How Do You Prove Thermodynamic Equations for Van der Waals Gas?

In summary, thermodynamics is the branch of physics that studies the relationships between heat, energy, and work. The laws of thermodynamics include the conservation of energy, increase of entropy, and entropy at absolute zero. Heat is a form of energy while temperature is a measure of the average kinetic energy of particles. Open, closed, and isolated systems have different levels of exchange with their surroundings. To solve a thermodynamics problem, you must identify given information, apply laws and equations, use proper units, and check for accuracy.
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Homework Statement


The question c) I have attached. Capture th.PNG (27.7 KB)
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Homework Equations





The Attempt at a Solution


Use U=f(T,V) and H=f(T,P), then get Cp and Cv, so I can get gamma.
then k=(1/v)(dv/dt)
but I still can't prove it.
 

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FAQ: How Do You Prove Thermodynamic Equations for Van der Waals Gas?

What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationships between heat, energy, and work.

What are the laws of thermodynamics?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted from one form to another. The second law states that the total entropy of an isolated system will always increase over time. The third law states that the entropy of a pure crystalline substance at absolute zero temperature is zero.

What is the difference between heat and temperature?

Heat is a form of energy that is transferred from one object to another due to a difference in temperature. Temperature is a measure of the average kinetic energy of the particles in an object.

What is the difference between an open, closed, and isolated system?

An open system allows both matter and energy to be exchanged with its surroundings. A closed system allows only energy to be exchanged, while an isolated system does not allow for any exchange of matter or energy.

How do you solve a thermodynamics homework problem?

To solve a thermodynamics problem, you must first identify the given information and what is being asked. Then, apply the appropriate thermodynamic laws and equations to calculate the desired quantity. It is also important to pay attention to units and use proper conversions. Finally, make sure to check your answer for reasonableness and accuracy.

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