Final answer:
To determine the final equilibrium temperature of a mixture of 1kg of boiling water and 1kg of oil at 20°C, one would use the conservation of energy principle and the specific heat capacities of both substances.
Step-by-step explanation:
The question involves thermal equilibrium which is a concept from Physics. To find the final temperature when 1kg of boiling water at 100°C is mixed with 1kg of oil at 20°C, we must take into account the specific heat capacities of water and oil and apply the principle of the conservation of energy. The energy lost by the hot water as it cools down will be equal to the energy gained by the cooler oil as it warms up until they reach the same temperature.
Heat transfer will occur between the substances until thermal equilibrium is reached. A simplified equation that describes this process is Q_lost = Q_gained, where 'Q' represents thermal energy. For water and oil, we would have to use their specific heat capacities along with their masses and temperature changes to solve for the final equilibrium temperature. This calculation assumes that no other heat transfer takes place with the surroundings.