Entropy & Temperature change with applied Magnetic Field

In summary, the conversation is about relating an induced magnetic field to a change in entropy and ultimately a change in temperature for Gadolinium. The process is adiabatic and the initial temperature is given. The equation Q=integral of TdS is mentioned as a possible way to relate the entropy change to the final temperature, and the idea of using the ratio \left(\frac{\partial T}{\partial S}\right)_P is brought up as a potential solution. The conversation also mentions the mass of Gadolinium as 10kg.
  • #1
pmccunney
1
0
Can someone please help me on relating an induced magnetic field to entropy change, and ultimately a change in material temperature...

Gadolinium (Gd) undergoes a change in entropy when a field of 7.5 Tesla is applied. This process is adiabatic and the initial temperature is 290K.

Im given the entropy and specific heat data but am confused as to how to relate this entropy change to a final temperature.

Im assuming this is an internally reversible process. If so, does the equation Q= integral of TdS apply?

Any help or point in the right direction would be greatly appreciated...

Also i should mention that the mass of Gd is 10kg

thanks!


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  • #2
pmccunney said:
...am confused as to how to relate this entropy change to a final temperature.

Sounds like a relationship between temperature and entropy, like [itex]\left(\frac{\partial T}{\partial S}\right)_P[/itex], could help, since you could separate the partial differentials and integrate them. Do you know of any physical properties related to this ratio?
 

What is entropy?

Entropy is a measure of the disorder or randomness in a system. It is a thermodynamic property that is related to the number of possible microstates of a system.

How does temperature change with an applied magnetic field?

The temperature of a system can change when an external magnetic field is applied. This is because the magnetic field can affect the motion and orientation of particles, leading to a change in their kinetic energy and therefore their temperature.

What is the relationship between entropy and temperature change with applied magnetic field?

The change in entropy of a system is directly proportional to the change in temperature with an applied magnetic field. This means that as the temperature increases, the entropy of the system also increases.

Can entropy be negative?

In some cases, the change in entropy with applied magnetic field can be negative. This means that the disorder in the system decreases with an increase in temperature. However, this is a rare occurrence and is often associated with systems that are highly ordered to begin with.

How is the concept of entropy and temperature change with applied magnetic field used in practical applications?

Entropy and temperature change with applied magnetic field are important concepts in fields like thermodynamics, materials science, and engineering. They are used to understand and predict the behavior of materials under different conditions, and to design and optimize devices such as refrigerators and heat engines.

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