Hyperbolic is an adjective describing something that resembles or pertains to a hyperbola (a curve), to hyperbole (an overstatement or exaggeration), or to hyperbolic geometry.

Process with no heat supply or rejection and non-constant entropy

Process in thermodynamics refers to the transformation of a thermodynamic system from one state to another. In some cases, there may be no heat supplied or rejected from the system, and the entropy of the system is not constant during the process.

Types of processes

There are different types of thermodynamic processes based on the variables that remain constant during the transformation. Some of these processes include:

1. Isothermal process: A process in which the temperature of the system remains constant. This means that the heat supplied or rejected is equal to the work done by the system.

2. Isentropic process: A process in which the entropy of the system remains constant. This means that there is no heat supplied or rejected from the system, and the work done is reversible.

3. Polytropic process: A process in which the pressure and volume of the system are related by a power law equation.

4. Hyperbolic process: A process in which the volume of the system is inversely proportional to the pressure.

The correct answer

From the given options, the correct answer is option D, which refers to a hyperbolic process. In this process, there is no heat supplied or rejected from the system, and the entropy is not constant. The volume of the system is inversely proportional to the pressure, which means that as the pressure increases, the volume decreases, and vice versa.

Conclusion

In conclusion, thermodynamic processes are essential in understanding the behavior of thermodynamic systems. The type of process that occurs in a system depends on the variables that remain constant during the transformation. In the case of a process with no heat supplied or rejected from the system and non-constant entropy, the correct option is a hyperbolic process.

Polytropic