Isothermal Process: Understanding Pressure and Volume Relationship

How does pressure and volume relationship work in an isothermal process?

Given initial volume of 1.21 x 10⁻⁴ m³ and initial pressure of 129 Pa.

Answer:

In an isothermal process, the pressure and volume of an ideal gas are inversely proportional when the temperature is constant.

When dealing with an isothermal process, it is important to understand the relationship between pressure and volume in a system.

According to Boyle's Law, which states that the pressure and volume of an ideal gas are inversely proportional when the temperature is constant, the equation P₁V₁=P₂V₂ is used for calculations. Here, P₁ is the initial pressure, V₁ is the initial volume, P₂ is the final pressure, and V₂ is the final volume.

If the initial pressure of a cylinder is 129 Pa and the initial volume is 1.21 x 10⁻⁴ m³, and the volume remains constant during the isothermal process, the final pressure (P₂) would still be 129 Pa. This is because in an isothermal process with constant volume, the pressure does not change.

Understanding the pressure and volume relationship in an isothermal process is crucial for predicting changes in gas behavior and ensuring accurate calculations in thermodynamics.