Final answer:
The quasi-static assumption in Example 3.5 is necessary to ensure that a system remains in or near equilibrium throughout the process, allowing its properties to be well-defined and predictions to be accurate, using equilibrium thermodynamics.
Step-by-step explanation:
Understanding why it was necessary to state that the process of Example 3.5 is quasi-static is important for conceptual clarity in physics, particularly in thermodynamics. A quasi-static process is one that occurs infinitesimally slowly, allowing the system to remain in equilibrium or near-equilibrium throughout the process. This assumption simplifies the analysis by ensuring that the system passes through a series of equilibrium states and thus its properties can be well-defined at each point along the process.
In Example 3.5, if the process were not quasi-static, then it would mean the process is happening more rapidly, and the system might not pass through a series of equilibrium states. In the absence of a quasi-static process, variables such as pressure and temperature might fluctuate unpredictably, making it difficult to predict the outcome of the process or to use fundamental thermodynamic equations that assume the system is in equilibrium.