I am designing a lab right now, and I want to know: if I fill a beaker with cold water from the tap and submerge a sample of solid metal, after a couple of minutes, the metal should be the same temp as the water, right? Would it be quicker to use hot water instead?

What metal? You don't want an active metal, or it will react with the water. I remember a college professor that submerged Magnesium and wondered what the bubbles forming were. Duh.

Yes, I would use slighly cooled room temp water (room water with one ice cube added, remove the ice cube before adding the warm metal. I would heat the metal in boiling water, so you know what the initial temp is. Heat losses are significant, so use a styrofoam beaker or styrofoam cup. If you know the mass of the cup, and the mass of the metal, then you can mass the final system (cup, water, metal) to get the mass of the water.

Ok, thanks a lot! It's an unknown metal. I'm sure it wouldn't be anything reactive in water. :)

To determine if the metal sample will reach the same temperature as the water in a beaker, we need to consider the principles of heat transfer and the specific heat capacities of the metal and water.

In this case, we can assume that the heat transfer occurs through conduction, as the metal is in direct contact with the water. The rate at which heat transfers from the water to the metal depends on several factors, including the temperature difference between the metal and the water, the thermal conductivity of the metal, and the surface area of the metal in contact with the water.

Using hot water instead of cold water could potentially speed up the process of reaching equilibrium, where the metal and water are at the same temperature. This is because the temperature difference between the hot water and the metal would initially be greater than that between the cold water and the metal. As a result, the heat transfer rate from the hot water to the metal would be higher.

However, the overall time it takes for the metal to reach the same temperature as the water will depend on various factors, such as the mass and specific heat capacity of the metal, as well as the initial temperature difference between the metal and the water.

It's important to note that using hot water may introduce additional variables, such as evaporation and the potential for thermal expansion, which could impact the results of your experiment. Therefore, it's generally recommended to use cold water to ensure more controlled and consistent experimental conditions.

To determine the exact time required for the metal to reach the same temperature as the water, you can measure the initial temperature of the metal and the water, record the temperature at regular intervals, and analyze the data to observe the rate of temperature change. This can help you draw conclusions about the effectiveness of different experimental conditions.

In summary, while using hot water may potentially expedite the process of reaching equilibrium, the impact is dependent on several factors. It's advisable to use cold water in most cases to ensure more controlled experimental conditions, but ultimately, conducting experimental trials and analyzing the data will provide the most accurate insight into the specific scenario you're investigating.