Final answer:
To calculate the final temperature when metal is dropped into water, you can use the principle of conservation of energy and the specific heat capacity of the metal and water. Calculate the heat gained by the water and the heat lost by the metal, and then set them equal to each other to solve for the final temperature.
Step-by-step explanation:
In order to calculate the final temperature when a metal is dropped into water, we need to use the principle of conservation of energy and the specific heat capacity of the metal and water.
First, we can calculate the heat gained by the water using the equation q = mcΔT, where q is the heat gained, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature. Then, we can calculate the heat lost by the metal using the same equation and the specific heat capacity of the metal. Since the heat gained by the water is equal to the heat lost by the metal, we can set the two equations equal to each other and solve for the final temperature.
For example, in the given situation, we have the mass of the metal (248 g), the initial temperature of the metal (314 °C), the mass of the water (390 mL), and the initial temperature of the water (22.6 °C). By calculating the heat gained by the water and the heat lost by the metal and setting them equal to each other, we can solve for the final temperature.