Isochoric Process in Physics| Daily Life Examples

An isochoric process is a thermodynamic process during which the volume of a system remains constant. In other words, the system undergoes changes in temperature and pressure, but there is no change in volume.
The term “isochoric” is derived from the Greek words “iso,” meaning equal, and “choric,” meaning space or volume. In mathematical terms, for an isochoric process, the change in volume (ΔV) is zero, and the work done on or by the system is also zero.

Change in volume = ΔV = 0

Daily Life Examples

In daily life, it can be challenging to find perfect examples of isochoric processes since many natural processes involve changes in volume. However, some practical approximations or scenarios where the volume change is negligible or compensated for can be considered akin to isochoric processes. Here are a few examples:

Example	Description	Mathematical Representation
Sealed Container Heating/Cooling	Volume remains constant in a sealed, lidded container during heating or cooling.	ΔV≈0
Rigid Thermos Flask	Negligible volume change in a well-insulated, rigid thermos flask when pouring in hot or cold substances.	ΔV≈0
Shock Absorbers	Mechanical systems, like shock absorbers, designed for minimal volume change during compression/expansion.	ΔV≈0 (approximation)

Mathematical Form

In the context of thermodynamics and mathematical representations, the ideal gas law can be used to describe the relationship between pressure (P), volume (V), and temperature (T) for an isochoric process. The ideal gas law is expressed as:

PV=nRT

Where:

• P is the pressure of the gas.
• V is the volume of the gas.
• n is the number of moles of the gas.
• R is the ideal gas constant.
• T is the temperature of the gas.

For an isochoric process, the volume is constant (ΔV=0). Therefore, the equation simplifies to:

P_1​V_1​=nRT_1​

Here, P_1, V₁, and T₁ represent the initial pressure, volume, and temperature, respectively.