What is the Difference Between Enthalpy and Internal Energy?

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The main difference between enthalpy and internal energy lies in the factors they consider. Here's a comparison of the two concepts:

  • Enthalpy (H): Enthalpy is a measure of the total heat energy absorbed or released in a thermodynamic system, accounting for the pressure-volume work of the system. It is defined as U + pV, where U is the internal energy, p is the pressure, and V is the volume. Enthalpy is used for constant pressure systems.
  • Internal Energy (U): Internal energy refers to the sum of the potential and kinetic energies in a system. It is the heat energy of the system at constant volume. Internal energy is used for constant volume processes.

In summary, enthalpy accounts for the pressure-volume work of a system, while internal energy only considers the heat energy of the system at constant volume.

Comparative Table: Enthalpy vs Internal Energy

Here is a table summarizing the differences between enthalpy and internal energy:

Property Enthalpy (H) Internal Energy (U)
Definition Enthalpy is the sum of internal energy and the product of pressure-volume work. Internal energy is the sum of potential energy and kinetic energy within a system. It represents the total energy of the system.
State Function Yes, enthalpy is a state function. Yes, internal energy is a state function.
Energy Types Enthalpy combines internal energy and energy due to the volume of the system. Internal energy can be either potential energy or kinetic energy.
Dependence on Temperature Enthalpy increases with temperature. The change in enthalpy is equal to the energy supplied as heat at constant pressure (dH = dQp). Internal energy increases with temperature, as the kinetic energy of particles in a system rises when the temperature goes up.
Determining Changes The change in enthalpy (∆H) can be calculated by finding the difference between the final enthalpy (Hf) and the initial enthalpy (Hi). The change in internal energy (∆U) can be evaluated by measuring the heat transfer (q) at constant volume using the equation ∆U = q – w.

In summary, enthalpy and internal energy are both essential concepts in thermodynamics, each providing unique insights into the energy dynamics of a system. Enthalpy is particularly useful for understanding heat exchange and work during chemical reactions, whereas internal energy provides a broader understanding of the total energy within a system.