Calculating Final Temperature of Phase Change Using Heat Absorption

In summary, the conversation is about calculating the final temperature of liquid water after a 10-kg block of ice absorbs 4.12E6J of heat. The conversation discusses the formulas Q=mcT and Q=mL and how they can be used to calculate the final temperature. The issue of latent heat required for the phase change from ice to liquid water is also brought up and a suggested approach is given to solve the problem.
  • #1
gamesandmore
32
0

1. A 10-kg block of ice has a temperature of -10°C. The pressure is one atmosphere. The block absorbs 4.12E6J of heat. What is the final temperature of the liquid water?



2. Q = mL and Q = cm/\T



3. I tried doing Q = cmT and plugging in the values above to get 88.4 degrees as the final temperature, and using 4186J/(kgCdegree) for c, but it's wrong. I am confused on these types of problems.

 
Physics news on Phys.org
  • #2
you've ignored the latent heat required for the phase change from ice to liquid water...
 
  • #3
I know, but I don't understand how it fits in.

mL + cmT = cmT?
 
  • #4
you could try working out how much specific heat would be needed to raise it to melting point, then the latent heat needed to melt it, then subtract both these values from the total energy, and do one more Q=cmT calculation to work out the final temperature.
 
  • #5
what is the total energy, and how would that work, subtracting Q-L if they both have different units?
 
  • #6
sorry, bit ambiguous there. By total energy, I meant the number you were given for the total work applied.

I would approach this problem like this (there's probably a more elegant way, and if you want to leave the terms algebraic and cancel down etc, that might help. Given a calculator, many people don't find it necessary)

1. use Q=mcT to calculate how much heat one would have to apply to the water to heat it to 0 degrees (i.e T = 10). Call this Q_1 for example

2. use Q = mL to calculate the latent heat that will be required to change the material to a liquid. Call this amount of heat Q_2 perhaps.

3. now, Q_1 + Q_2 is the total heat you have "used" so far. Subtract this from the amount of heat that was applied in total: 4.12E6 - Q_1 - Q_2. Call the remaining amount of heat Q_3

4. finally, work out the temperature change you get from applying this remaining amount of heat Q_3 to the (now liquid) water, starting at 0 degrees.
 
  • #7
thank you very much, you helped me a lot.
 

FAQ: Calculating Final Temperature of Phase Change Using Heat Absorption

What is heat and how is it related to temperature?

Heat is a form of energy that is transferred from one object or system to another due to a difference in temperature. Temperature is a measure of the average kinetic energy of particles in a substance, and as heat is transferred, it causes a change in temperature.

What are the three phases of matter and how do they differ in terms of heat?

The three phases of matter are solid, liquid, and gas. In solids, the particles are tightly packed and have a fixed shape and volume. In liquids, the particles are close together but can move around, giving them a fixed volume but a variable shape. In gases, the particles are far apart and can move freely, giving them variable shape and volume. Heat can cause phase changes between these states by either adding or removing energy from the particles.

What is the difference between specific heat and heat capacity?

Specific heat is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. Heat capacity, on the other hand, is the amount of heat required to raise the temperature of an entire object by one degree Celsius. It is typically measured in joules per degree Celsius (J/C).

How does heat affect phase changes?

During a phase change, the temperature of a substance remains constant as heat energy is used to break or form bonds between particles. For example, when water is heated from its solid state (ice) to its liquid state, the heat energy is used to break the bonds between the water molecules, causing the temperature to remain at 0 degrees Celsius until all the ice has melted.

What is the difference between melting and freezing?

Melting is the process by which a solid substance changes into a liquid state due to the addition of heat energy. Freezing is the opposite process, where a liquid substance changes into a solid state by removing heat energy. Both processes occur at a specific temperature known as the melting point and freezing point, respectively.

Back
Top