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Concepts Of Physics MCQ Edition [Volume 2]PhysicsSpecific Heat Capacities of Gases

At STP, the molar heat capacity of oxygen gas is nearly 2.5 R . With an increase in temperature, it gradually rises and approaches 3.5 R . The most fitting reason for this behaviour is that at high temperatures

Options

  1. Amolecular vibrations progressively become effective
  2. Boxygen does not behave like an ideal gas
  3. Cthe molecules undergo collisions more frequently
  4. Doxygen molecules dissociate into atoms

Correct answer

A. molecular vibrations progressively become effective

Step-by-step solution

At STP, oxygen ( O₂ ) acts as a rigid diatomic molecule with 3 translational and 2 rotational degrees of freedom. Total degrees of freedom, f = 5 . The molar heat capacity at constant volume is C_v = f 2 R = 5 2 R = 2.5 R . At high temperatures, the vibrational degrees of freedom become active. A diatomic molecule has one vibrational mode, which contributes 2 additional degrees of freedom (one for kinetic energy and one for potential energy). Total degrees of freedom at high temperature, f = 5 + 2 = 7 . The molar h

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