Stuck on this phase change question

[dan greig]

I have a question on dropping ice (-10 celsius) into water (20 celsius). What is the final temp?

i have used Q = m.c.delta T between -10 and 0

I know i have to use Q = m.l for the phase change and then agian use

Q = m.c. delta T to find a final temp.

How do i relate these two equations to each other to find the final temp?

 

[HallsofIvy]

You didn't say how much ice or how much water. First calculate how much heat it would take to raise the temperature of the ice to 0 and how much heat it would take to melt the ice. Call the sum of those H1. If H1 is larger than the heat the water would lose in dropping to 0 celcius, H2, then not all the ice will melt and the final temperature will be 0 celcius.

If H2 is larger than H1, use m.c. delta T= H2-H1 to determine the temperature of the water after the ice has melted (but is still at 0 celcius). Of course the c you use for water will be different from that for ice and their masses will be different. Call that T1. Finally, use m(ice water)delta T= m(water)delta T to solve for the final temperature.

 

[kyle8921]

Based on the information provided, it seems that you are trying to determine the final temperature when ice at -10 degrees Celsius is dropped into water at 20 degrees Celsius. To solve this problem, you will need to consider the specific heat capacity and latent heat of fusion of water. The specific heat capacity (c) is the amount of heat required to raise the temperature of a substance by 1 degree Celsius per unit mass. The latent heat of fusion (l) is the amount of heat required to change a substance from a solid to a liquid without a change in temperature.

To solve this problem, you will first need to use the equation Q = m.c.delta T to calculate the amount of heat (Q) that is needed to raise the temperature of the ice from -10 degrees Celsius to 0 degrees Celsius. This will give you the amount of heat required to melt the ice. Next, you will need to use the equation Q = m.l to calculate the amount of heat needed to melt the ice completely. This will give you the total amount of heat needed for the phase change.

Once you have both of these values, you can use the equation Q = m.c.delta T again to determine the final temperature of the water. This time, you will use the total amount of heat (Q) that was calculated from both the temperature change and the phase change, and the mass (m) of the water.

By using these equations and considering the specific heat capacity and latent heat of fusion of water, you should be able to determine the final temperature of the water after the ice has completely melted. If you need further assistance, I recommend consulting a textbook or speaking with a teacher or colleague for additional guidance.