Thermodynamics: Internal Pressure calculus

In summary, the conversation discusses a problem with using a template and the use of a relation to prove a result in thermodynamics. The speaker is unsure of how the result was derived and asks for help, expressing potential difficulties in understanding the development due to a lack of knowledge in partial differential equations. The other person responds with the suggestion that understanding partial differential equations is crucial for understanding thermodynamics and apologizes for the bad news.
  • #1
thesidjway
2
0
I'm extremely sorry for not using the template. One of my thermodynamics instructors used this relation to prove another result. I know what to do next and the other steps to end up at the final result but I don't know how this result came.
Is it simply mathematics that I'm not aware of, or is this a standard result? In both cases, kindly help me out! I'm stuck

[PLAIN]https://thesidjway.files.wordpress.com/2014/08/kaise.jpg[/IMG

Thanks in Advance
(I'm a first year undergraduate)
 
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  • #2
thesidjway said:
kaise.jpg
The internal energy U was expressed as U = U (S,V). Have you had anything in your courses on partial differential equations yet? If not, you are going to have big trouble understanding this development as well as all the rest of thermodynamics. Sorry for the bad news.

Chet
 

FAQ: Thermodynamics: Internal Pressure calculus

What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationship between heat, energy, and work. It explains how energy is transferred between different forms and how it affects the properties of matter.

What is internal pressure in thermodynamics?

Internal pressure in thermodynamics refers to the pressure exerted by the molecules within a system on each other due to their thermal motion. It is a measure of the average force per unit area that the molecules exert on the walls of the container.

How is internal pressure calculated?

The internal pressure of a system can be calculated using the ideal gas law, which states that the pressure is directly proportional to the number of moles, temperature, and volume of the gas. It can also be calculated using the kinetic theory of gases, which takes into account the speed and mass of the molecules.

What is the significance of internal pressure in thermodynamics?

Internal pressure is an important concept in thermodynamics as it helps us understand the behavior of gases and how they respond to changes in temperature, pressure, and volume. It is also used to calculate important thermodynamic properties such as enthalpy and entropy.

How does internal pressure affect the state of a system?

The internal pressure of a system affects its state by determining how the molecules move and interact with each other. If the internal pressure increases, the molecules will move faster and the temperature will increase. On the other hand, if the internal pressure decreases, the molecules will move slower and the temperature will decrease.

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