where \(P\) is the pressure, \(V\) is the volume, \(n\) is the number of moles, \(R\) is the gas constant, and \(T\) is the temperature.

\[ΔE = Q - W\]

Thermodynamics is the branch of physics that deals with the relationships between heat, work, and energy. It is a fundamental discipline that underlies many fields, including engineering, chemistry, and materials science. The study of thermodynamics allows us to understand and predict the behavior of complex systems, from the efficiency of engines to the properties of materials.

The zeroth law of thermodynamics, also known as the “law of thermal equilibrium,” states that if two systems are in thermal equilibrium with a third system, then they are also in thermal equilibrium with each other. This law allows us to define a temperature scale, such as the Celsius or Kelvin scale, which is a measure of the thermal energy of a system.

Fundamentals of Thermodynamics by Sonntag: An In-Depth Exploration**