Final answer:
The question involves the application of the ideal gas law and the Van der Waals equation to calculate temperature, work done, and other properties of an ideal gas under different conditions and processes.
Step-by-step explanation:
The student's question pertains to the behavior of an ideal gas undergoing different processes and involves the application of the ideal gas law. The ideal gas law is expressed as PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin. Using this equation, one can calculate the change in various state variables (like temperature, pressure, or volume) when an ideal gas goes through different transitions from one state to another. Additionally, the concepts of work done by the gas during an isothermal process and an isobaric process can also be explored through these scenarios. The question also involves the comparison of the ideal gas equation with the Van der Waals equation, which is a more accurate representation of real gas behavior under certain conditions and includes correction factors for gas particle volume and intermolecular forces represented by constants a and b.