Solving Heat Transfer & Temperature Equilibrium Problems

In summary, to melt 1.0 kg of ice and turn it into steam, you will need to apply a certain amount of heat, taking into account the latent heat of melting and vaporization, as well as the specific heats of ice, water, and steam. In the second problem, the energy needed to cool the lead plate to 90 degrees Celsius will be equal to the energy needed to heat the 200 L tank of water from 25 degrees Celsius to the final equilibrium temperature. To solve these problems, you can use the equations Q=mcT and refer to tables of specific heats and latent heats.
  • #1
calculusisrad
20
0
You place 1.0 kg of ice ( at 0 deg c) in a pot and heat t until the ice melts and the water boils off, making steam. How much heat must you apply to achieve this?


Also, a printing plate of 20 kg is made of lead. After casting, the solid lead cools to 90 deg c . It is then dropped into a 200 l tank of water initially at 25 deg c. What is the final equilibrium temp?

I just don't even know how to start these problems, but I'm sure it's easy. Please help cause I don know what to do!

Equations:
Q=mcT

Is what I think you need.

Thanks!
 
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  • #2
Hi calculusisrad,
Problem #1:
You have two transitions here if you like. Ice to water, and water to steam. Therefore you will have to consider multiple energies to break the bonds and also raise the temperature of the ice/water (latent heat/sensible heat).

Problem #2:
Here, the energies (Q=mcΔt) for the plate and tank of water are equal.

Hope this helps.
 
  • #3
Search:
latent heat of melting
latent heat of vaporization
table of specific heats
 

FAQ: Solving Heat Transfer & Temperature Equilibrium Problems

What is heat transfer?

Heat transfer is the process of transferring thermal energy from one object to another due to a temperature difference between the two objects. This can occur through conduction, convection, or radiation.

What is temperature equilibrium?

Temperature equilibrium is when two objects that are in contact reach the same temperature, as thermal energy is transferred between them until their temperatures are equal.

How do you solve heat transfer problems?

To solve heat transfer problems, you must first identify the type of heat transfer (conduction, convection, or radiation) and then apply relevant equations and principles such as Fourier's law or Newton's law of cooling. It is also important to consider boundary conditions, material properties, and any external factors that may affect the transfer of heat.

What are some common mistakes when solving heat transfer problems?

Some common mistakes when solving heat transfer problems include not considering all relevant factors, using incorrect equations or assumptions, and not converting units correctly. It is important to carefully read and understand the problem and double-check calculations to avoid these mistakes.

How can heat transfer problems be applied in real life?

Heat transfer is a fundamental concept in many fields, including engineering, physics, and chemistry. It is used in designing and optimizing heating and cooling systems, understanding weather patterns, and developing new materials. It also has many applications in everyday life, such as cooking, heating and cooling buildings, and maintaining the temperature of electronic devices.

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