A 0.75 g sample of a metal is heated from 34C to 59C and is transferred into 523 g of water at 25C. Describe the flow of heat between the water and the metal.
I'm not sure what you want when you say describe. Heat will flow from the 59 C metal to the 25 C water. The metal will cool; the H2O will warm. The final T of both will be less then 59 and greater than 25 You can calculate the final T of both by substituting and solving for Tfinal IF you know the specific heat of the metal but I don't see that listed anywhere.
To describe the flow of heat between the water and the metal, we need to consider the principles of heat transfer. There are three forms of heat transfer: conduction, convection, and radiation.
In this scenario, when the metal is heated, it gains thermal energy through conduction. Conduction is the transfer of heat within a solid or between solids in direct contact. As the metal is heated, the thermal energy is conducted from the hotter regions of the metal to the cooler regions. This causes the temperature of the metal to increase.
Once the metal is transferred into the water, the process of heat transfer changes. The heat is now transferred from the metal to the water through a combination of conduction and convection. Conduction occurs at the interface between the metal and the water, where heat energy is transferred between the two substances due to direct contact. Convection, on the other hand, is the transfer of heat by the movement of fluid particles. In this case, as the water molecules come into contact with the hot metal, they absorb heat and become less dense. The warmer water rises, creating a convection current, while cooler water moves in to replace it. This cycle continues, resulting in the overall transfer of heat from the metal to the water.
The final result is that the metal loses heat energy, causing its temperature to decrease, while the water gains heat energy, resulting in its temperature increasing. The flow of heat is ultimately from the metal to the water due to the temperature difference between the two substances.