Define kinetic energy and thermal energy. Describe what happens to each as the temperature of a substances increases.

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Kinetic Energy: Kinetic energy (KE) is the energy that an object possesses due to its motion. It is defined mathematically by the formula:

\[ KE = \frac{1}{2}mv^2 \]

where \( m \) is the mass of the object and \( v \) is its velocity. In the context of molecular and atomic systems, the kinetic energy of molecules is related to their motion; this includes translational motion (movement through space), rotational motion (spinning), and vibrational motion (oscillation).

Thermal Energy: Thermal energy is a form of internal energy that is associated with the temperature of a system. It arises from the kinetic energy of the random motion of particles within a substance (such as atoms and molecules). Thermal energy is a measure of the total energy of all the microscopic constituents in a material, and it reflects the temperature and phase of that material.

Effect of Increasing Temperature

  1. Kinetic Energy:

    • As the temperature of a substance increases, the kinetic energy of its molecules also increases. This is because temperature is directly related to the average kinetic energy of the molecules in a substance. According to the kinetic theory of gases, for example, an increase in temperature results in a greater average velocity of the molecules, thereby increasing their kinetic energy.
  2. Thermal Energy:

    • Similarly, as the temperature of a substance rises, its thermal energy increases. This is due to the increased kinetic energy of the particles, which contributes to the overall internal energy of the substance. Essentially, thermal energy encompasses the kinetic energy associated with the random motion of the particles at the microscopic level.

Summary

In summary, both kinetic energy and thermal energy increase as the temperature of a substance increases. An increase in temperature leads to faster-moving particles, which translates to higher kinetic energy and, consequently, greater thermal energy within the substance.

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