You put some ice cubes in a glass, fill the glass with cold water, and then let the glass sit on the table. Describe how the temperature of the water changes as time passes.

*as time passes the tempt. rises so the ice cube starts melting, right?

but I think it really depend on how much time passes

right

at first, the temp. will go down slightly, but then gradually increase as more time passes

if i graphed the function, the tempt(vertical) will go down and then increase with time(horizontal)?

yes, I think at first the ice will make the water a little more cold, then after some time the water will get warmer

Temperature is an exponential function

Yes, as time passes, the temperature of the water will change due to the presence of the ice cubes. Let me explain the process in more detail:

1. Initial Stage: When you put ice cubes in a glass and fill it with cold water, the temperature of the water will rapidly decrease. This is because the ice cubes are at a lower temperature than the water, and heat transfer occurs from the water to the ice cubes in an attempt to equalize the temperatures.

2. Melting Stage: As the ice cubes absorb heat from the water, they start melting. The melting ice cubes absorb the surrounding heat energy, which causes a transfer of heat from the water to the ice cubes. During this stage, the temperature of the water remains relatively constant, slightly above the freezing point of water (around 0 degrees Celsius or 32 degrees Fahrenheit). This is because the melting process requires energy, known as the heat of fusion, to convert the ice from a solid to a liquid state.

3. Equilibrium Stage: Once all the ice cubes have melted, the temperature of the water will gradually rise towards room temperature. This is because the water is now in contact with the warmer surroundings (the room), and heat energy from the surroundings will transfer to the water until reaching thermal equilibrium. The rate of temperature increase will depend on factors such as the amount of water and the surrounding temperature.

Therefore, while the ice cubes are melting, the temperature of the water remains relatively constant. After all the ice has melted, the temperature of the water will gradually rise to match the temperature of the room.