Answer :
Final answer:
The final temperature of mixing a 100 g sample of water at 90° Celsius with a 100 g sample of water at 10° Celsius will be the intermediate temperature due to the transfer of heat until thermal equilibrium is reached according to the principle of energy conservation.
Explanation:
When a 100 g sample of water at 90° Celsius is added to a 100 g sample of water at 10° Celsius, the final temperature of the mixture will be an intermediate value. This happens because the warmer water will lose some heat to the cooler water until thermal equilibrium is reached, where both samples of water have the same temperature. This process is governed by the principle of conservation of energy which states that energy cannot be created or destroyed, only transferred or converted from one form to another. Using this principle, we can solve completely for the final temperature by setting the heat lost by the warm water equal to the heat gained by the cool water, given that they have equal masses and specific heat capacities.
