Final answer:
Without specific information such as specific heat capacity and mass of the liquid, as well as details about the container and cooling process, it is not possible to calculate the additional cooling time required for a container of liquid to reach 30 F. The cooling process generally follows Newton's Law of Cooling where the rate slows as the temperature difference decreases.
Step-by-step explanation:
The student's question involves a practical understanding of the rate of heat loss from a liquid to reach a certain temperature, which can be addressed using the principles of thermodynamics. In the given scenario, a container of hot liquid cools from 160 F to 60 F in 5 minutes. To determine how much longer it will take to cool to 30 F, we would need more information, such as the specific heat capacity of the liquid, the mass of the liquid, the construction material of the container, and the type of cooling process (which could map to an exponential decay in temperature over time, for example). However, since we don't have this specific information, we are unable to accurately calculate the additional cooling time required.
It is important to note that cooling often does not happen at a constant rate. It follows a form of Newton's Law of Cooling, which shows that the rate of temperature change of an object is proportional to the difference in temperatures between the object and the surrounding environment. As such, the rate of cooling slows down as the object temperature gets closer to the ambient temperature.
The provided reference texts discuss the behaviour of water and ice during phase changes and heat transfer, but they do not directly provide the data needed to calculate the cooling time for the liquid in the container.