Help me to solve the equation from Thermodynamics

In summary: Cp, Cv, T, dP/dT, and dV/dT. They are unsure of how to approach this problem since their lecturer only gave them the equation without any details. They believe this is a details assignment and the question is asking for a proof of the left equation being equal to the right equation. The question also involves finding dU in terms of dS and dV, and representing entropy S as S(T,P).
  • #1
Adib Morzuki
5
0
Someone can help me to prove the question below please!

someone know how to derive this equation Cp-Cv=T(dP/dT)v*(dV/dT)p*?
 
Last edited:
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  • #2
You need to say what all those variables represent, and what equation(s) you have from which you wish to derive this one. What is the actual full question you are trying to answer?
 
  • #3
This sounds like a homework problem. Is it?
 
  • #4
mal4mac said:
You need to say what all those variables represent, and what equation(s) you have from which you wish to derive this one. What is the actual full question you are trying to answer?
That is the problem. My lecturer asked me to derive the equation given without any details.
 
  • #5
Chestermiller said:
This sounds like a homework problem. Is it?
More like it but it is an assignment for us. My lecturer just gave us that equation and asked to derive the equation without any details.
 
  • #7
*UPDATE*

The question are asking how to prove the left equation equal to the right equation
 
  • #8
What is dU in terms of dS and dV? If we represent the entropy S as S(T,P), what is dS in terms of the partial derivatives of S with respect to T , P, and dT and dP?

Chet
 

What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationships between heat, energy, and work. It explains how energy is transferred between systems and how it can be converted from one form to another.

Why is solving equations from thermodynamics important?

Solving equations from thermodynamics allows us to understand and predict the behavior of physical systems, such as heat engines and refrigerators. It is also crucial in designing and optimizing processes in fields like chemistry, engineering, and environmental science.

What are the main equations in thermodynamics?

The three main equations in thermodynamics are the first law, which states that energy cannot be created or destroyed, only transferred or converted; the second law, which describes the direction of energy transfer and the efficiency of processes; and the third law, which defines absolute zero and the behavior of systems at extremely low temperatures.

How do I solve equations from thermodynamics?

To solve equations from thermodynamics, you will need to apply the appropriate laws and principles, such as conservation of energy and the ideal gas law. It is important to carefully define your system and identify all relevant variables and equations before solving.

What are some common challenges in solving equations from thermodynamics?

Some common challenges in solving equations from thermodynamics include dealing with complex systems, incorporating real-world factors like friction and inefficiencies, and ensuring proper unit conversions. It is also important to be familiar with the mathematical techniques and software tools commonly used in thermodynamics, such as calculus and thermodynamic tables.

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