D carbon dioxide

Step-by-Step Verified Solution

**Answer:** (a) argon. **Step-by-Step Explanation:** For equal moles at the same temperature, the energy is U = nC_vT. Argon (monatomic) has C_v = (3/2)R, which is the smallest among the options.

All Questions in this Chapter

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