Final answer:
Without additional context or data, it is not possible to provide an exact answer for the mechanical air discharge rate necessary for a system with 2,000 pounds of refrigerant. Calculations for discharge rates rely on system characteristics and principles such as evaporative cooling and fluid dynamics.
Step-by-step explanation:
The question regarding the mechanical air discharge needed for a system containing 2,000 pounds of refrigerant does not provide sufficient context or data for a precise answer. In air conditioning and refrigeration systems, the discharge rate calculation requires additional information about the system's characteristics, including the type of refrigerant, the thermal properties of the system, the temperature difference that needs to be maintained, and other environmental considerations.
However, the flow rate of air in cooling systems often relates to the heat transfer required to maintain temperature conditions for efficient operation. For example, the usage of cooling towers and the associated evaporative cooling effect can drastically reduce the amount of air required to remove heat, as evaporation is an effective means of heat removal. Specifically, as noted in the reference, evaporation removes larger quantities of heat compared to merely heating the air by a certain temperature.
Fundamental principles, such as Poiseuille's law for laminar flow in conduits or Bernoulli's principle for fluid dynamics, might be relevant when designing such systems.