Final answer:
The latent heat of vaporization must be calculated to find the final temperature of the coffee after 2.00 g has evaporated, utilizing principles of calorimetry and specific heat.
Step-by-step explanation:
The question asks for the final temperature of 250 g of coffee initially at 90.0°C when 2.00 g of the coffee evaporates. To determine this, we need to use the concept of latent heat of vaporization.
The latent heat is the amount of heat absorbed or released by a substance during a change in its physical state (phase) without changing its temperature. Here, when water evaporates from the coffee, it absorbs heat from the remaining liquid, thereby reducing its temperature.
To solve this, the heat required for the vaporization of water (q) can be calculated using the formula: q = m × Lv, where m is the mass of water evaporated and Lv is the latent heat of vaporization of water. The heat lost by the coffee will be equal to the heat gained by the water vapor. Using calorimetry principles and the specific heat capacity of water, this heat can be related to the final temperature of the coffee.