College Physics III – Thermodynamics, Electricity, and Magnetism

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Diatomic Molecules

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College Physics III – Thermodynamics, Electricity, and Magnetism

Definition

Diatomic molecules are chemical compounds composed of two atoms of the same element, covalently bonded together to form a stable molecule. These molecules are commonly found in nature and play a crucial role in various physical and chemical processes, including heat capacity and the equipartition of energy.

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5 Must Know Facts For Your Next Test

  1. Diatomic molecules have a simple molecular structure, with only two atoms, which contributes to their stability and prevalence in nature.
  2. The covalent bonds in diatomic molecules are typically very strong, requiring a significant amount of energy to break them apart.
  3. The heat capacity of diatomic molecules is influenced by the equipartition of energy, which determines how the energy is distributed among the various degrees of freedom.
  4. Diatomic molecules have three degrees of freedom: two rotational and one vibrational, which are important considerations in the equipartition of energy.
  5. The specific heat capacity of diatomic gases is lower than that of polyatomic gases due to the fewer degrees of freedom available for energy distribution.

Review Questions

  • Explain how the molecular structure of diatomic molecules contributes to their stability and prevalence in nature.
    • The simple molecular structure of diatomic molecules, consisting of only two atoms covalently bonded together, confers a high degree of stability. The strong covalent bonds require a significant amount of energy to break apart, making diatomic molecules resistant to decomposition. This structural simplicity and stability are key factors that contribute to the widespread occurrence of diatomic molecules, such as hydrogen (H₂), nitrogen (N₂), and oxygen (O₂), in various natural and industrial processes.
  • Describe the relationship between the degrees of freedom of diatomic molecules and the equipartition of energy.
    • Diatomic molecules have three degrees of freedom: two rotational and one vibrational. According to the principle of equipartition of energy, the energy in a system is distributed equally among all available degrees of freedom. In the case of diatomic molecules, the energy is shared between the two rotational and one vibrational degree of freedom. This distribution of energy affects the heat capacity of diatomic molecules, as the available degrees of freedom determine the amount of energy that can be stored and released during thermal processes.
  • Analyze how the specific heat capacity of diatomic gases differs from that of polyatomic gases, and explain the underlying reasons for this difference.
    • The specific heat capacity of diatomic gases is generally lower than that of polyatomic gases. This is because diatomic molecules have fewer degrees of freedom available for energy distribution compared to polyatomic molecules. Diatomic molecules have three degrees of freedom (two rotational and one vibrational), while polyatomic molecules have additional degrees of freedom, such as multiple vibrational modes. According to the equipartition of energy, the energy is distributed among all available degrees of freedom. With fewer degrees of freedom, diatomic gases can store and release less energy per unit of temperature change, resulting in a lower specific heat capacity compared to polyatomic gases.
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